Paper Title:
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%.

  Info
Periodical
Chapter
Chapter 3: Functional Manufacturing and Information Technology
Edited by
Hun Guo, Taiyong Wang, Zeyu Weng, Weidong Jin, Shaoze Yan, Xuda Qin, Guofeng Wang, Qingjian Liu and Zijing Wang
Pages
212-217
DOI
10.4028/www.scientific.net/AMM.141.212
Citation
B. Geng, M. Hu, Q. C. Wang, J. Z. Lin, D. P. Li, "Analysis of Natural Frequency of Simply Supported Beam with Vertical Elastic Constraint", Applied Mechanics and Materials, Vol. 141, pp. 212-217, 2012
Online since
November 2011
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$32.00
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