Accession Number : ADA185727

Title :   Inverse Problems in the Modeling of Vibrations of Flexible Beams.

Descriptive Note : Final rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Banks, H T ; Powers, R K ; Rosen, I G

PDF Url : ADA185727

Report Date : Feb 1987

Pagination or Media Count : 24

Abstract : The formulation and solution of inverse problems for the estimation of parameters which describe damping and other dynamic properties in distributed models for the vibration of flexible structures is considered. Motivated by a slewing beam experiment, the identification of a nonlinear velocity dependent term which models air drag damping in the Euler-Bernoulli equation is investigated. Galerkin techniques are used to generate finite dimensional approximations. Convergence estimates and numerical results are given. The modeling of, and related inverse problems for the dynamics of high pressure hose line feeding a gas thruster actuator at the tip of a cantilevered beam are then considered. Approximation and convergence are discussed and numerical results involving experimental data are presented.

Descriptors :   *FLEXIBLE STRUCTURES, *VIBRATION, *BEAMS(STRUCTURAL), ACTUATORS, AERODYNAMIC DRAG, APPROXIMATION(MATHEMATICS), BERNOULLI DISTRIBUTION, CANTILEVER BEAMS, CONVERGENCE, DAMPING, DISTRIBUTION, DYNAMICS, ESTIMATES, EULER ANGLES, EXPERIMENTAL DATA, FINITE DIFFERENCE THEORY, INVERSION, MODELS, NONLINEAR SYSTEMS, NUMERICAL ANALYSIS, PROBLEM SOLVING, SIZES(DIMENSIONS), SLEWING, THRUSTERS, VELOCITY, SPACE SYSTEMS, PNEUMATIC EQUIPMENT, HOSES, MATHEMATICAL MODELS

Subject Categories : Structural Engineering and Building Technology

Distribution Statement : APPROVED FOR PUBLIC RELEASE