bluuebunny/crossref_metadata_2025 huggingface dataset:
Modelling the Stability of Asphalt Concrete with Fuzzy Logic and Statistical Methods for Various Freezing and Thawing Cycles
Authors: Özgan Ercan
Published: June 2016

The stability of asphalt concrete under the effects of freezing and thawing was studied experimentally, and the experimental test results were modelled using fuzzy logic and statistical methods. The stability was investigated experimentally using the Marshall and ultrasound methods. Asphalt core samples 10 cm in diameter were alternately frozen (–20°C for 16 hr) and thawed (16°C for 8 hr) for 5, 10, 15, 20, 25, and 30 cycles to simulate daily winter conditions. The stability of asphalt concrete at the laboratory environment temperature of 17°C was used as a reference. The results showed that the stability of asphalt core samples exposed to freezing and thawing increased, and this increase varied between 22.7% and 19.2% for 5- and 30-day cycles, respectively. By using Fuzzy Logic and statistical methods, prediction models were constituted based on freezing-thawing cycle, bitumen ratio, saturated unit volume weight, volume of voids, air dry unit volume weight to predict the Stability of asphalt concrete which could not be determined with experimental. The experimental results, the fuzzy logic model, and the statistical results showed good correlations. For the stability of asphalt core samples, the correlation coefficient was R2 = 0.88 for the fuzzy logic model and R2 = 1.0 for the statistical method. Based on the results of this study, it is clear that both the fuzzy logic and statistical methods can be used to model the stability of asphalt concrete under various freezing and thawing conditions.
Noether, Partial Noether Operators and First Integrals for the Coupled Lane-Emden System
Authors: Muatjetjeja Ben , Khalique Chaudry
Published: June 2016

Systems of Lane-Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution and chemical reactions. In this paper we construct Noether and partial Noether operators corresponding to a Lagrangian and a partial Lagrangian for a coupled Lane-Emden system. Then the first integrals with respect to Noether and partial Noether operators are obtained for the Lane-Emden system under consideration. We show that the first integrals for both the Noether and partial Noether operators are the same. However, the gauge function is different in certain cases.
Application of Taylor Matrix Method to the Solution of Longitudinal Vibration of Rods
Authors: Çevik Mehmet
Published: June 2016

The present study introduces a novel and simple matrix method for the solution of longitudinal vibration of rods in terms of Taylor polynomials. The proposed method converts the governing partial differential equation of the system into a matrix equation, which corresponds to a system of linear algebraic equations with unknown Taylor coefficients. Then the solution is obtained easily by solving these matrix equations. Both free and forced vibrations of the system are studied; particular and general solutions are determined. The method is demonstrated by an illustrative example using symbolic computation. Comparison of the numerical solution obtained in this study with the exact solution is quite good.
An Algebraic Approach for Determining the Optimal Lot Size for EPQ Model with Rework Process
Authors: Chiu Singa , Cheng Chi-Bin , Wu Mei-Fang , Yang Jyh-Chau
Published: June 2016

This paper presents a simple algebraic approach for deriving the optimal lot size for economic production quantity (EPQ) model with rework process. Conventional methods for solving lot size problems are by using differential calculus on the long-run average production-inventory cost function with the need to prove optimality first. A few recent articles proposed the algebraic approach to the solution of classic economic order quantity (EOQ) and EPQ model without reference to the use of derivatives. This paper extends it to an EPQ model with reworking of defective items. We demonstrate that optimal lot size and optimal production-inventory cost for such an imperfect EPQ model can be derived without derivatives. As a result, it may enable the practitioners or students who with little knowledge of calculus to understand or handle with ease the realistic production systems.
Method for Multiple Attribute Decision-Making with Continuous Random Variable under Risk Based on Projection Model
Authors: Jin Fang , Zhang Xin , Liu Peide
Published: June 2016

A rank approach based on projection model is proposed to deal with multiple attribute decision-making[MADM] problems under risk and with attribute value as continuous random variable on bounded intervals. Firstly, risk decision matrix is normalized by density function, and weights of attributes are calculated based on exception value of random variable by using projection pursuit model and genetic algorithm. Next, through calculating weighted correlation coefficients between alternatives and ideal solutions, weighted grey correlation projection models on ideal solutions are developed by grey correlation projection method for every alternative. Furthermore, alternatives are ranked by grey correlation projection value. Finally, an MADM example with interval numbers is provided to demonstrate the steps and effectiveness of the proposed approach.
High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation
Authors: Sari Murat , Gürarslan Gürhan , Zeytinoğlu Asuman
Published: June 2016

