Lesnic, D.; Elliott, L.; Ingham, D. B. Analysis of coefficient identification problems associated to the inverse Euler-Bernoulli beam theory. (English) Zbl 0954.74025 IMA J. Appl. Math. 62, No. 2, 101-116 (1999). Summary: We investigate the identification of a heterogeneous flexural rigidity coefficient in the steady-state Euler-Bernoulli beam theory in the presence of a prescribed load. Mathematically, this study is an extension to higher-order differential equations of the coefficient identification problem analysed by P. Marcellini [Ric. Mat. 31, 223-243 (1982; Zbl 0529.34018)] for the one-dimensional Poisson equation. In addition, we discuss various boundary conditions and establish the well-posedness of these inverse problems. We also present numerical results obtained by using a regularization algorithm. Cited in 1 ReviewCited in 13 Documents MSC: 74G75 Inverse problems in equilibrium solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:coefficient identification; inverse Euler-Bernoulli beam theory; heterogeneous flexural rigidity coefficient; well-posedness; regularization algorithm Citations:Zbl 0529.34018 PDFBibTeX XMLCite \textit{D. Lesnic} et al., IMA J. Appl. Math. 62, No. 2, 101--116 (1999; Zbl 0954.74025) Full Text: DOI