bluuebunny/crossref_metadata_2025 huggingface dataset:
A Genetic Algorithm to Solve the Multidimensional Knapsack Problem
Authors: Berberler Murat , Guler Asli , Nurıyev Urfat
Published: June 2016

In this paper, The Multidimensional Knapsack Problem (MKP) which occurs in many different applications is studied and a genetic algorithm to solve the MKP is proposed. Unlike the technique of the classical genetic algorithm, initial population is not randomly generated in the proposed algorithm, thus the solution space is scanned more efficiently. Moreover, the algorithm is written in C programming language and is tested on randomly generated instances. It is seen that the algorithm yields optimal solutions for all instances.
Determination of the Impact Behavior of Concrete and Reinforced Concrete Beams
Authors: Gücüyen Engin , Erdem R. , Kantar Erkan , Bağcı Muhiddin
Published: June 2016

Behavior types of structural members under various loads have been a main field of interest in engineering sciences. There have been several studies performed about determining the behavior of members under tensile, compression, bending and torsion loads until today. However, terrorist attacks and destructive earthquakes have aroused interests of scientists and engineers about solutions of impact problems. In this study, behavior of concrete and reinforced concrete beams under impact loads is investigated. For this purpose, a testing apparatus has been created. Data obtained from experimental study are compared with the analysis results of ABAQUS finite elements program.
Multi Response Optimization Application on a Manufacturing Factory
Authors: Akçay Hakan , Anagün A. Sermet
Published: June 2016

The purpose of real-life problems is often to be able to find less expensive and more effective ways of production without compromising product quality because companies must provide competitive advantage to maintain existence. In order to improve quality, design of experiment techniques is employed. RSM is a widely used technique thanks to its minimum number of experiment requirement. Hence it is used especially with continuous solution spaces and high-cost experimentations. Moreover, in most cases there is more than one response that firms must optimize simultaneously. For instance companies want to reduce the costs while improving product quality. Decision making is more difficult when conflicting objectives exist. For this reason multi response optimization is an important field to study. In this study, optimization of a manufacturing problem with two responses was carried out by the application of response surface methodology (RSM) and desirability function.
On the Thermal Buckling Behavior of Laminated Hybrid Composite Plates Due to Square/Circular Cut-Outs
Authors: Erkliğ Ahmet , Yeter Eyüp
Published: June 2016

Cut-outs like circular, rectangular, elliptical, triangular are generally used in composite structures due to access ports for mechanical and electrical systems, damage inspection, to serve as doors and windows, and sometimes to reduce the overall weight of the structure. In this paper the effects of cut-outs on the thermal buckling behavior of hybrid composite plates in cross-ply and angle-ply laminate are presented. The effects of eccentric cut-out size in different plate aspect ratios and boundary conditions on the thermal buckling behavior of the cross-ply and angle-ply laminated hybrid composite plates are also investigated. Finite element analysis is also performed to calculate thermal buckling temperatures for Kevlar/Epoxy, Boron/Epoxy and E-glass/Epoxy. Several outcomes and behavioral characteristics are discussed. These outcomes include the effects of cut-out size, shape, plate aspect ratio and boundary conditions.
Analysis and Controlling of Hopf Bifurcation for Chaotic Van Der Pol-Duffing System
Authors: Cai Ping , Tang Jia-Shi , Li Zhen-Bo
Published: June 2016

Analysis and controlling of bifurcation for a class of chaotic Van der Pol- Duffing system with multiple unknown parameters are conducted. The stability of the equilibrium of the system is studied by using Routh-Hurwitz criterion, and the critical value of Hopf bifurcation is investigated. Based on the center manifold theory and normal form reduction, the stability index of bifurcation solution is given. Linear and nonlinear washout filter feedback controllers are designed respectively to control the bifurcation critical value and the amplitude of the limit cycle. Numerical simulation results are presented to illustrate analytical results found.
New Exact Analytical Solutions for the General KdV Equation with Variable Coefficients
Authors: Hong Bao-Jian , Lu Dian-Chen
Published: June 2016

In this paper, a general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method and the extended auxiliary function method with computerized symbolic computation is proposed to construct more new exact solutions of a generalized KdV equation with variable coefficients. As a result, eight families of new generalized Jacobi elliptic function wave solutions and Weierstrass elliptic function solutions of the equation are obtained by using this method, some of these solutions are degenerated to soliton-like solutions, trigonometric function solutions in the limit cases when the modulus of the Jacobi elliptic functions m → 1 or 0, which shows that the general method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.
Decomposition Method for Solving a System of Third-Order Boundary Value Problems
Authors: Noor Muhammad , Noor Khalida , Waheed Asif
Published: June 2016

In this paper, we use the modified decomposition method for solving the system of third-order nonlinear boundary value problems associated with obstacle problems. Some examples of system of third-order nonlinear boundary value problems are given. The comparison of the results obtained by modified decomposition method with modified variation of parameters method is also given. Results are also shown graphically that demonstrate the nature of the obstacles in particular problems. The results are very encouraging indicating the reliability and efficiency of the technique.
Lacunary Statistical Convergence of Multiple Sequences in Intuitionistic Fuzzy Normed Spaces
Authors: Savaş Ekrem
Published: June 2016

In this paper we introduce the notion ideal statistical convergence and ideal lacunary statistical convergence of multiple sequences with respect to the intuitionistic fuzzy norm (μ, v), investigate their relationships, and make some observations about these classes.
A Difference-Index Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multiattribute Decision Making
Authors: Li Deng-Feng , Yang Jie
Published: June 2016

The order relation of fuzzy number is important in decision making and optimization modeling, and ranking fuzzy numbers is difficult in nature. Ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) is more difficult due to the fact that the TrIFNs are a generalization of the fuzzy numbers. The aim of this paper is to develop a new methodology for ranking TrIFNs. We define the value-index and ambiguity-index based on the value and ambiguity of the membership and non-membership functions, and then propose a difference-index based ranking method, which is applied to multiattribute decision making (MADM) problems. The proposed method is compared to show its advantages and applicability.
Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems
Authors: Taştekin Dilek , Yalçınbaş Salih
Published: June 2016

In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of first order boundary value problem. This technique is essentially based on the truncated Fermat series and its matrix representations with collocation points. Using the matrix method, we reduce the problem to a system of nonlinear algebraic equations. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results.
Visual and Computational Comparison of Functionals Used in Density Functional Theory
Authors: Flurchick K.
Published: June 2016

This work presents the visual and quantitative comparison of Density Functional Theory (DFT) exchange-correlation energy Exc functionals with Coupled Cluster with Single and Double excitations (CCSD) calculations (and experiment where possible). The Exc functional is an approximate term which is a component of the total energy of a molecule. This comparison is based on visualizing the differences of computed properties, such as the charge density, geometry and other molecular properties between the functional and a CCSD calculation. In this work, this visual comparison for a set of functionals using a set of small molecules is presented to elucidate the method. Specifically, this visual comparison of the local molecular properties includes the charge density and electron localization function and global molecular properties such as molecular geometry for each DFT functional compared with a CCSD calculation. Note, that the differences of the particular computed properties are computed visually.
Spinning Flow of Casson Fluid near an Infinite Rotating Disk
Authors: Khan Najeeb , Husain Zehra
Published: June 2016

This paper presents an investigation of the spinning flow of a non-Newtonian Casson fluid over a rotating disk. The model established for the governing problem in the form of partial differential equations has been converted to ordinary differential equations with the use of suitable similarity transformation. The analytical approximation has been made with the most likely analytical method, homotopy analysis method (HAM). The convergence region of the obtained solution is determined and plotted. The velocity profiles are shown and the influence of Casson parameter is discussed in detail. Also comparison has been made with the Newtonian fluid as the special case of considered problem.
Study on Water Seepage Law of Raw Coal During Loading Process
Authors: Junqing Meng , Baisheng Nie
Published: June 2016

In order to reveal the water seepage law of raw coal during different loading process, the gravity constant load seepage experimental system is developed and used in this paper. The water seepage law of raw coal during different loading process was tested. The mathematical model of axial strain-damage-permeability coefficient during the loading process is proposed based on the Wei-bull distribution of coal damage. According to the water seepage experiments and results analysis, the following conclusions are gotten. Under the same experimental conditions, with the increasing of axial pressure, the permeability coefficient of coal sample has a distinct decrease trend, and then an increase trend when reached the extreme point. The same trend of permeability coefficient-strain curves and stress-strain curve of the raw coal samples under different axial pressure are got-ten, that mean the permeability coefficient is closely related to the damage evolution process. The water seepage law of raw coal during different loading process can be described by the mathematical model of axial strain-damage-permeability coefficient, and its parameters can be obtained easily. This research is important for revealing the mechanism of coal seam water seepage, guiding field coal seam water infusion, controlling mine water hazard, preventing coal mine disasters.
Symmetry and Molecular Orbitals of C60
Authors: Koç Ramazan , Tütüncüler Hayriye , Küçükbursa Atalay
Published: June 2016

The symmetry and energy levels of icosahedral C60 are studied. Explicit matrix representations of the icosahedral group are constructed. Projection operators are obtained to simplify eigenvalue problem We summarize role of the group theory to specify energy levels of C60.
Investigation of NMR Relaxation Data Using Dipole Correlation Function
Authors: Yılmaz Ş. , Bozdemir S.
Published: June 2016

