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Stochastic Methods in Structural Dynamics (Paperback, Softcover reprint of the original 1st ed. 1987)
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Stochastic Methods in Structural Dynamics (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Mechanics: Dynamical Systems, 10
Expected to ship within 10 - 15 working days
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This book is based on a number of lectures presented at CISM*
-Course on "Stochastic 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 stochastic 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 stochastic 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 stochastic processes in terms of
number and duration of excursions, extremes, envelopes and time to
first excursions. In Chapter 2 linear structures under stochastic
loading are analyzed by applying the concepts as outlined in
Chapter 1. The analyses are carried out in the time and frequency
range respectively.
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