Up to tenth-order finite difference schemes are proposed in this paper to solve one-dimensional advection-diffusion equation. The schemes based on high-order differences are presented using Taylor series expansion. To obtain the solutions, up to tenth-order finite difference schemes in space and a fourth-order Runge-Kutta scheme in time have been combined. The methods are implemented to solve two problems having exact solutions. Numerical experiments have been conducted to demonstrate the efficiency and high-order accuracy of the current methods. The techniques are seen to be very accurate in solving the advection-diffusion equation for Pe ≤ 5 . The produced results are also seen to be more accurate than some available results given in the literature.
The Emergence of Spherical Magneto-Gas Dynamic Strong Shock with Radiation near the Surface of a Star with a Rotating , Gravitating, Non-Uniform Atmosphere
Authors: Ganguly Ashok , Sharma Pankaj
Published: June 2016

The propagation of a strong magneto-gas dynamic, rotating and gravitating shock wave originating in a stellar interior is considered, when it approaches the surface of the star. The flow behind the shock wave is assumed to be spatially isothermal rather than adiabatic to simulate the conditions of large radiative transfer near the stellar surface. It has been observed that gravitation and rotation have important impact upon the emergence of shock at the surface of the star.
On a New Class of Models in Elasticity
Authors: Rajagopal K.
Published: June 2016

Recently, Rajagopal and co-workers have shown (see Rajagopal [1], Rajagopal and Srinivasa [2],[3], Bustamante and Rajagopal[4], Rajagopal and Saccomandi [5]) that if by an elastic body one means a body that is incapable of dissipation, then the class of such bodies is far larger than either Green elastic or for that matter Cauchy elastic bodies as one could model elastic bodies using implicit constitutive relations between the Cauchy stress and the deformation gradient or implicit constitutive relations that are rate equations involving the Piola-Kirchhoff stress and the Green-St.Venant Strain (see Rajagopal and Srinivasa [2]). Such a generalized framework allows one to develop models whose linearization with regard to the smallness of the displacement gradient allows one to obtain models that have limited linearized strains even while the stresses are very large. Such a possibility has important consequences to problems which, within the context of the classical linearized theory, leads to singularities. In this short paper, we illustrate the implications of such models by considering simple problems within the context of a specific model belonging to the general class, wherein the strains remain small as the stresses tend to very large values.
Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop
Authors: Moremedi G.M. , Mason D.P.
Published: June 2016

The flow interior and exterior to a viscous liquid drop in steady motion in an unbounded quiescent fluid is investigated using the perturbation solution of Taylor and Acrivos (1964) to first order in the Reynolds number. New analytical results are derived for the detached wake behind the drop. It is found that as the viscosity of the drop tends to infinity the wake becomes attached to the surface of the drop and the results of Proudman and Pearson (1957) for a solid sphere are rederived.
Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation
Authors: Mureithi E.W. , Mason D.P.
Published: June 2016

The boundary layer flow over a horizontal plate with power law variations in the freestream velocity and wall temperature of the form Ue ∼ xn and Tw − T∞ ∼ xm and with viscous dissipation, is studied. The boundary layer equations are transformed to a dimensionless system of equations using a non–similarity variable ξ(x) and a pseudo-similarity variable η (x, y). The effects of the various parameters of the flow on velocity and temperature distribution in the boundary layer, on the local skin friction and local heat transfer coefficients and on the non–similar terms, are investigated.
Integration of Systems of ODEs via Nonlocal Symmetry-Like Operators
Authors: Farooq M. , Mahomed F. , Rashid M.
Published: June 2016

We apply nonlocal symmetry-like operators to systems of two first and two second-order ordinary differential equations to seek reduction to quadratures. The reduction of order of such systems is carried out with the help of analytic continuation of scalar equations in the complex plane. Examples are taken from the literature. Precisely it is shown how the reduction to quadratures of a system of two second-order ordinary differential equations that admits four Lie-like operators with certain structure is obtainable from a restricted complex ordinary differential equation possessing a connected two-dimensional complex Lie algebra. A direct method of integration for a system of two first and second-order equations which possess nonlocal symmetry-like operators are given. Moreover, we present the use of nonlocal Noether-like operators to effect double reduction of order of systems of two second-order equations that arise from the corresponding scalar complex Euler- Lagrange equations which admit nonlocal Noether symmetry.
Magnetic Field and Endoscope Influences on Peristaltic Transport: An Exact Solution
Authors: Hayat T. , Abelman S. , Momoniat E. , Mahomed F.
Published: June 2016

The effect of magnetic field on peristaltic flow through the gap between uniform tubes is studied under the assumption of long wavelength at low Reynolds number. The inner tube is rigid and the outer tube has a sinusoidal wave travelling down its wall. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The analytical solution for velocities and pressure gradient is derived. The effects of magnetic field and an endoscope on the velocities, pressure gradient, pressure rise and frictional forces on the inner and outer tubes are examined.
A Class of Charged Relativistic Spheres
Authors: Komathiraj K. , Maharaj S.D.
Published: June 2016