In this work, the theories of the relaxation mechanism leading to the dipole-correlation function, playing an important role in the analysis of the spin-lattice and spin-spin relaxation times in magnetic rezonance, are investigated. An evaluation of these theories is made in the light of the experimental data. It is found that the spin-lattice relaxation data of the glassy medium, particularly, do not obey much the single dipole correlation function of the form exp(-t/τ), obtained from the classical Debye relaxation theory of the polar molecules. On the other hand, it is observed that the data can be represented by the non-exponential correlation function driven from the cooperative relaxation models based on the spin-defect interactions. Furthermore, it is shown that the spin-spin relaxation time, obtained from the dipole-correlation function representing the relaxation of the one-dimensional Ising spins with nearest neighbor interactions, is in complete agreement with the experimental observations.
A Class of Cubic Trigonometric Automatic Interpolation Curves and Surfaces with Parameters
Authors: Li Juncheng
Published: June 2016

This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space {1, sint, cost, sin2t, sin3t, cos3t}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C2 and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determined by an energy optimization model. The corresponding interpolation surfaces have characteristics similar to the new curves.
Some Fixed Point Theorems in Hilbert Spaces
Authors: Popa Valeriu
Published: June 2016

Some general fixed points theorems in Hilbert spaces are proved which generalize the results from [1].
Neural Computing of the Bandwith of Resonant Rectangular Microstrip Antennas
Authors: Sağıroğlu Şeref , Güney Kerim , Erler Mehmet
Published: June 2016

A new method based on the backpropagation multilayered perceptron network for calculating the bandwidth of resonant rectangular microstrip patch antennas is presented The method can be used for a wide range of substrate thicknesses and permittivities, and is useful for the computer-aided design (CAD) of microstrip antennas. The results obtained by using this new method are in conformity with those reported elsewhere. This method may find wide applications in high-frequency printed antennas, especially at the millimeter-wave frequency range.
A Numerical Simulation of Melting of Ice Heated from above
Authors: Kahraman R. , Zughbi H. , Al-Nassar Y.
Published: June 2016

Melting of ice in a cubical enclosure partially heated from above was studied. Half of the upper surface was maintained at room temperature and the other half at 70°C. The ice cube was maintained at its melting point at the bottom. The other side surfaces were insulated. The process was first modeled by ignoring the effect of natural convection in the liquid phase. The resulting equations of conservation of energy were solved in each phase. The motion of melting front was governed by an energy balance at the interface. This conduction model was verified by applying it to a I-D phase change problem for which an analytical solution is available. Preliminary experiments conducted resulted in a progress of the phase front faster than that predicted by the conduction model and the interface was smoother due to strong effects of natural convection in the liquid phase, except for the initial start of melting The model was then extended to include convective heat transfer in such a way that the liquid phase was assumed to be a mixed body subjected to natural convection from the top surface and the liquid-solid interface. The flux at the interface was obtained by finding a heat transfer coefficient for natural convection with a cold plate facing upward. The predictions of this convection model agreed well with the experimental results.
A Comparison of Numerical ODE Solvers based on Euler Methods
Authors: İnç Mustafa , Bildik Necdet , Bulut Hasan
Published: June 2016

A class of nonlinear methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented. Numerical example involving stiff linear systems of first-order differential equations are given for test problem.
A Presentation Theorem of the Spherical Wave Functions
Authors: Kaya Meryem
Published: June 2016

Let \(\phi_{i}^{*}\) and \(\psi_{i} (i=0,1,...,n-1)\) are the solutions of the equations \(\boxdot^{2} - \frac{n-1}{r^{2}}\phi_{i}=0\) and \(\boxdot^{2} \psi_{i}=0\) respectively. In this paper it is shown that if \(u\) and \(v\) are satisfied by the equations \((\boxdot^{2} - \frac{n-1}{r^{2}})^{n} u = 0\) and \(\boxdot^{2n} v =0\) respectively then \(u\) and \(v\) have the representations \(u=\phi_{0}^{*} + t\phi_{1}^{*} + ... + t^{n-1}\phi_{n-1}^{*}\) and \(v = \psi_{0} + t\psi+{1} + ... + t^{n-1}\psi_{n-1}\) where \(\boxdot^{2} = \frac{1}{r^{n-1}}\frac{\partial}{\partial r} (r^{n-1} \frac{\partial}{\partial r}) - \frac{\partial^{2}}{\partial r^{2}}\).
Pediatric Nutritional Requirements Determination with Neural Networks
Authors: Karlık Bekir , Ece Aydın
Published: June 2016

To calculate daily nutritional requirements of children, a computer program has been developed based upon neural network. Three parameters, daily protein, energy and water requirements, were calculated through trained artificial neural networks using a database of 312 children The results were compared with those of calculated from dietary requirements tables of World Health Organisation. No significant difference was found between two calculations. In conclusion, a simple neural network may assist physicians in the determination of daily nutritional requirements.
Structural Forms and Energies of Nin, n=12-14, Clusters
Authors: Güvenç Ziya , Güvenç Dilek , Jellinek Julius
Published: June 2016

