A Novel Approach for Structural Mechanics Problems with Stochasticity

Abstract

Based on the support of the aforementioned grant, considerable advances were made in several structural mechanics problems with stochasticity. First, a new method was developed for the solution of problems involving material variability. The Karhunen-Loeve expansion was used for this purpose. Further, a problem involving a plate with curved boundary was solved. Also methods unifying the theory of stochastic and deterministic finite elements were developed. In parallel, a method for more efficient Monte-Carlo simulation was developed. Finally, some work in the area-of stochastic finite difference was done. Two research assistants have participated in the program; the one under support from discretionary funds of Rice University. Five research papers with acknowledgment of the support from AFOSR have been produced. Structural mechanics; Finite elements; Beams and plates.

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Document Details

Document Type
Technical Report
Publication Date
Apr 18, 1993
Accession Number
ADA266189

Entities

People

  • L. B. Ryon
  • Pol D. Spanos

Organizations

  • Rice University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Civil Engineering
  • Computational Science
  • Data Science
  • Differential Equations
  • Distribution Functions
  • Engineers
  • Finite Element Analysis
  • Information Science
  • Integral Equations
  • Mechanics
  • Modulus Of Elasticity
  • Monte Carlo Method
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Analysis
  • Stochastic Processes

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Technical Research and Report Writing.