Simplest-expression integrals involving beam-column eigenmodes

J.I. Colombo; C.A. Morales

Authors

J.I. Colombo Departamento de Ingeniería Estructural y Geotécnica, Pontificia Universidad Católica de Chile, Chile
C.A. Morales Departamento de Ingeniería Pontificia Universidad Católica del PerÃº and Departamento de Mecánica, Universidad Simón Bolívar, Chile

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.

Keywords:

simplest-expression integrals, beam-column eigenfunctions, Rayleigh–Ritz method, stability, buckling

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Simplest-expression integrals involving beam-column eigenmodes

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