Equilibrium structural forms of the Nin, n=12-14, clusters, as defined by an embedded-atom potential, are obtained using molecular dynamics and thermal quenching simulations. The isomers (locally stable geometric forms) are distinguished from those stationary structures that correspond to saddle points of the potential energy surface. Isomer statistics are obtained using a large number of initial quenching configurations generated along high-energy trajectories (the energies are high enough to “melt” the clusters). Probabilities of sampling the basins of attraction of the different isomers are computed and the spectra of their energies are analyzed.
Advanced Signal Processing Techniques for Faulth Diagnostics-a Review
Authors: Engin Şeref , Gülez Kayhan , Badi M. N. M.
Published: June 2016

An overview of major signal processing and analysis methods finding an area of application in machinery fault diagnostics is presented. Among them Wavelet Transform, which has been gaining a special interest in many research and engineering fields, is emphasized with an example application based on numerically obtained vibration-time data representing various health conditions of a spur gear.
Stress Analysis in Adhesive-Butt Joints of Cylindrical Pressure Vessels
Authors: Günay Durmuş , Aydemir Alpay
Published: June 2016

In this study, the stress distributions in adhesive butt joints of cylindrical pressure vessels are analyzed by the finite element method using eight-node-quadrilateral axisymmetric finite elements. The structure consists of two cylindrical adherends bonded by an adhesive arid the joint is subjected to an internal pressure. Stress distributions and the effects of the adhesive thickness on the stress distributions in the joint are studied.
On Statistically Convergent Sequences of Fuzzy Numbers
Authors: Savaş Ekrem
Published: June 2016

In this paper, some equivalent alternative conditions are obtained for a sequence of fuzzy numbers to be statistically Cauchy.
Numerical Study of Collision Efficiency of Dust Particles
Authors: Adanur Sabit , Bakhtiyarov Sayavur
Published: June 2016

The collision efficiency of bound sand particles is studied numerically. The fourth-order Runge - Kutta method was used to solve two ordinary differential equations.
Solution of Boussinesq Problem using lie Symmetries
Authors: Özer Teoman
Published: June 2016

Firstly the Lie point symmetries of cylindrically symmetric homogeneous Nawier equations are obtained. Using the symmetries the general class of similarity solutions are found. The subclass that also satisfies the non-homogeneous system of the medium subject to a singular force is determined. Substituting the subclass into the non-homogeneous system, a system of ordinary differential equations is obtained. The solution of the system satisfying the boundary conditions of Bousssinesq problem gives the exact solution.
Free 2-Crossed Complexes of Simplicial Algebras
Authors: MUTLU Ali
Published: June 2016

Using free simplicial algebras, it is shown that a free or totally free 2-crossed module can be constructed on suitable construction data in [2]. In this paper 2-crsossed complexes and freeness conditions for 2-crossed complexes are introduced and similar freeness results for these are discussed.
On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space
Authors: YAYLI Yusuf
Published: June 2016

In this paper, we obtained the distribution parameter of a spacelike ruled surface generated by a spacelike straight line in Frenet trihedron moving along a spacelike curve. We show that the spacelike ruled surface is developable if and only if the base curve is a helix (inclined curve). Furthermore, some theorems are given for the special cases which the line is being tangent, the principal normal and binormal of the base curve.
On Approximate Symmetries of a Wave Equation with Quadratic Non-Linearity
Authors: Pakdemirli M. , Yürüsoy M.
Published: June 2016

Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic non-linearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of the symmetries are calculated. It is found that a given specific approximate solution is attainable only by using the new proposed method.
Connections and Minimizing Geodesics of Taxicab Geometry
Authors: Kocayusufoğlu İsmail , Özdamar Ertuğrul
Published: June 2016

The aim of this paper is to define the principle fibre bundle and connections and point out the minimizing geodesics of the taxicab geometry.
Thermal Stress Analysis in the Coated Upper Canine
Authors: Küçük Mümin
Published: June 2016

The aim of this study is to investigate the thermal stresses caused by temperature change on the upper canine coated by various dental materials. In this study, first of all the modeling of tooth has been done by using a specific computer program Ansys 5.3 that is capable of both finite element modeling and stress-strain analysis. Secondly, themal stresses arising from the temperature difference between the tooth temperature and the temperatures of the food and drinks taken to mouth have been examined. It has been demonstrated that the lowest thermal stresses occur in metal crowns, while the highest thermal stresses occur in metal- ceramic crowns. It has been shown that metal-ceramic crowns are more prone in terms of heat compared to metal crowns and that these crowns may deteriorate in time and may even become unusable.
Fredholm-Volterra Integral Equation with Potential Kernel
Authors: Abdou M. , El-Bary A.
Published: June 2016

A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω) × C(O, T), Ω = {(x, y) \(\in\) Ω : \(\sqrt{{x^2}+{y^2}}\) ≤ a, z = 0} and T < ∞. The kernel of the Fredholm integral term is considered in the generalized potential form belongs to the class C ([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function belongs to the class C[0,T). Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established from the wok.
On the Integral Invariants of a Time-Like Ruled Surface
Authors: Özyılmaz E. , Yaylı Y.
Published: June 2016

