Parameter Estimation in Complex Linear Structures

Hjelmstad, K.D.; Wood, S.L.; Clark, S.J.

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https://hdl.handle.net/2142/14175 Copy

Description

Title

Parameter Estimation in Complex Linear Structures

Author(s)

• Hjelmstad, K.D.
• Wood, S.L.
• Clark, S.J.

Issue Date

1990-12

Keyword(s)

• Numerical analysis
• Paramenter estimation

Abstract

In this work we describe an approach to parameter estimation of complex linear structures which we call the mutual residual energy approach. Our main goal has been to develop a unified approach to the discrete inverse problems describing static equilibrium and free, undamped vibration, with a particular view toward evolving methods which are amenable to large-scale computation. The mutual residual energy method is based on the assumption that the topology and geometry of the structure are known, and that the system matrices can be linearly parameterized in terms of kernel matrices which have a solid physical basis and are easy to assemble. Measured motions of the structure are used (in conjunction with measured loads for the static case) to make estimates of the constitutive parameters. The method is based on a particular statement of the principle of virtual work and yields equations for estimating stiffness and mass parameters of linear structures. If the response of the structure is measured completely, the estimation equations are linear and generally overdetermined. A condensation procedure is presented to deal with the case of incompletely measured systems.The quantity and quality of response measurements required, the consequences of noisy data, and the choice of load form are among the issues important to the success of our parameter estimation scheme. Extensive numerical simulations have been carried out to assess the performance of the algorithms developed.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-557

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14175

Sponsor(s)/Grant Number(s)

• The Army Research Office
• National Science Foundation Grant CES 86-58019

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