Accession Number : ADA182198
Title : Computational Methods for the Identification of Spatially Varying Stiffness and Damping in Beams.
Descriptive Note : Rept. for Nov 85-27 Oct 86,
Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Personal Author(s) : Banks,H T ; Rosen,I G
PDF Url : ADA182198
Report Date : Aug 1986
Pagination or Media Count : 46
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.
Descriptors : *FLEXURAL PROPERTIES, *DYNAMIC LOADS, *STRUCTURAL RESPONSE, *BEAMS(STRUCTURAL), DAMPING, DYNAMICS, STIFFNESS, INVERSION, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, TRANSVERSE, VIBRATION, VECTOR ANALYSIS, NUMERICAL METHODS AND PROCEDURES, ESTIMATES, HYBRID SYSTEMS, MATHEMATICAL MODELS, NUMERICAL ANALYSIS, CONVERGENCE, COMPUTERS, LEAST SQUARES METHOD, ELASTIC PROPERTIES, CONTINUUM MECHANICS
Subject Categories : Mechanics
Structural Engineering and Building Technology
Distribution Statement : APPROVED FOR PUBLIC RELEASE