In this study, we discuss the dual Lorentzian spherical motions and calculate the real integral invariants of a closed time-like ruled surfaces in \(R_1^3\). Then, we define the dual angle of pitch of a closed time-like ruled surface, and give a relation between the dual Steiner vector of the dual spherical motion and dual angle of pitch of the time­like ruled surface. Finally, we obtain a relation between the dual angle of pitch and the real integral invariants of time-like ruled surface.
Linear Transverse Vibrations of a Simply Supported Beam Carrying Concentrated Masses
Authors: Özkaya E.
Published: June 2016

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Possibilistic Data Envelopment Analysis
Authors: Alp Ihsan
Published: June 2016

Data of problems in real world, fuzziness/impreciseness/absence appears due to various reasons very often. In such cases, difficulty in model building can be overcome by using fuzzy set theory and concepts. In this study, only situation of data lacking will be considered, Data envelopment analysis cannotbe used in the absence of one or more data in: model. If those absent datum or data can be supplied with possibilistic membership function, the problem is solved. In this study, a suggestion will be given about how to apply data envelopment analysis with the assistance of possibilistic membership function in real world problem with lacking data. Model problem has been chosen in the banking sector, which is a very popular area.
Some Solutions for an Equation of Order of 4p
Authors: Altın Abdullah , Erençin Ayşegül
Published: June 2016

We obtain all solutions which depend only on r for a singular partial differential equation of order 4p. Here, the operator includes Laplacian and GASPT (Generalized Axially Symmetric Potential Theory) operator.
Numerical Solution of Fuzzy Differential Equation
Authors: Abbasbandy S. , Viranloo T.
Published: June 2016

In this paper numerical algorithms for solving fuzzy ordinary differential equations are considered. A scheme based on the 2nd Taylor method in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy cauchy problems.
Analysis of Time-Course of the Recovery from Inactivation of Ionic Currents in Cerebellar Punkinje Cell
Authors: Özer Mahmut
Published: June 2016

In this study, time-course of the recovery from the inactivation of ionic currents which have inactivation in cerebellar Purkinje cell is examined. Kinetics of the ionic currents are expressed with Hodgkin-Huxley equations. Peak value function of the recovering conductance is given explicitly, the curve of recovery and its approximation are obtained. It's shown that recovering conductance of ionic currents which are studied is asymptotically exponential.
Artificial Neural Networks in Robot Control Systems: A Survey Paper
Authors: Yıldınm Ş. , Sağıroğlu Ş.
Published: June 2016

This paper presents an overview on applications of artificial neural networks (ANNs) to robot control systems and outlines the contributions of ANNs. Adaptive neurocontrol architectures are introduced and compared to traditional adaptive control methods.
On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings
Authors: Salahuddin Hanif
Published: June 2016

In this paper, we consider the generalized nonlinear quasi-variational inequalities problem for set-valued mappings and construct an iterative algorithm for find the approximate solution of this problem by exploiting the projection method and prove the existence of the solution to our problem involving relaxed Lipschitz and relaxed monotone mappings and the convergence of the iterative sequences generated by this algorithm.
General Nonlinear Mixed Variational-Like Inequality Problem Involving Relaxed Lipschitz Operators
Authors: Salahuddin Hanif
Published: June 2016

In this article, we use the auxiliary principle technique to prove the existence, uniqueness theorem of solutions for the general nonlinear mixed variational-like inequality and special cases, which can be obtained from our main result are also discussed.
Effect of Plate Spacing of Impingement Air Jet on Flow and Heat Transfer Characteristics
Authors: Kopaç Mehmet
Published: June 2016

In this paper the flow and heat transfer characteristics in the turbulent confinement impinging air jet have been numerically analyzed. Two-equation turbulence model, κ-ε, have been used. Mass, momentum, energy, turbulent kinetic energy and turbulent kinetic energy dissipation rate equations were solved by the PHOENICS package program. Velocity, turbulent kinetic energy, turbulent kinetic energy dissipation rate and heat transfer characteristics in the impinging region have been predicted by finite volume scheme for the various plate spacings.
The Harnack Inequalities for Nonnegative Solutions of an Elliptic and Ultra-Hyperbolic Equation
Authors: Özalp Nuri , Taşdelen Fatma
Published: June 2016

In this study, in means of the Harnack inequalities of the harmonic functions, some Harnack type inequalities are given for the solutions of GASPT equation with singular coefficients and for two expanded equations of it.
Two Strips Problem Resting on an Elastic Foundation
Authors: Birinci Ahmet , Çakıroğlu Mehmet , Erdöl Ragıp
Published: June 2016

In this paper, a layered composite made of two materials with different elastic constants and heights resting on an elastic foundation is studied according to theory of Elasticity. Symmetrical distributed load whose length is 2a is applied to the upper elastic layer. Gravity forces of the layered composite are neglected. The components of the stresses and displacements at a point located in the layered composite are obtained by using Integral Transform technique. Singular terms are subtracted from expressions of the stresses and their closed integral forms are added. The stresses and the displacements in any point of the layered composite are investigated and their graphics are plotted.
Effect of Shaft Elasticity on the Performance of Slip Energy Recovery Drives
Authors: Basurrah Salva , Akbaba Mehmet
Published: June 2016