We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model the interior of charged relativistic objects. These solutions can be written in terms of special functions in general; for particular parameter values it is possible to find solutions in terms of elementary functions. Our results contain models found previously for uncharged neutron stars and charged isotropic spheres.
Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity
Authors: Moitsheki R. , Abelman S. , Hayat T.
Published: June 2016

In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel. Constitutive equations obeying a power law fluid are used in the description of the mathematical problem. We obtain forms of the source term for which the governing system admits extra point symmetries. Invariant solutions which satisfy physical boundary conditions are constructed. In some cases we resort to numerical methods to obtain approximate solutions.
Symmetry Reduction and Numerical Solution of a Third-Order ODE from Thin Film Flow
Authors: Momoniat E. , Mahomed F.M.
Published: June 2016

A new approach to solving high-order ordinary differential equations numerically is presented. Instead of the usual approach of writing a high-order ordinary differential equation as a system of first-order ordinary differential equations, we write the high-order ordinary differential equation in terms of its differential invariants. The third-order ordinary differential equation y′′′ = y−k for constant k is used to illustrate this approach for the cases k = 2 and k = 3.
The Multi-Wave Method for Nonlinear Evolution Equations
Authors: Shi Yeqiong , Dai Zhengde , Han Song , Huang Liwei
Published: June 2016

The multi-wave method is proposed to find new exact solitary solutions of nonlinear evolution equations. The Caudrey-Dodd-Gibbon-Kaeada equation is employed as an example to illustrate the effectiveness of the suggested method and some new wave solutions with four different velocities and frequencies are obtained. Obviously, the method can be applied to solve other types of nonlinear evolution equations as well.
Non-Linear Analysis of Stress and Strain of Concrete-Faced Rockfill Dam for Sequential Impoundment Process
Authors: Yu He , Li Shouju , Liu Yingxi , Zhang Jun
Published: June 2016

The rockfill is modeled as nonlinear elastic material, whose stress-dependent tangent modulus is related to the confining pressure. The parameters of constitutive relationship of stress and strain are determined by tri-dimensional compression test in laboratory. The model applied in this study adopts the technique of element birth and death to simulate the sequential impoundment process of concrete-faced rockfill dam with time. Nonlinear finite element method is used to simulate the prototype behavior of various components of the dam in sequential nonlinear analysis and some representative results are presented.
Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities
Authors: Chen Y. , Meng G. , Liu J.
Published: June 2016

The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities. In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed. Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.
Analytical Solution to Determine Displacement of Nonlinear Oscillations with Parametric Excitation by Differential Transformation Method
Authors: Fereidoon A. , Kordani N. , Rostamiyan Y. , D.Ganji D.
Published: June 2016

In this study, sub-harmonic displacement of nonlinear oscillations with parametric excitation is solved using a simulation method called the Differential Transformation Method (DTM). We employed this method to derive solutions of nonlinear oscillations with parametric excitation equation. Also Runge-Kutta as numerical method is exerted to this equation too. The obtained results from DTM are compared with those from the numerical solution to verify the accuracy of the proposed method. The results specify that the technique introduced here is accurate and achieve suitable results in predicting the solution of such problems.
Numerical Simulations of Yarn Unwinding from Packages
Authors: Praček Stanislav , Franci Sluga
Published: June 2016

We derive a system of coupled nonlinear differential equations that govern the motion of yarn in general. The equations are written in a (non-uniformly) rotating observation frame and are thus appropriate for description of over-end unwinding of yarn from stationary packages. We comment on physical significance of virtual forces that appear in a non-inertial frame and we devote particular attention to a lesser known force, that only appears in non-uniformly rotating frames. We show that this force should be taken into account when the unwinding point is near the edges of the package, and the quasi-stationary approximation is not valid because the angular velocity is changing with time. The additional force has an influence on the yarn dynamics in this transient regime where the movement of yarn becomes complex and can lead to yarn slipping and even breaking.
Application of the Phase Space Reconstruction in Ecology
Authors: Wang Yuzhi , Li Bo , Wang Renqing , Su Jing , Rong Xiaoxia
Published: June 2016

A brief introduction to phase space reconstruction in ecology is given, and the application of the method to rodent populations is illustrated. Results show that phase space reconstruction is highly convenient and effective when utilized in short-term predictions in natural population.
New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation
Authors: Li Zitian , Dai Zhengde , Liu Jun
Published: June 2016

By the extended homoclinic test technique, explicit solutions of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation.
Mechanics Analysis of 3D Braided Composites Based on the Helix Geometry Model
Authors: Zeng Tao , Jiang Lili
Published: June 2016

