Analysis of Natural Frequency of Simply Supported Beam with Vertical Elastic Constraint
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%.
Hun Guo, Taiyong Wang, Zeyu Weng, Weidong Jin, Shaoze Yan, Xuda Qin, Guofeng Wang, Qingjian Liu and Zijing Wang
B. Geng et al., "Analysis of Natural Frequency of Simply Supported Beam with Vertical Elastic Constraint", Applied Mechanics and Materials, Vol. 141, pp. 212-217, 2012