VIBRATION OF MULTI-SPAN NON-UNIFORM BEAMS UNDER MOVING LOADS BY USING MODIFIED BEAM VIBRATION FUNCTIONS

Based on Hamilton's principle, the vibration of a multi-span non-uniform beam subjected to a moving load is analysed by using modified beam vibration functions as the assumed modes. The modified beam vibration functions satisfy the zero deflection conditions at all the intermediate point suppor...

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Bibliographic Details
Published in:Journal of sound and vibration 1998-05, Vol.212 (3), p.455-467
Main Authors: Zheng, D.Y., Cheung, Y.K., Au, F.T.K., Cheng, Y.S.
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Strength of materials (elasticity, plasticity, buckling, etc.)
Structural analysis. Stresses
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
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Summary:Based on Hamilton's principle, the vibration of a multi-span non-uniform beam subjected to a moving load is analysed by using modified beam vibration functions as the assumed modes. The modified beam vibration functions satisfy the zero deflection conditions at all the intermediate point supports as well as the boundary conditions at the two ends of the beam. Numerical results are presented for both uniform and non-uniform beams under moving loads of various velocities. Examples show that this method converges very quickly and good results are obtained.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1997.1435