Computational Stochastic Mechanics

Computational Stochastic Mechanics

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Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.The methodology presented here is an extension of the work presented in Beck and Katafygiotis [1989], and allows for an efficient and accurate estimation of the first two ... FORMULATION OF THE PROBLEM Let x(t; I) e R* denote the system output at time t, for given known input I. Let M ... aa#39;]aquot; e R^*** prescribing the pdf: p( x|a, g, MP) = h(x;q(q), g) = f(x;a, g) (2) In order to account for the uncertainty in the anbsp;...

Title:Computational Stochastic Mechanics
Author: P.D. Spanos, C.A. Brebbia
Publisher:Springer Science & Business Media - 2012-12-06

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