Damage Diagnosis for Elasto-Plastic Structures.

Abstract

The present report established a probabilistic characterization of a damaged structure, which is modeled as an nonlinear multi-degree-of-freedom (MDF) system. The random excitation maybe either stationary or nonstationary. The stiffness matrix is nonlinear to stimulate the elasto-plastic behavior of a damaged structure. The stiffness matrix is also random to characterize the material and environmental varations. The governing stochastic differential equation is resolved into one for the mean response and another for its random component. The respones, their statistical moments and cross-moments are solved with discrete-time recurrence formulations. The omission of the higher order terms in obtaining the response statistics is admissible if the stiffness does not behave extremely random. Both errors in the mean and variance responses, which arise from neglecting the higher order terms, are not small order. Keywords: Elastomers; Plastics; Random Excitation; Random stiffness; Nonlinear elastoplastic; Damage diagnosis.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA179772

Entities

People

  • Fashin C. Chang
  • Frederick D. Ju

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Axial Loads
  • Computer Programs
  • Differential Equations
  • Dynamic Loads
  • Engineering
  • Frequency
  • Linear Systems
  • Materials
  • Mechanics
  • Modal Analysis
  • Modulus Of Elasticity
  • Nonlinear Analysis
  • Plastic Properties
  • Reliability
  • Stress Strain Relations
  • Structural Response

Fields of Study

  • Engineering

Readers

  • Statistical inference.
  • Structural Dynamics.