Iutam Symposium on Nonlinearity and Stochastic Structural Dynamics

by Narayanan, S.; Iyengar, R. N.

• ISBN13: 9780792367338
• ISBN10: 0792367332
• Format: Hardcover
• Copyright: 2000-12-01
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Preface	ix
Welcome Address of the President of IUTAM	xi
Inaugural Address	xv
Higher order Averaging Method of Coefficients in Fokker-Planck Equation	1	(14)
N.D. Anh
N.D. Tinh
Recent Progress in Stochastic Bifurcation Theory	15	(14)
L. Arnold
Non-Resonant and Resonant Chaotic Dynamics in Externally Excited Cyclic Systems	29	(14)
A. K. Bajaj
S. Samaranayake
Simulation of Non-Gaussian Stochastic Processes with Nonlinear Filters	43	(12)
G.Q. Cai
Y.K. Lin
Stochastic Nonlinear Controllers	55	(16)
F. Casciati
L. Faravelli
Vector Fields and Maps --- A Perturbation Approach	71	(6)
H. G. Davies
K. Karagiozis
Generalized Fourier Analysis for Stochastic Stability Problems	77	(18)
R. Griesbaum
W. Wedig
Reliability Analysis of Structures subjected to Dynamic Loadings using Nonlinear SFEM	95	(12)
A. Haldar
J. Huh
Application of Conditional Linearization in the Study of Nonlinear Systems	107	(12)
R.N. Iyengar
D. Roy
Finding Response Cumulants for Nonlinear Systems with Multiplicative Excitations	119	(14)
L.D. Lutes
C. Papadimitriou
Nonlinear Dynamics of Beams with Stochastic Parameter Variations	133	(14)
C.S. Manohar
S. Gupta
Numerical Solution of the Stationary FPK Equation for a Nonlinear Oscillator	147	(12)
S. McWilliam
Path Integration Methods for Calculating Response Statistics of Nonlinear Oscillators driven by α-Stable Levy Noise	159	(12)
A Naess
C. Skaug
Control of Chaos in Nonlinear Systems subjected to Parametric and Stochastic Excitations	171	(14)
S. Narayanan
M. Ramesh
Stochastic Stability of Lateral --- Torsional Motion of Slender Bridges under Turbulent Wind	185	(12)
M. D. Pandey
S.T. Ariaratnam
Influence of Stochastic Effects on Flow Induced Vibrations in Tube Bundles	197	(12)
K. Popp
O. Romberg
A Passive Hopper with Lossless Collisions	209	(12)
C.K. Reddy
R. Pratap
Response of Nonlinear Oscillators to Non-White Random Excitation using an Energy Based Method	221	(12)
J.B. Roberts
M. Vasta
Application of Bifurcation Theory to the Identification of the Constitutive Relations for Sliding Friction	233	(16)
A.R. Savkoor
J. P. Meijaard
Bounds on Sample Paths of Stochastic Nonlinear Systems --- A Lyapunov Function Approach	249	(12)
K.R. Schenk-Hoppe
Parameter Identification of Nonlinear Multibody Systems using Correlation Techniques	261	(10)
W. Schiehlen
B. Hu
Numerical Solution of the Four-Dimensional Nonstationary Fokker-Plank Equation	271	(18)
S.F. Wojtkiewicz
L.A. Bergman
B.F. Spencer
E.A. Johnson
System Identification of Hysteretic Structures	289	(18)
H. Zhang
P. Paevere
Y. Yang
G.C. Foliente
F. Ma
Stochastic Stability and Bifurcation of Quasi-Hamiltonian Systems	307	(12)
W.Q. Zhu
Z.L. Huang
List of Participants	319