The helix geometry model of 3D braided composites has been presented, which truly reflects the braided manner and coincides with the actual configuration of the braided composites. The longitudinal tensile stress-strain relationships and the strength of 3D braided composites under the tension loading have been predicted by a finite multiphase element method (FMEM) based on the helix geometry model. Comparisons are conducted for those from the present model and experiment. The results obtained from the present model are supported by the experimental data. The numerical results show that the braiding angle has a significant influence on the strength of 3D braided composites.
Nonlinear Analysis of Damage Evolution for Steel Structures under Earthquake
Authors: Duan Hongxia , Li Shouju , Liu Yingxi
Published: June 2016

The evolution of plastic deformation and damage in steel frame buildings caused by seismic action is simulated based on a modified damage model. This model combines nonlinear isotropic and kinematic hardening criteria with a damage evolution law expressed in terms of plastic displacement. A nine-story steel frame is chosen as a reference structure, and a nonlinear damage analysis is performed using ABAQUS with the El Centro earthquake accelerogram as input. The results reveal that the beam ends on the upper floors exhibit more obvious plastic deformation and form damage domains, which is consistent with the observed seismic damage of high-rise steel structures during the Northridge earthquake.
Soft Compressible Porous Mat For "Flying" Vehicles
Authors: Liu Yang-Shuai , He Ji-Huan
Published: June 2016

This paper explores the performance of a flying vehicle on a soft porous blanket at a high speed. The flying vehicle employs the basic principle of lubrication theory. An airplane can fly in air, because air is strong enough to support the airplane. The flying vehicle can also fly on the soft porous blanket if the moving body pushes air in the soft compressible porous mat. A model is established.
Nonlinear Vibration Analysis of a Rigid Rod on a Circular Surface via Hamiltonian Approach
Authors: Khan Y. , Wu Q. , Askari H. , Saadatnia Z. , Kalami-Yazdi M.
Published: June 2016

This paper applies the Hamiltonian approach a nonlinear oscillator of a rigid rod on a circular surface without slipping, and its natural frequency is obtained. Comparison of the obtained result with the exact one shows good agreement even for large amplitudes and strong nonlinearities.
A Facility Layout Problem in a Marble Factory via Simulation
Authors: Edis Rahime , Kahraman Bayram , Araz Özlem , Özfırat M.
Published: June 2016

The marble factory in this study is a typical instance of a flow shop based production system. Adding new machines to the plant and/or introducing a new product may convert the actual layout to an inefficient one. Such cases may cause a significant increase in transportation of materials between machines that decreases the utilization rates of machines and operators as well as overall productivity. Therefore, facility planning is a key issue in marble plants in terms of total cost and customer satisfaction. Another important property of these plants is its dynamic and stochastic behavior in terms of scrap rates, demands and processing times. The aim of this study is to develop an efficient plant layout for such dynamic systems. At first, the simulation model of the current system is built on ARENA 10.0. Then, an alternative layout is generated after some analysis and then, it is evaluated via simulation model. The proposed layout provides reduction in total transportation time as well as an increase in productivity.
Exp-Function Method for Solving Nonlinear Evolution Equations
Authors: Misirli Emine , Gurefe Yusuf
Published: June 2016

In this paper, we applied Exp-function method to some nonlinear evolution equations. The solution procedure of this method, by the help of symbolic computation of Matlab, Mathematica or so on, is of utter simplicity. The obtained results show that Exp-function method is very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.
Amplitude Noise Reduction in a Nano-Mechanical Oscillator
Authors: Kolkiran Aziz
Published: June 2016

We study the quantum properties of a nano-mechanical oscillator via the squeezing of the oscillator amplitude. The static longitudinal compressive force 0 F close to a critical value at the Euler buckling instability leads to an anharmonic term in the Hamiltonian and thus the squeezing properties of the nano-mechanical oscillator are to be obtained from the Hamiltonian of the form H = a+a + β(a+ + a) / 4 . This Hamiltonian has no exact solution unlike the other known models of nonlinear interactions of the forms a+2 a2, (a2a)2 and a+4 + a4 - (a+2 a2 + a2 a+2 ) previously employed in quantum optics to study squeezing. Here we solve the Schrodinger equation numerically and show that in-phase quadrature gets squeezed for both vacuum and coherent states. The squeezing can be controlled by bringing F0 close to or far from the critical value Fc. We further study the effect of the transverse driving force on the squeezing in nano-mechanical oscillator.
About Dual Spherical Wrist Motion and Its Trajectory Surface as a Ruled Surface
Authors: Kuşak Hatice , Çalışkan Ali
Published: June 2016

