Accession Number : ADA119050

Title :   Numerical Methods of Parameter Identification for Problems Arising in Elasticity.

Descriptive Note : Doctoral thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH

Personal Author(s) : Crowley,James Michael

PDF Url : ADA119050

Report Date : Jun 1982

Pagination or Media Count : 136

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.

Descriptors :   *Numerical methods and procedures, *Parametric analysis, *Elastic properties, *Identification, *Damping, Partial differential equations, Problem solving, Estimates, Constants, Hilbert space, Approximation(Mathematics), Splines, Convergence, Timoshenko beam, Boundary value problems, Transverse, Vibration, Theses

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE