Study on Free Vibrations of Self-Anchored Suspension Bridges

Author:

Li Jie1,Li Na1

Affiliation:

1. School of Civil Engineering, Zhengzhou University

Abstract

Study on characters of suspension bridges free vibration is basic to analyze wind resistance, shock resistance, and other dynamic behaviors. Current studies are usually focused on earth-anchored suspension bridges. Compared with earth-anchored suspension bridges, self-anchored suspension bridges are anchored on the girder end which makes girder under the compression condition, cable longitudinal displacement can not be neglected, in addition, large ratio of rise to span leads to cable large tilt angle. Based on functional analysis method, it uses variation calculus to derive differential equation of two-tower and three-span continuous self-anchored suspension bridges free vibrations, taking into account cable tilt angle and cable longitudinal displacement. According to the simplified differential equation, it draws to a formula that can calculate self-anchored longitudinal and vertical vibration frequencies. Finally, two examples are carried out to check the formula’s reasonableness.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference10 articles.

1. Li Guohao, Stability and Vibration of Bridge Structures, Beijing: China Railway Publishing House, Beijing, 2002(Revised Edition), P375~383(in Chinese).

2. Steel Bridge, (NO. 5 Translation by Dai Zhenfan), China Railway Publishing House, Beijing, 1981, P71~84(in Chinese).

3. Chen Renfu, Theory of Long Span Suspension Bridge, Southwest Jiaotong University Publishing Press, Chengdu, 1994, P73~78(in Chinese).

4. Abdel-Ghaffar A M, Free lateral vibration of suspension bridge, ASCE, Vol. 104, ST3, 1978, P503~508.

5. Zhang Hongbin, Kong Xianjing, Zhang Zhe, Research on Dynamic Performance of Self-anchored Suspension Bridge, Journal of Highway and Transportation Research and Development, Vol. 21 No. 7, July, 2004, P66~69(in Chinese).

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