Analysis of Natural Frequency of Simply Supported Beam with Vertical Elastic Constraint

Bo Geng; Miao Hu; Qi Chen Wang; Jin Zhou Lin; Dian Peng Li

doi:10.4028/www.scientific.net/AMM.141.212

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 141Analysis of Natural Frequency of Simply Supported...

Analysis of Natural Frequency of Simply Supported Beam with Vertical Elastic Constraint

Abstract:

Modal analysis of a simply supported beam with elastic support in vertical direction was conducted. Based on Bernoulli-Euler beam model, the first three nature frequency equations and the vibration mode function were obtained. And with different stiffness in vertical direction, the nature frequency equations were solved using numerical method, at the same time, curves of the relationship between support stiffness and nature frequency were acquired, and the corresponding functions were fitted with least square method simultaneously. Based on a typical beam structure, the accuracy of the functions was validated using finite element method, and the relative error was less than 3%.

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Periodical:

Applied Mechanics and Materials (Volume 141)

Pages:

212-217

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.141.212

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Online since:

November 2011

Authors:

Bo Geng, Miao Hu, Qi Chen Wang, Jin Zhou Lin, Dian Peng Li

Keywords:

Elastic Restraint, Finite Element Method (FEM), Modal Analysis, Nature Frequency, Simply Supported Beam

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