All rotating shafts, even in the absence of external load, deflect during rotation. The magnitude of the deflection depends upon the stiffness of the shaft, its supports and also upon the load level. In this paper, a complete study of the effect of shaft elasticity or stiffness coefficient on the performance of a slip energy recovery drive (SERD) has been presented. The elastic shaft model is derived through the use of Lagrange formulation and it is incorporated into the slip SERD model. A computer program is developed to analyze the complete performance of the drive including the effect of shaft elasticity. A load torque that is a quadratic function of the shaft speed is assumed throughout the analysis. Numerous computer simulations were carried out to illustrate the performance of the SERD with elastic transmission for different stiffness coefficients of the shaft material, taking into account the effects of changing the modulus of elasticity and shaft dimensions.
Goursat Problem for the Factorizable Hyperbolic Equation in Two Independent Variables
Authors: Johnpillai I. , Mahomed F.
Published: June 2016

For the scalar linear hyperbolic partial differential equations (PDEs) in two independent variables to be factorizable, the Laplace invariants h or k must be zero. In this paper, we find the Riemann function for the Goursat problem using the Lie group theoretical method where the hyperbolic . equation involved is factorized. What emerges is that the ordinary differential equation (ODE) whose solution gives the Riemann function for the Goursat problem is factorizable. Finally, an example is given as application of the methods
Phase-Plane Analysis for a Simplified Model of Purkinje Cell Dendrite
Authors: Ozer Mahmut
Published: June 2016

In this study, phase-plane analysis is carried out for a simplified model of Purkinje cell dendrite in term.s of voltage-gated ionic channels involved. State variables, nuliclines and equilibrium points of the model are determined, and effects of ionic channel conductance and injected current on the shape of nuliclines and the equilibrium points are investigated.
Stress Intensity Factors for a Ring-Shaped Crack in a Transversely Isotropic Thick Layer
Authors: Ataberk Necati , Uyaner Mesut , Avci Ahmet
Published: June 2016

The problem of a ring-shaped crack in an infinitely long thick layer was considered in this study. The problem was formulated for a transversely isotropic material by using integral transform technique under uniform load. Due to the geometry of the configuration, Hankel integral transform technique was chosen and the problem was reduced to a singular integral equation. This integral equation was solved numerically by using Gaussian Quadrature Formulae and the values were evaluated for discrete points. Stress intensity factors were obtained by using these values. They were tabulated for various ring−haped crack sizes and transversely isotropic materials.
Recovering Images from Traveltime Data
Authors: Üstündağ Dursun , Özbaşaran Ersen
Published: June 2016

We study here a mathematical problem of retrieving slowness (reciprocal of velocity) distribution of a medium from a set of the measured first arrivals traveltimes data between source?sand receivers within the medium.
On the Semicontinuity Properties of the Attainable Sets of Control Systems with Controls in Lp
Authors: Guseinov Kh. , Ozer Orhan , Akyar Emrah
Published: June 2016

In this article the properties of attainable sets of control systems with integral constraints on control are studied. The admissible control functions are chosen from the ball centered at the origin and of radius μ0 in Lp, p > 1 It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to p.
Optimal Systems and Invariant Solutions for a Class of Soil Water Equations
Authors: Khalique C.
Published: June 2016

We construct an optimal system of one-dimensional subalgebras for a class of soil water equations and then use it to obtain an optimal system of two-dimensional subalgebras. We also present a few group-invariant solutions of rank one corresponding to an optimal system of two-dimensional subalgebras.
Asymptotic Evaluation of the Edge Diffraction in Cylindric Paraboloidal Reflector Antennas
Authors: Umul Yusuf , Yalçin Uğur
Published: June 2016

Diffraction fields on the edge of a cylindrical parabolic reflector antenna are examined. Firstly canonical problem is defined for the edge of the antenna and study is reduced to a half plane scattering problem. Coordinate system is defined as the origin being the edge of the reflector, so the feed became offset. Space is divided into two parts according to p and edge diffracted fields are calculated for the region where ρ ≤ ρ0. Obtained poorly divergent series are changed into complex integrals for k→∞ and these integrals are solved in the same conditions. Uniform expression of edge diffracted field is calculated by using Fresnel integrals.
Vibrations of a Simply Supported Beam with a Non–Ideal Support at an Intermediate Point
Authors: Pakdemirli M. , Boyaci H.
Published: June 2016

A simply supported Euler-Bernoulli beam with an intermediate support is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. Approximate analytical solution of the problem is found using the Method of Multiple Scales, a perturbation techniques. Ideal and non-ideal frequency response curves are contrasted.
A Windows-Based Digital Filter Design
Authors: Özbay Yüksel , Karlik Bekir , Kavsaoglu A.
Published: June 2016