Solid object rotations or rotations of unit real vectors are often used in robotic moves. Yet, due to the complexity of calculations in kinematics analysis, quaternions began to be used in robotic moves. Quaternions help us to calculate rotations in reel space, and rotation and translation in dual space. Furthermore, we can easily define a screw or an axis through dual vectors. In recent years, there has been efficient studies in mechanics analysis by using dual quaternions and screw moves. In this study, we transferred the well known sequential and modular methods for the rotations being formed in real spherical wrist moves to dual space. Hence, while we rotate the unit vectors only in real space, now we can rotate screws .Hence, while we rotate the unit vectors only in real space, now we can rotate screws or the axis in the dual spherical mechanisms in dual kinematics. Through this study, by being switched to dual spherical mechanism the first time, we will see that we can carry out what we do with unit vectors in real space as well as in dual space. Furthermore, while the orbits drawn by the joint moves are curves in reel spherical wrist moves, the orbits drawn by the joint moves are ruled surfaces in dual spherical wrist moves. We think that this situation would establish a base for different mechanics studies.
The Curvature of a Bézier Control Polyline
Authors: Tantay Bahadır , Taş Ferhat
Published: June 2016

The role of differential geometry in describing a curve can not be denied. The differential forms defined for Bézier curves which are widely used in computer aided geometric design, plays a significant role in classification and image processing of curves. For this reason, the definitions such as Serret-Frenet frame, curvature and torsion which are described for Bézier curves are very important in computer aided geometric design. In this paper, in addition to these definitions we have also defined a new classification by applying angular curvature used for planar curves in computational geometry to Bézier control polygon.
The Prediction of Swell Percent and Swell Pressure by Using Neural Networks
Authors: Erzin Yusuf , Güneş Nazmi
Published: June 2016

Expansive soils exhibit significantly high volumetric deformations and so pose a serious threat to stability of the structures and foundations. Thus, determination of their swelling properties (i.e. swelling potential and swell pressure) becomes essential. However, measurement of the swelling properties is time-consuming and requires special and expensive equipment. With this in view, efforts were made to develop artificial neural network (ANN) and multiple regression analysis (MRA) models that can be employed for estimating swell percent and swell pressure. To achieve this, the results of free swell tests performed on statically compacted specimens of Kaolinite-Bentonite clay mixtures with varying soil properties were used. Two different ANN (ANN-1 and ANN-2) and MRA (MRA-1 and MRA-2) models have been developed: ANN-1 and MRA-1 models for predicting swell percent and ANN-2 and MRA-2 models for predicting swell pressure. The results obtained from ANN and MRA models were compared vis-à-vis those obtained from the experiments. The values predicted from the ANN models match the experimental values much better than those obtained from MRA models. Moreover, several performance indices such as determination coefficient (R2), variance account for (VAF), mean absolute error (MAE), and root mean square error (RMSE) were calculated to check the prediction capacity of the ANN and MRA models developed. The obtained indices make it clear that the constructed ANN models have shown higher prediction performance than MRA models. It has been demonstrated that the ANN models can be used satisfactorily to predict swell percent and swell pressure as a rapid inexpensive substitute for laboratory techniques.
Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration
Authors: Sari Murat
Published: June 2016

Numerical solutions of the generalized Burgers-Fisher equation are presented based on a polynomial-based differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a third-order strong stability preserving Runge-Kutta scheme in time have been used. The proposed technique successfully worked to give reliable results in the form of numerical approximation converging very rapidly. The computed results have been compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations were obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems.
Effect of Abutment and Implant Shapes on Stresses in Dental Applications Using Fem
Authors: Mammadzada Sakhavat , Artunç Celal , Sen Faruk , Güngör Mehmet , Tekin Uğur , Çömlekoğlu Erhan
Published: June 2016

In this study, the effect of abutment and implant shapes on stresses in dental applications was investigated, numerically. During the numerical analysis, finite element method (FEM) was used due to a powerful stress analysis method. The three different abutment-implant systems based on producing from different commercial firms were modeled. The Nextengine and Rhinoceros programs were used for three dimensional tooth scan and creation of the solid models. Additionally, Algor Fenpro analysis program was used for three dimensional stress analyses. According to obtained results, the Von Mises stress distributions on abutment, implant and cortical bone are affected from abutment and implant shapes, clearly. If it is possible, the using of any hole in the implant should not be used. Additionally, the bigger collars on the abutment provide to reduce of Von Mises stresses.
An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value
Authors: Allahviranloo T. , Abbasbandy S. , Saneifard R.
Published: June 2016

In the present paper, the researchers discuss the problem of weighted interval approximation of fuzzy numbers. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. Then, by using this, the researchers propose a novel approach to ranking fuzzy numbers. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques.
Infrared Free Electron Laser, Resonator Parameters Optimization with GENESIS, OPC and GLAD Codes
Authors: Yildiz Hatice
Published: June 2016

