IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties : proceedings of the IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties held in St. Petersburg, Russia, July 5-9, 2009 / monograph

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. Front Matter....Pages I-XVIII Front Matter....Pages 1-1 Linear Bounds on an Uncertain Non-Linear Oscillator: An Info-Gap Approach....Pages 3-14 Quantification of uncertain and variable model parameters in non-deterministic analysis....Pages 15-28 Vibrations of layered structures with fuzzy core stiffness/fuzzy interlayer slip....Pages 29-42 Vibration Analysis of Fluid-Filled Piping Systems with Epistemic Uncertainties....Pages 43-56 Fuzzy vibration analysis and optimization of engineering structures: Application to Demeter satellite....Pages 57-69 Numerical dynamic analysis of uncertain mechanical structures based on interval fields....Pages 71-83 From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interval and p-Box Uncertainty....Pages 85-98 Dynamic Steady-State Analysis of Structures under Uncertain Harmonic Loads via Semidefinite Program....Pages 99-112 Front Matter....Pages 113-113 Universal eigenvalue statistics and vibration response prediction....Pages 115-127 Statistical Energy Analysis and the second principle of thermodynamics....Pages 129-139 Modeling noise and vibration transmission in complex systems....Pages 141-156 A Power Absorbing Matrix for the Hybrid FEA-SEA Method....Pages 157-169 The Energy Finite Element Method NoiseFEM....Pages 171-185 Wave transport in complex vibro-acoustic structures in the high-frequency limit....Pages 187-200 Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media....Pages 201-214 Minimum-variance-response and irreversible energy confinement....Pages 215-228 High-frequency vibrational power flows in randomly heterogeneous coupled structures....Pages 229-242 Uncertainty propagation in SEA using sensitivity analysis and Design of Experiments....Pages 243-254 Phase reconstruction for time-domain analysis of uncertain structures....Pages 255-267 Front Matter....Pages 269-269 Uncertain Linear Systems in Dynamics: Stochastic Approaches....Pages 271-286 Front Matter....Pages 269-269 Time domain analysis of structures with stochastic material properties....Pages 287-299 Vibration Analysis of an Ensemble of Structures using an Exact Theory of Stochastic Linear Systems....Pages 301-315 Structural Uncertainty Identification using Vibration Mode Shape Information....Pages 317-329 Extremely strong convergence of eigenvalue-density of linear stochastic dynamical systems....Pages 331-345 Stochastic subspace projection schemes for dynamic analysis of uncertain systems....Pages 347-360 Front Matter....Pages 361-361 Reliability Assessment of Uncertain Linear Systems in Structural Dynamics....Pages 363-378 On semi-statistical method of numerical solution of integral equations and its applications....Pages 379-388 An efficient model of drill-string dynamics with localised non-linearities....Pages 389-402 Equivalent thermo-mechanical parameters for perfect crystals....Pages 403-416 Analysis of offshore systems in random waves....Pages 417-427 Statistical Dynamics of the Rolling Mills....Pages 429-442 The application of robust design strategies on managing the uncertainty and variability issues of the blade mistuning vibration problem....Pages 443-456 Localized modeling of uncertainty in the Arlequin framework....Pages 457-468