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Simplest-expression integrals involving beam-column eigenmodes
Arch. Mech. 64 (5), 529-535, 2012
Keywords: simplest-expression integrals; beam-column eigenfunctions; Rayleigh–Ritz method; stability; buckling
Abstract
Novel integrals, in their simplest form, involving beam-column eigenfunctions and derivatives are presented. All the integrals arise in computational stability analysis of frames. It is stressed that simpler results improve the accuracy of Rayleigh–Ritz-based approximate methods for buckling analysis of distributed structures.