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
Distribution Statement : APPROVED FOR PUBLIC RELEASE