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.

Inhalt

Higher order Averaging Method of Coefficients in Fokker-Planck Equation; N.D. Anh, N.D. Tinh. Recent Progress in Stochastic Bifurcation Theory; L. Arnold. Non-Resonant, Resonant Chaotic Dynamics in Externally Excited Cyclic Systems; A.K. Bajaj, S. Samaranayake. Simulation of Non-Gaussian Stochastic Processes with Nonlinear Filters; G.Q. Cai, Y.K. Lin. Stochastic Nonlinear Controllers; F. Casciati, L. Faravelli. Vector Fields and Maps - A Perturbation Approach; H.G. Davies, K. Karagiozis. Generalized Fourier Analysis for Stochastic Stability Problems; R. Griesbaum, W. Wedig. Reliability Analysis of Structures subjected to Dynamic Loadings using Nonlinear SFEM; A. Haldar, J. Huh. Application of Conditional Linearization in the Study of Nonlinear Systems; R.N. Iyengar, D. Roy. Finding Response Cumulants for Nonlinear Systems with Multiplicative Excitations; L.D. Lutes and. C. Papadimitriou. Nonlinear Dynamics of Beams with Stochastic Parameter Variations; C.S. Manohar, S. Gupta. Numerical Solution of the Stationary FPK Equation for a Nonlinear Oscillator; S. McWilliam. Path Integration Methods for Calculating Response Statistics of Nonlinear Oscillators driven by alpha-Stable Lévy Noise; A. Naess, C. Skaug. Control of Chaos in Nonlinear Systems subjected to Parametric and Stochastic Excitations; S. Narayanan, M. Ramesh. Stochastic Stability of Lateral - Torsional Motion of Slender Bridges under Turbulent Wind; M.D. Pandey, S.T. Ariaratnam. Influence of Stochastic Effects on Flow Induced Vibrations in Tube Bundles; K. Popp, O. Romberg. A Passive Hopper with Lossless Collisions; C.K. Reddy, R. Pratap. Response of Nonlinear Oscillators to Non-White Random Exciation using an Energy Based Method; J.B. Roberts, M. Vasta. Application ofBifurcation Theory to the Identification of the Constitutive Relations for Sliding Friction; A.R. Savkoor, J.P. Meijaard. Bounds on Sample Paths of Stochastic Nonlinear Systems - A Lyapunov Function Approach; K.R. Schenk-Hoppé. Parameter Identification of Nonlinear Multibody Systems using Correlation Techniques; W. Schiehlen, B. Hu. Numerical Solution of the Four-Dirnensional Nonstationary Fokker-Plank Equation; S.F. Wojtkiewicz, et al. System Identification of Hysteretic Structures; W.Q. Zhu, Z.L. Huang.