IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics: Proceedings of the IUTAM Symposium held in Madras, Chennai, India 4–8 January 1999 (Solid Mechanics and Its Applications (85))

Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos. Front Matter....Pages i-xviii Higher Order Averaging Method of Coefficients in Fokker-Planck Equation....Pages 1-14 Recent Progress in Stochastic Bifurcation Theory....Pages 15-27 Non-Resonant and Resonant Chaotic Dynamics in Externally Excited Cyclic Systems....Pages 29-41 Simulation of Non-Gaussian Stochastic Processes with Nonlinear Filters....Pages 43-54 Stochastic Nonlinear Controllers....Pages 55-69 Vector Fields and Maps....Pages 71-76 Generalized Fourier Analysis for Stochastic Stability Problems....Pages 77-94 Reliability Analysis of Structures Subjected to Dynamic Loadings Using Nonlinear Sfem....Pages 95-106 Application of Conditional Linearization in the Study of Nonlinear Systems....Pages 107-118 Finding Response Cumulants for Nonlinear Systems With Multiplicative Excitations....Pages 119-132 Nonlinear Dynamics of Beams with Stochastic Parameter Variations....Pages 133-145 Numerical Solution of the Stationary FPK Equation for A Nonlinear Oscillator....Pages 147-158 Path Integration Methods for Calculating Response Statistics of Nonlinear Oscillators Driven by α-Stable Lévy Noise....Pages 159-169 Control of Chaos in Nonlinear Systems Subjected to Parametric and Stochastic Excitations....Pages 171-184 Stochastic Stability of Lateral-Torsional Motion of Slender Bridges Under Turbulent Wind....Pages 185-196 Influence of Stochastic Effects on Flow Induced Vibrations in Tube Bundles....Pages 197-208 A Passive Hopper With Lossless Collisions....Pages 209-220 Response of Non-Linear Oscillators to Non-White Random Excitation Using an Energy Based Method....Pages 221-231 Application of Bifurcation Theory to the Identification of the Constitutive Relations for Sliding Friction....Pages 233-248 Bounds on Sample Paths of Stochastic Nonlinear Systems — A Lyapunov Function Approach....Pages 249-260 Parameter Identification of Nonlinear Multibody Systems Using Correlation Techniques....Pages 261-270 Numerical Solution of the Four-Dimensional Nonstationary Fokker-Planck Equation....Pages 271-287 System Identification of Hysteretic Structures....Pages 289-306 Stochastic Stability and Bifurcation of Quasi-Hamiltonian Systems....Pages 307-318 Erratum....Pages 333-333 Back Matter....Pages 319-331