This study aims to describe a general digital filter, practically for Windows’ users. For this purpose. an I/O interfacing circuits base on PIC16F877 was designed to receive analog signal into the PC and return filtered signals. This I/O module was then communicated with PC using parallel port protocol with EPP mode, and a digital filter program was introduced using C++. Various filters; such as LPF, HPF, BPF, and BSF were designed using the method of frequency transformation on normalized Butterworth and Chebyshev analog filters. The grades of the designed filters range from n=1 to n=8. Using this application the proposed windows-based digital filter design worked better and faster.
A Different Method Determining Dielectric Constant of Soil and Its FDTD Simulation
Authors: Yaldiz Ercan , Bayrak Mehmet
Published: June 2016

In this study, a different method determining the dielectric constant of soil via probes is presented. The method is based on the principle of measuring pulse delay in a given matter. The experimental study, which was carried out basically using an HP8753A vector network analyser, was repeated for various soil mixtures having different values of wetness. The results obtained from the measurements have clearly shown that the dielectric constant of the soil was increasing almost proportionally with that of the moisture content in the soil. The suitability of the measuring method was also checked with a number of simulation results obtained directly using the finite difference time domain method (FDTD).
Application of FFT and Arma Spectral Analysis to Arterial Doppler Signals
Authors: Übeyli Elif , Işık Hakan , Güler İnan
Published: June 2016

In this study, Doppler signals recorded from arteries of 105 subjects were processed by PC-computer using fast Fourier transform, and least squares modified Yule-Walker autoregressive moving average methods. By using these spectrum analysis techniques, the variations in the shape of the Doppler spectrums as a function of time were presented in the form of sonograms in order to obtain medical information. These sonograms were then used to compare the applied methods in terms of their frequency resolution and the effects in determination of stenosis and occlusion in arteries. Reliable information on hemodynamic alterations in arteries can be obtained by evaluation of these sonograms.
Aspects of the Gurson Model and Its Applications
Authors: Özer Halil , Günay Durmuş
Published: June 2016

Ductile fracture in metals can involve the generation of considerable porosity caused by nucleation, growth and coalescence of microvoids. This process takes place on micro-level and can not describe by traditional constitutive laws such as von Mises theory. Hence, A. L. Gurson developed a theory which takes account of void growth and showed the role of hydrostatic stress in plastic yield and void growth. In this model the void volume fraction f (the portion of void in the material) is the single damage parameter; its evolution is defined by the incompressibility of the matrix material. (For Lameitre's model the damage variable D is relevant.) To model the material damage by using the Gurson damage approach a series of single elements including different types of loading are used. In the single element cases the results of the Gurson model and von Mises are also compared. In calculations the MARC finite elements software is used to calculate stress, strains and f the void volume fraction.
Elastic-Plastic Stress Analysis of Thermoplastic Matrix Laminated Composite Beams
Authors: Çallioğlu Hasan , Sman Köksal N. , Ataberk Necati , Kaynak İdris
Published: June 2016

This study deals with an elastic-plastic behavior of woven steel fibers reinforced thermoplastic matrix laminated composite beam subjected to a bending moment. The beam consists of symmetric four orthotropic layers and its material is assumed to be strain hardening. The Tsai-Hill theory is used as a yield criterion in the solution. The Bernoulli-Euler hypotheses are utilized for small plastic deformations. The beam lay-up sequences are chosen as [0°]4, [15°/-15°]s, [30°/-30°]s and [45°/-45°]s. The bending moment values that begin plastic flow at the upper and lower surfaces of the beam are carried out for various stacking sequences. The variations of the elastic, elastic-plastic and residual stress components versus increasing plastic region spread are given in tables and figures. The transverse displacement is obtained at the free end, numerically.
Chebyshev Collocation Method for Solving Linear Differential Equations
Authors: Dolapçi İhsan
Published: June 2016

A matrix method, which is called the Chebyshev-matrix method, for the approximate solution of linear differential equations in term of Chebyshev collocations is presented. The method is based on first taking the truncated Chebyshev series of the functions in equation and then substituting their matrix forms into the given equation. Thereby the equation reduces to a matrix equation, which corresponds to a system of linear algebraic equations with unknown Chebyshev coefficients. To illustrate the method, it is applied to certain linear differential equation under the given conditions and the results are compared.
A Formulation of Peaceman and Rachford ADI Method for the Three-Dimensional Heat Diffusion Equation
Authors: Ismail I. A. , Zahran E. H. , Shehata M.
Published: June 2016

A formulation of an alternating direction implicit (ADI) method is given by extending peaceman and Rachford Scheme to three dimensions. The scheme becomes conditionally stable. The von Neumann stability analysis is performed. Numerical results for solving heat diffusion equation have been obtained for different specified boundary value problems to obtain a simple explicit stability.
Extrapolation Method for Improving the Solution of Fuzzy Initial Value Problems
Authors: Abbasbandy S. , Viranloo T.
Published: June 2016

In this paper we apply extrapolation to increase the accuracy of approximations to the solution of the fuzzy initial value problems, based on the standard Euler method and Midpoint method, [11]. The method in detail is discussed and is illustrated by solving sme linear and nonlinear fuzzy Cauchy problems.
Linear Forced In-Plane and Out-of Plane Vibrations of Frames Having a Curved Member
Authors: Özyiğit H. A. , Öz H. R. , Tekelioğlu M.
Published: June 2016

The forced, in-plane and out-of-plane vibrations of frames comprised of straight and curved members are investigated using Finite Element Methods. The straight and curved beams are assumed as Euler-Bernoulli type and they have circular cross-sections. The frame lies in a single plane. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations and three degrees of freedom for out-of-plane vibrations are assumed. The in-plane and out-of-plane point and transfer receptances are obtained in order to determine the sensitive and non-sensitive frequency interval of the frame system.
A Cubic B-Spline Collocation Method for the EW Equation
Authors: Dağ İdris , Saka Bülient
Published: June 2016

A numerical solution of the Equal Width (EW) equation based on a collocation method incorporated cubic B-splines is investigated. Accuracy of the proposed method is shown numerically by calculating conservation laws, L2 and L∞ norms on studying migration of a single solitary wave. It is shown that the collocation scheme for solutions of the EW equation gives rise to smaller errors and is quite easy to implement. The development of the undular bore and generation of the waves are studied for the EW equation. The linearized stability of the proposed method is derived by using Von Neumann stability analysis.
Effects of the Weld Electrode on the Fracture Behavior of Welded Steel Beam-to-Column Joints
Authors: Kiral Binnur
Published: June 2016

Crack-like defect occurs in the weld region or heat-affected-zone of beam-to-column connections widely. They may cause unexpected serious damage in the steel welded buildings. Most of these place at the connection where the column flange meets the beam bottom flange. The assessment of these defects is entirely related to the reliability of the whole structure. In this study, the fracture behavior of the welded steel structure including the defects subjected to loading has been investigated, and the conditions free from brittle fracture hive been tried to carried out using the SINTAP Defect Assessment Procedure. The effects of the weld electrodes on the fracture behavior of the structure have been observed.
Design, Synthesis and Antifungal Activity of Novel Benzofuran-Triazole Hybrids
Authors: Liang Zhen , Xu Hang , Tian Ye , Guo Mengbi , Su Xin , Guo Chun
Published: June 2016

A series of novel benzofuran-triazole hybrids was designed and synthesized by click chemistry, and their structures were characterized by HRMS, FTIR and NMR. The in vitro antifungal activity of target compounds was evaluated using the microdilution broth method against five strains of pathogenic fungi. The result indicated that the target compounds exhibited moderate to satisfactory activity. Furthermore, molecular docking was performed to investigate the binding affinities and interaction modes between the target compound and N-myristoyltransferase. Based on the results, preliminary structure activity relationships (SARs) were summarized to serve as a foundation for further investigation.
Selective Plasma Etching of Polymeric Substrates for Advanced Applications
Authors: Puliyalil Harinarayanan , Cvelbar Uroš
Published: June 2016

In today’s nanoworld, there is a strong need to manipulate and process materials on an atom-by-atom scale with new tools such as reactive plasma, which in some states enables high selectivity of interaction between plasma species and materials. These interactions first involve preferential interactions with precise bonds in materials and later cause etching. This typically occurs based on material stability, which leads to preferential etching of one material over other. This process is especially interesting for polymeric substrates with increasing complexity and a “zoo” of bonds, which are used in numerous applications. In this comprehensive summary, we encompass the complete selective etching of polymers and polymer matrix micro-/nanocomposites with plasma and unravel the mechanisms behind the scenes, which ultimately leads to the enhancement of surface properties and device performance.
A Flexible 360-Degree Thermal Sound Source Based on Laser Induced Graphene
Authors: Tao Lu-Qi , Liu Ying , Ju Zhen-Yi , Tian He , Xie Qian-Yi , Yang Yi , Ren Tian-Ling
Published: June 2016

A flexible sound source is essential in a whole flexible system. It’s hard to integrate a conventional sound source based on a piezoelectric part into a whole flexible system. Moreover, the sound pressure from the back side of a sound source is usually weaker than that from the front side. With the help of direct laser writing (DLW) technology, the fabrication of a flexible 360-degree thermal sound source becomes possible. A 650-nm low-power laser was used to reduce the graphene oxide (GO). The stripped laser induced graphene thermal sound source was then attached to the surface of a cylindrical bottle so that it could emit sound in a 360-degree direction. The sound pressure level and directivity of the sound source were tested, and the results were in good agreement with the theoretical results. Because of its 360-degree sound field, high flexibility, high efficiency, low cost, and good reliability, the 360-degree thermal acoustic sound source will be widely applied in consumer electronics, multi-media systems, and ultrasonic detection and imaging.