End Effects in Long Curved Beam

by Bellur S. Ramachandra Rao, Asst. Prof.; Dept. of Mathematics, Indian Inst. of Tech., Powai, Bombay, India,
N. B. Shukla, formerly, Grad. Student; Mech. Engrg. Dept., Indian Inst. of Tech., Powai, Bombay, India,
S. Gopalacharayulu, Research Assoc.; Dept. of Transport Tech., Loughborough Univ., Leicestershire, United Kingdom,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 1, Pg. 19-29

Document Type: Journal Paper


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.

Subject Headings: Curved beams | Domain boundary | Cross sections | Numerical analysis | Numerical methods | Convergence (mathematics) | Decomposition | Load factors

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