Abstract

Eigenfunction solutions of the biharmonic equation have been used to investigate the Saint-Venant boundary region in a long curved beam of rectangular cross section. The participation constants involved in the eigenfuction expansions are determined by expanding each of the nonorthogonal eigenfunctions in terms of an orthogonal set of real functions. The numerical convergence of the associated eigenfunction expansions and the decay properties have been studied for some prescribed self-equilibriated end loading.

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