Nondeterministic Problems in Structural Mechanics.

Abstract

A technique for the probabilistic analysis of nondeterministic structural problems is developed. The Finite-Element Procedure is used to analyze structures whose response is a function of random variables. Estimates are obtained for the mean values and the standard deviations of the displacements and stresses. In special cases, the distribution functions of the displacements and stresses can also be obtained. The underlying random variables can be the intensity of the loads, the dimensions, and the properties of materials. The three special problems examined were one-dimensional-plane stress problems, beam-bending problems, and two-dimensional-plane strain problems. In all of these problems, the material properties were random variables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0728402

Entities

People

  • Robert T. Langland

Organizations

  • Naval Air Weapons Station China Lake

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Displacement
  • Distribution Functions
  • Intensity
  • Materials
  • Mathematics
  • Mechanics
  • Random Variables
  • Standards
  • Structural Mechanics
  • Two Dimensional

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.