Analysis of coefficient identification problems associated to the inverse Euler-Bernoulli beam theory |
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Authors: | Lesnic D; Elliott L; Ingham DB |
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Institution: |
Department of Applied Mathematical Studies, University of Leeds, Leeds LS2 9JT, UK
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Abstract: | A rigorous investigation of the identification of a heterogeneousflexural rigidity coefficient in the Euler-Bernoulli steady-statebeam theory in the presence of a prescribed load is presented.Mathematically, this study is an extension to higher-order differentialequations of the coefficient identification problem analysedby Marcellini (1982) for the one-dimensional Poisson equation.In addition, various types of boundary conditions are discussed.Conditions for the well-posedness of these inverse problemsare established and, furthermore, numerical results obtainedusing a regularization algorithm are presented. |
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