A wide range-infrared free electron laser (IR-FEL) is being constructed for science and industrial applications in the Accelerator Technologies Institute, Ankara University. In the facility, in order to obtain electron beam with energy 40 MeV, 4.5 cell RF cavities are considered. IR-FEL system covers 2.5-250 µm wavelength range that based on 15-40 MeV e-linac and two undulators to generate up to 250 μm coherent infrared radiations. In this study, IR-FEL Resonator System parameters, mirror parameters, undulator parameters besides mirror diffraction losses are calculated and optimized with analytically and by using Optical Propagation Code and GENESIS 1.3. These Codes are also used to simulate beam behavior inside the resonator and along the undulator while GLAD Code is used for mirror diffraction losses.
Expression of Dual Euler Parameters Using the Dual Rodrigues Parameters and Their Application to the Screw Transformation
Authors: Gürsoy Ayşın , Karakılıç İlhan
Published: June 2016

Dual numbers and dual vectors are widely used in spatial kinematics [3,5- 15,18]. Plücker line coordinates of a straight line can be represented by a dual unit vector located at the dual unit sphere (DUS). By this way, the trajectory of the screw axis of a rigid body in 3 R (the real three space) corresponds to a dual curve on the DUS. This correspondence is done through Study Mapping [8,9]. Conversely a dual curve on DUS obtained from the rotations of the DUS represents a rigid body motion in 3 R [8]. The dual Euler parameters are used in defining the screw transformation in 3 R [8], but originally in this paper these parameters are constructed from the Rodrigues and the dual Rodrigues parameters [15].
Application of Energy and Exergy Analyses to a CI Engine Using Biodiesel Fuel
Authors: Sekmen Perihan , Yılbaşı Zeki
Published: June 2016

In recent years, exergy analysis method has been widely used in the design, simulation and performance assessment of various types of engines for identifying losses and efficiencies. In this study, the first and second Laws of thermodynamics are employed to analyze the quantity and quality of energy in a four-cylinder, direct injection diesel engine using petroleum diesel fuel and biodiesel fuel. The experimental data were collected using steady-state tests which enable accurate measurements of air, fuel and cooling water flow rates, engine load, and all the relevant temperatures. Balances of energy and exergy rates for the engine were determined and then various performance parameters and energy and exergy efficiencies were calculated for each fuel operation and compared with each other. The results of tested biodiesel offer similar energetic performance as petroleum diesel fuel. In addition to this, the exergetic performance parameters usually follow similar trends according to the energetic performance parameters.
Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations
Authors: Abbasbandy S. , Allahviranloo T. , Darabi P. , Sedaghatfar O.
Published: June 2016

In this paper, the variational iteration method (VIM) is employed to solve a system of fuzzy differential equations of first order. Since every ordinary fuzzy differential equations of higher order can be converted into a fuzzy system of the first order, this method can be used for solving n -th order fuzzy differential equations. Also the convergency of VIM for this system is proved. Finally to more illustrate several examples are solved.
Inequivalence of Classes of Linearizable Systems of Second Order Ordinary Differential Equations Obtained by Real and Complex Symmetry Analysis
Authors: Safdar M. , Qadir Asghar , Ali S.
Published: June 2016

Linearizability criteria for systems of two cubically semi-linear second order ordinary differential equations (ODEs) were obtained by geometric means using real symmetry analysis (RSA). Separately, complex symmetry analysis (CSA) was developed to provide means to discuss systems of two ODEs. It was shown that CSA provides a class of linearizable systems of two cubically semi-linear ODEs. Linearizability criteria for this class were also developed. It is proved that the two classes of linearizable systems of two ODEs, provided by CSA and RSA, are inequivalent under point transformations.
On Strongly Almost Convergent Sequence Spaces of Fuzzy Numbers
Authors: Savaş Ekrem
Published: June 2016

In this paper we define some new almost convergent sequence spaces of fuzzy numbers through a non- negative regular matrix and we also examine some topological properties and some inclusion relations for these new sequence spaces.
A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift
Authors: Allan Mohamed
Published: June 2016

The paper is concerned with the applicability of the collocation method to a class of nonlinear singular integral equations with a Carleman shift preserving orientation on simple closed smooth Jordan curve in the generalized Holder space Hφ(L).
Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation
Authors: Moleleki L. , Johnpillai A. , Khalique C.
Published: June 2016

We study the generalized (2+1)-Zakharov-Kuznetsov (ZK) equation of time dependent variable coefficients from the Lie group-theoretic point of view. The Lie point symmetry generators of a special form of the class of equations are derived. We classify the Lie point symmetry generators to obtain the optimal system of onedimensional subalgebras of the Lie symmetry algebras. These subalgebras are then used to construct a number of symmetry reductions and exact group-invariant solutions to the underlying equation.
On the Numerical Solution of Fractional Partial Differential Equations
Authors: Vanani Solat , Aminataei Azim
Published: June 2016

