Numerical Methods of Parameter Identification for Problems Arising in Elasticity.

Abstract

Numerical methods for approximate identification or estimation of constant parameters in certain fourth-order partial differential equations (distributed parameter systems) from data are proposed based upon a reformulation of the problem as an abstract equation in a Hilbert space. Projections onto suitable subspaces of splines are used to obtain a semi-discrete approximation which is used to estimate the unknown parameters. Covergence of the approximations is proved using linear semigroup theory and the Trotter-Kato theorem. The proposed methods are applied to estimation of parameters in both the Euler-Bernoulli equation with structural and viscous damping and the Timoshenko equation for transverse vibration of a beam. Numerical results are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA119050

Entities

People

  • James Michael Crowley

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Applied Mathematics
  • Banach Space
  • Boundary Value Problems
  • Computations
  • Computer Programs
  • Computers
  • Differential Equations
  • Elastic Properties
  • Equations
  • Hilbert Space
  • Mathematics
  • Partial Differential Equations
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space