
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 WRIGHTPATTERSON 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 fourthorder 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 semidiscrete approximation which is used to estimate the unknown parameters. Covergence of the approximations is proved using linear semigroup theory and the TrotterKato theorem. The proposed methods are applied to estimation of parameters in both the EulerBernoulli 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