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A fifth-order polynomial that serves as both buckling and vibration mode of an inhomogeneous structure

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Publication:1862331
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DOI10.1016/S0960-0779(00)00014-XzbMath1014.74031MaRDI QIDQ1862331

Isaac Elishakoff, Z. Guédé

Publication date: 19 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)


zbMATH Keywords

bucklingmode shapevibration modedistributed axial loadsstatic displacementfifth-order polynomialhomogeneous beaminhomogeneous beams


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60)


Related Items (3)

A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients ⋮ Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns ⋮ Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns




Cites Work

  • A remarkable nature of the effect of boundary conditions on closed-form solutions for vibrating inhomogeneous Bernoulli-Euler beams




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