A New Method for Linear Dynamical Problems in Continuum Mechanics with Random Loads.

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0766165

Entities

People

  • Frederic Wan

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Continuum Mechanics
  • Data Science
  • Differential Equations
  • Equations
  • Information Science
  • Mechanics
  • Order Statistics
  • Partial Differential Equations
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

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