In this paper, a technique generally known as meshless method is presented for solving fractional partial differential equations (FPDEs). Some physical linear and nonlinear experiments such as time-fractional convective-diffusion equation, timefractional wave equation and nonlinear space-fractional Fisher's equation are considered. We present the advantages of using the radial basis functions (RBFs) especially wherein the data points are scattered. Comparing between the numerical results obtained from our method and the other methods confirms the good accuracy of the presented scheme.
A Proposed Model for Candidate Selection Process in Political Parties Based on Fuzzy Logic Methodology
Authors: Gökşen Yılmaz , Doğan Onur , Eminağaoğlu Mete
Published: June 2016

Classical logic and classical set theorems are not sufficient enough when it is necessary to deal with complex decision making problems which also involve human experiences. Some researches suggest that senior management usually makes intuitive decisions in the process of selecting the candidates in political parties which brings out the need to derive a new efficient, robust and applicable method. In this study, the qualitative characteristics and their significance level which could be used for the candidate selection process in political parties are determined. The candidate selection process consisting vague inputs is analyzed by fuzzy logic methodology and a quantitative final score has been determined for the candidate. It has been shown that the model provided some realistic and promising results which could enable fur
Biquaternionic Description of the Schrödinger Equation
Authors: TANIŞLI Murat , DEMİR Süleyman
Published: June 2016

This paper begins with the introduction of biquaternion algebra and its properties in compact, profound and comprehensible approach. The Schrödinger equation including both the scalar Aharonov-Bohm(sAB) and Aharonov-Casher(AC) effects, that are currently popular in particle physics and condensed-matter physics, has been re-written by biquaternions. The newly biquaternionic Schrödinger equation, which is defined with various assumptions and approaches, also includes the biquaternionic generalized momentum in Hamiltonian.
A Complementary on Proposing a New Model on Data Envelopment Analysis by Considering Non Discretionary Factors and a Review on Previous Models
Authors: Abri A.Gholam , Jelodar M.
Published: June 2016

As the title suggests, this paper constitutes a modification and improvement of the paper by Gholam Abri et al, “PROPOSING A NEW MODEL ON DATA ENVELOPMENT ANALYSIS BY CONSIDERING NON DISCRETIONARY FACTORS AND A REVIEW ON PREVIOUS MODELS”.
A New Method for Solving Matrix Equation AXB + CXT D = E
Authors: Wang Minghui
Published: June 2016

In this paper, we propose a new iterative algorithm to solve the matrix equation AXB + CXT D = E. The algorithm can obtain the minimal Frobenius norm solution or the least-squares solution with minimal Frobenius norm. Our algorithm is better than Algorithm II of the paper [M. Wang, etc., Iterative algorithms for solving the matrix equation AXB + CXT D = E, Appl. Math. Comput. 187, 622-629, 2007]
Approximate Solutions of Linear Fredholm Integral Equations System with Variable Coefficients
Authors: Yalçınbaş Salih
Published: June 2016

In this paper, a new approximate method has been presented to solve the linear Fredholm integral equations system (FIEs). The technique is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to Show this capability and robustness, some systems of FIEs are solved by the presented method in order to obtain their approximate solutions.
Anti-Periodic Solutions for Neural Networks with Delays and Impulses
Authors: Shi Peilin , Dong Lingzhen
Published: June 2016

In this paper we investigate a class of artificial neural networks with delays subject to periodic impulses. By exploiting Lyapunov functions, we analyze the global exponential stability of an arbitrary solution with initial value being bounded by Υ . Further, we discuss the existence of anti-periodic solutions by constructing fundamental function sequences based on a solution with initial value being bounded by γ . We also establish sufficient conditions to ensure the existence, uniqueness and exponential stability of anti-periodic solutions, which are new and easily verifiable. At last, we present a network with its time-series and phase graphics to demonstrate our results.
Some I-Convergent Sequence Spaces of Fuzzy Numbers Defined by Infinite Matrix
Authors: Savaş Ekrem
Published: June 2016

In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces.
Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption
Authors: Yang Shu-Hong , Li Chui-Gui , Xia Dong-Xue , Wang Meng , Wang Xiao-Rong
Published: June 2016

In this paper, we present a new lattice model of traffic flow by considering the effects of traffic interruption probability. The stability condition of the proposed model is obtained by employing the linear stability theory. The results show that the stability of traffic flow is improved by considering the influence of traffic interruption. Applying the method of nonlinear analysis, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic behavior near the critical point. The kink- antikink soliton and the solution of the mKdV equation are obtained to describe the traffic jams. The good agreement between theoretical analysis and numerical simulation indicates that our new consideration can stabilize the traffic flow effectively.
Finite Element Modeling of Friction Stir Welding in Aluminum Alloys Joint
Authors: Kıral Binnur , Tabanoğlu Mustafa , Serindağ H.
Published: June 2016

This study aims to model friction stir welding of the aluminum alloys using the finite element method. For this purpose, transient thermal finite element analyses are performed in order to obtain the temperature distribution in the welded aluminum plate during the welding operation. Heat input from the tool shoulder and the tool pin are considered in the finite element model. A moving heat source with a heat distribution simulating the heat generated from the friction between the tool shoulder and the work piece is used in the heat transfer analysis. Three-dimensional models are carried out by using ANSYS and HyperXtrude commercial softwares. APDL (ANSYS Parametric Design Language) code is developed to model moving heat source and change boundary conditions.
Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework
Authors: Cárdenas-Barrón Leopoldo , Sarkar Biswajit , Treviño-Garza Gerardo
Published: June 2016

Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They solve the inventory problem by considering both variables as continuous. However, the number of shipments must be considered as discrete variable. In this direction, this paper revisits and solves the inventory problem of [1-2] considering the decision variables according to their nature. Two easy and improved algorithms are proposed which simplify and complement the research works of [1-2].
RETRACTED: Higher-order Spectral/hp Finite Element Technology for Shells and Flows of Viscous Incompressible Fluids
Authors: Vallala V. , Reddy J.
Published: June 2016

This study deals with the use of high-order spectral/hp approximation
functions in finite element models of various of nonlinear boundary-value and
initial-value problems arising in the fields of structural mechanics and flows of viscous
incompressible fluids. [...]
Performance Improvement in Vslam Using Stabilized Feature Points
Authors: Şahin Caner , Ünel Mustafa
Published: June 2016

Simultaneous localization and mapping (SLAM) is the main prerequisite for the autonomy of a mobile robot. In this paper, we present a novel method that enhances the consistency of the map using stabilized corner features. The proposed method integrates template matching based video stabilization and Harris corner detector. Extracting Harris corner features from stabilized video consistently increases the accuracy of the localization. Data coming from a video camera and odometry are fused in an Extended Kalman Filter (EKF) to determine the pose of the robot and build the map of the environment. Simulation results validate the performance improvement obtained by the proposed technique.
Taylor Collocation Method for Solving a Class of the First Order Nonlinear Differential Equations
Authors: Taştekin Dilek , Yalçınbaş Salih , Sezer Mehmet
Published: June 2016

In this study, we present a reliable numerical approximation of the some first order nonlinear ordinary differential equations with the mixed condition by the using a new Taylor collocation method. The solution is obtained in the form of a truncated Taylor series with easily determined components. Also, the method can be used to solve Riccati equation. The numerical results show the effectuality of the method for this type of equations. Comparing the methodology with some known techniques shows that the existing approximation is relatively easy and highly accurate.
A Comparative Study of Artificial Neural Networks and Logistic Regression for Classification of Marketing Campaign Results
Authors: Koç Ali , Yeniay Özgür
Published: June 2016

In this study, we focus on Artificial Neural Networks which are popularly used as universal non-linear inference models and Logistic Regression, which is a well known classification method in the field of statistical learning; there are many classification algorithms in the literature, though. We briefly introduce the techniques and discuss the advantages and disadvantages of these two methods through an application with real-world data set related with direct marketing campaigns of a Portuguese banking institution. The classification goal is to predict if the client will subscribe a term deposit or not after campaigns.
Numerical Investigation of Impinging Jets with Nanofluids on a Moving Plate
Authors: Ersayın Erdem , Selimefendigil Fatih
Published: June 2016

In this study a numerical investigation of an impinging jet flow, on a heated moving plate, is presented. The purpose of this study is to numerically investigate the effects of various parameters such as nanoparticle volume fraction, pulsating frequency, plate velocity, Reynolds number on the heat transfer characteristics. Navier-Stokes equations and energy equations are solved with a commercial finite volume based code. It is observed that adding nanoparticles increases the peak value of Nusselt number. It is also observed that the value of Nusselt number at the stagnation point is higher at the low velocities of impingement surface. In the unsteady case, heat transfer enhancement is seen at low frequencies.
Müntz-Legendre Polynomial Solutions of Linear Delay Fredholm Integro-Differential Equations and Residual Correction
Authors: Yüzbaşı Şuayip , Gök Emrah , Sezer Mehmet
Published: June 2016

In this paper, we consider the Müntz-Legendre polynomial solutions of the linear delay Fredholm integro-differential equations and residual correction. Firstly, the linear delay Fredholm integro-differential equations are transformed into a system of linear algebraic equations by using by the matrix operations of the Müntz-Legendre polynomials and the collocation points. When this system is solved, the Müntz- Legendre polynomial solution is obtained. Then, an error estimation is presented by means of the residual function and the Müntz-Legendre polynomial solutions are improved by the residual correction method. The technique is illustrated by studying the problem for an example. The obtained results show that error estimation and the residual correction method is very effective.