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Estimation of elastic coefficients for a multiple beam structure

Abstract

In this paper, we consider the estimation of spatially dependent elastic parameters in a static distributed model of a simple structure composed of two beams at a fixed angle to one another. We formulate the potential energy functional of the system and obtain existence of optimal estimators to a regularized-output least-squares estimation problem. We discuss regularity and approximation results for the basic problem and penalized problem in which nonconforming elements are used to model the junction of the beams. Numerical examples are presented and generalizations to multiple-beam systems are discussed.

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Additional information

This work was supported in part by AFOSR Grant 91-0017.

Communicated by L. D. Berkovitz

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White, L.W., Feng, Y.S. Estimation of elastic coefficients for a multiple beam structure. J Optim Theory Appl 79, 611–640 (1993). https://doi.org/10.1007/BF00940562

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Key Words

  • Connected beams
  • identification
  • nonconforming finite elements