Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams.

Abstract

A numerical approximation scheme for the estimation of functional parameters in Euler-Bernoulli models for the transverse vibration of flexible beams with tip bodies is developed. The method permits the identification of spatially varying flexural stiffness and Voigt-Kelvin viscoelastic damping coefficients which appear in the hybrid system of ordinary and partial differential equations and boundary conditions describing the dynamics of such structures. An inverse problem is formulated as a least squares fit to data subject to constraints in the form of a vector system of abstract first order evolution equations. Spline-based finite element approximations are used to finite dimensionalize the problem. Theoretical convergence results are given and numerical studies carried out on both conventional (serial) and vector computers are discussed. Keywords: Mathematical models; Dynamic loads.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1986
Accession Number
ADA182198

Entities

People

  • H. Thomas Banks
  • I. G. Rosen

Organizations

  • Brown University

Tags

Communities of Interest

  • C4I
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Flexible Structures
  • Hilbert Space
  • Hybrid Systems
  • Inverse Problems
  • Mathematical Analysis
  • Mechanics
  • Partial Differential Equations
  • Theorems
  • Two Dimensional

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.