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Evaluation of the elastic property based on boundary measurement

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Summary

This paper is concerned with the evaluation of the elastic constant of a rod based on the measurement obtained at the boundary. We consider the problem of recovering the elastic rigidity of a rod that is a function of space. The approach is based on allowing the unknown function to depend on time. With appropriate measurement data the unknown system parameters are guided from an arbitrary initial condition to their true value at a final time. An explicit equation describing the time evolution of the parameter is obtained by minimizing the error along the trajectory. The method leads to an iterative algorithm which is described in detail. Numerical results with the method indicate that accurate estimates of the unknown function can be obtained.

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Author notes

  1. M. Tadi

    Present address: Department of Mathematics and Statistics, University of Illinois at Chicago, 60607-7045, Chicago, IL, USA

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    1. M. Tadi
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    Tadi, M. Evaluation of the elastic property based on boundary measurement. Acta Mechanica 129, 231–241 (1998). https://doi.org/10.1007/BF01176748

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    • DOI: https://doi.org/10.1007/BF01176748

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