IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties [electronic resource] : Proceedings of the IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties held in St. Petersburg, Russia, July 5-9, 2009 /
Belyaev, Alexander K.editor.(orcid)0000-0002-5934-8138https://orcid.org/0000-0002-5934-8138edt
Langley, Robin S.editor.
The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensive solution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.
Description based upon print version of record.
Preface; Contents; Non-probabilistic and related approaches; Linear Bounds on an Uncertain Non-Linear Oscillator: An Info-Gap Approach; Quantification of uncertain and variable model parameters in non-deterministic analysis; Vibrations of layered structures with fuzzy core stiffness/fuzzy interlayer slip; Vibration Analysis of Fluid-Filled Piping Systems with Epistemic Uncertainties; Fuzzy vibration analysis and optimization of engineering structures: Application to Demeter satellite; Numerical dynamic analysis of uncertain mechanical structures based on interval fields
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interval and p-Box UncertaintyDynamic Steady-State Analysis of Structures under Uncertain Harmonic Loads via Semidefinite Program; SEA related methods and wave propagation; Universal eigenvalue statistics and vibration response prediction; Statistical Energy Analysis and the second principle of thermodynamics; Modeling noise and vibration transmission in complex systems; A Power Absorbing Matrix for the Hybrid FEA-SEA Method; The Energy Finite Element Method NoiseFEM
Wave transport in complex vibro-acoustic structures in the high-frequency limitBenchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media; Minimum-variance-response and irreversible energy confinement; High-frequency vibrational power flows in randomly heterogeneous coupled structures; Uncertainty propagation in SEA using sensitivity analysis and Design of Experiments; Phase reconstruction for time-domain analysis of uncertain structures; Probabilistic Methods; Uncertain Linear Systems in Dynamics: Stochastic Approaches
Time domain analysis of structures with stochastic material propertiesVibration Analysis of an Ensemble of Structures using an Exact Theory of Stochastic Linear Systems; Structural Uncertainty Identification using Vibration Mode Shape Information; Extremely strong convergence of eigenvalue-density of linear stochastic dynamical systems; Stochastic subspace projection schemes for dynamic analysis of uncertain systems; Probabilistic Methods, Applications; Reliability Assessment of Uncertain Linear Systems in Structural Dynamics
On semi-statistical method of numerical solution of integral equations and its applicationsAn efficient model of drill-string dynamics with localised non-linearities; Equivalent thermo-mechanical parameters for perfect crystals; Analysis of offshore systems in random waves; Statistical Dynamics of the Rolling Mills; The application of robust design strategies on managing the uncertainty and variability issues of the blade mistuning vibration problem; Localized modeling of uncertainty in the Arlequin framework
Includes bibliographical references.
The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensive solution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.
Vibration.
Dynamical systems.
Dynamics.
Mechanics.
Mechanics, Applied.
Statistics .
Applied mathematics.
Engineering mathematics.
Vibration, Dynamical Systems, Control.
Solid Mechanics.
Solid Mechanics.
Statistical Theory and Methods.
Mathematical and Computational Engineering.
IUTAM Bookseries (closed)