Parametric Instability and Process Identification
The topic of parametric instability and process identification is treated in two papers as follows. 1. Stability of Parametric Systems 2. Parameter Identification of Road Spectra and Nonlinear Oscillators
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ANALYSIS AND ESTIMATION OF STOCHASTIC MECHANICA L SYSTEMS
EDITED BY
W. SCHIEHLEN UNIVERSITY OF STUTIGART
W. WEDIG UNIVERSITY OF KARLSRUHE
SPRINGER-VERLAG WIEN GMBH
Le spese di stampa di questo volume sono in parte coperte da contributi del Consiglio Nazionale delle Ricerche.
This volume contains 36 illustrations.
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
© 1988 by Springer-Verlag Wien Originally published by Springer Verlag Wien-New York in 1988
ISBN 978-3-211-82058-2 DOI 10.1007/978-3-7091-2820-6
ISBN 978-3-7091-2820-6 (eBook)
PREFACE
Stochastic models and their analysis have reached a high amount of interest and research activities. In engineering environments, turbulent perturbations ofmechanical systems cannot be excluded and they affect their dynamical behavior with increasing intensity. However, the hierarchy ofsecond and higher moments time correlations and spectral densities are the tools to simplify the modelling and to summarize the complex analysis and simulation in nonlinear dynamics. Modern stochastic concepts are based on the theory of diffusion processes, Itocalculus and stochastic differential equations leading to efficient matrix methods for linear time-invariant systems. For nonlinear systems and stability problems there is an ongoing research and increasing interest. The present volume contains the lectures and the tutorials presented during a course at the International Centre for Mechanical Sciences in Udine, in summer 1987. It summarizes the latest developments in stochastic analysis and estimation. It presents novel applications to practical problems in mechanical systems. The main aspects of the course are random vibrations of discrete and continuous systems, analysis of nonlinear and parametric systems, stochastic modelling of fatigue damage, parameter estimation and identification with applications of vehicle-road systems and process stimulations by means of autoregressive models. The contributions will be ofinterest to engineers and research workers in industries and universities who want first-hand informations on present trends and problems in this actual field of engineering dynamics. Finally, we would like to thank the authors for their efforts in presenting the lectures and preparing the manuscripts for publication. Many thanks are also due to Professors S. Kaliszky, Rector of CISM, to Professor G. Bianchi, Secretary General of C/SM and the very capable CISM stafffor advice and help during the preparation and the performance of the course on analysis and estimation of stochastic mechanical systems.
Werner Schiehlen, Stuttgart
Walter Wedig, Karlsruhe
CONTENTS
Page
Preface Random Vibrations of Discrete and Continuous Systems by Isaac Elishakoff............................ ............................ ..... . I Analysis of Nonline
