The Identification of a Distributed Parameter Model for a Flexible Structure,

Abstract

A develop a computational method is developed for the estimation of parameters in a distributed model for a flexible structure. The structure we consider (part of the 'RPL experiment') consists of a cantilevered beam with a thruster and linear accelerometer at the free end. The thruster is fed by a pressurized hose whose horizontal motion effects the transverse vibration of the beam. The Euler-Bernoulli theory is used to model the vibration of the beam and treat the hose thruster assembly as a lumped or point mass dashpot spring system at the tip. Measurements of linear acceleration at the tip are used to estimate the hose parameters (mass, stiffness, damping) and a Voigt-Kelvin viscoelastic structural damping parameter for the beam using a least squares fit to the data. Spline based approximations are considered to the hybrid (coupled ordinary and partial differential equations) systems; theoretical convergence results and numerical studies with both simulation and actual experimental data obtained from the structure are presented and discussed.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1986
Accession Number
ADA174802

Entities

People

  • H. Thomas Banks
  • I. G. Rosen
  • S. S. Gates
  • Yaonan Wang

Organizations

  • Brown University

Tags

Communities of Interest

  • Sensors
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accelerometers
  • Air Force
  • Applied Mathematics
  • Computational Science
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Experimental Data
  • Flexible Structures
  • Mathematics
  • Measurement
  • Mechanics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • United States
  • Vibration

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electrical Engineering
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster