Generalized Orthogonality Condition for Beams with Intermediate Lumped Masses Subjected to Axial Force

DOI10.1177/1077546309106526zbMath1269.74091OpenAlexW1991481497MaRDI QIDQ5327554

Pezhman A. Hassanpour, William L. Cleghorn, James K. Mills, Ebrahim Esmailzadeh

Publication date: 8 August 2013

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546309106526

zbMATH Keywords

beamaxial forceorthogonality conditionexact mode shapes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

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• Free vibration of Timoshenko beam with finite mass rigid tip load and flexural-torsional coupling
• Natural frequencies and mode shapes of arbitrary beam structures with arbitrary boundary conditions
• Free vibration analysis of a uniform cantilever beam with point masses by an analytical-and-numerical-combined method
• Forced Vibration of a Mass-Loaded Beam with a Heavy Tip Body
• Free Vibrations of Axially Loaded Beams With Concentrated Masses and Intermediate Elastic Supports
• Free and forced vibrations of a Timoshenko beam with any number of translational and rotational springs and lumped masses

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