Stochastic Methods in Structural Dynamics / Edition 1

by G.I. Schuïller, Masanobu Shinozuka

Overview

This book is based on a number of lectures presented at CISM* -Course on "Shastic Methods in Structural Mechanics", August 28 -30,1985 in Udine, Italy. The chapters presented here are either expanded and/or updated versions of these lectures. The purpose is to introduce readers to basic principles of shastic methods of structural mechanics, particularly to those of dynamics. For those readers who wish to pursue the study further, the references provided in each chapter will serve as a useful source of information. Nevertheless the readers find some of the advanced topics presented by the authors immediately useful for their own application. The first section of Chapter 1 introduces the reader to the basic principles of probability theory followed by the discussion of methods to calculate time invariant structural reliability estimates, where the exact methods are particularly emphasized. The Chapter continues with a first introduction to the theory of shastic processes. The properties of Gaussian and other type of processes are discussed. In dealing with observed data, tests of stationarity, as well as methods to estimate power spectra are described in some detail. The Chapter closes with a first treatice of excursions of shastic processes in terms of number and duration of excursions, extremes, envelopes and time to first excursions. In Chapter 2 linear structures under shastic loading are analyzed by applying the concepts as outlined in Chapter 1. The analyses are carried out in the time and frequency range respectively.

Product Details

ISBN-13:	9789024736119
Publisher:	Springer Netherlands
Publication date:	11/30/1987
Series:	Mechanics: Dynamical Systems , #10
Edition description:	1987
Pages:	218
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Basic Principles of Probability, Shastic Processes and Reliability Methods.- 2 Shastic Dynamic Analysis of Linear Systems.- 3 Shastic Fields and Their Digital Simulation.- 4 Application of Markov Process Theory to Nonlinear Random Vibration Problems.- 5 Approximate Methods in Non-Linear Shastic Dynamics.- 6 Seismic Damage Analysis of Reinforced Concrete Buildings.- Appendices.- A Linearization Coefficients.- B Details of Damaged Buildings.- Author Index.

Editorial Reviews

‘ This is an extremely valuable "reinforcement" to existing textbooks on Random Vibration. The authors deserve congratulations on having produced a reference that will undoubtedly serve well the community of engineers, scientists and graduate students. '
J. Elishakoff in The Shock and Vibration Digest, Vol.22,No.1, January 1990

From the Publisher