Accession Number : AD0766165
Title : A New Method for Linear Dynamical Problems in Continuum Mechanics with Random Loads.
Descriptive Note : Technical rept.,
Corporate Author : ARMY MATERIALS AND MECHANICS RESEARCH CENTER WATERTOWN MASS
Personal Author(s) : Wan,Frederic Y. M.
Report Date : JAN 1973
Pagination or Media Count : 28
Abstract : PROBLEMS IN CONTINUUM MECHANICS ARE USUALLY FORMULATED AS INITIAL-BOUNDARY VALUE PROBLEMS IN LINEAR PARTIAL DIFFERENTIAL EQUATIONS. For problems with random forcings, the paper proposes a general, rigorous, and practical method for the determination of second-order statistics of the response. The essential feature of the method is the formulation of an initial-boundary value problem for the (matrix) spatial correlation which contains the mean square response as a special case. The (matrix) auto-correlation function is determined by another initial-boundary value problem with the spatial correlation function as the initial condition. The method is particularly useful for problems for which no other practical method is available, and it is competitive with an available method for problems solvable by both. (Author)
Descriptors : (*CONTINUUM MECHANICS, PARTIAL DIFFERENTIAL EQUATIONS), LOADS(FORCES), BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), CORRELATION TECHNIQUES, LINEAR SYSTEMS
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE