任意移动荷载列作用下简支梁桥的竖向振动响应解析分析

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (20) : 137-142.

论文

任意移动荷载列作用下简支梁桥的竖向振动响应解析分析

李小珍，张志俊，刘全民

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Analysis on Vertical Dynamic Response of Simply Supported Beam Bridge under Successive Moving Loads

LI Xiao-zhen , ZHANG Zhi-jun, LIU Quan-min

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文章历史 +

摘要

采用振动理论推导欧拉-贝努利梁在任意移动荷载列模型作用下其竖向振动的解析表达式。在表达式中综合考虑了列车移动速度、所选取的振型阶数、简支梁自身的质量和刚度以及体系的阻尼比对简支梁竖向动力响应的影响。并用MATLAB语言编程计算，对结果的正确性进行校核。以京沪高速线路上32m简支梁桥为例，分析了简支梁桥在8辆ICE3动车编组的荷载列作用下的竖向动力响应。计算结果表明，本文的计算方法能够模拟桥梁在间距、大小均任意的移动荷载列作用下的竖向振动。解析结果应用于高速铁路的初步设计及对最大振动能级进行评估时可快速得出可靠结果。

Abstract

In this paper, vibration theory is used to deduce vertical vibration’s analytical expressions of Euler- Bernoulli beam which moving loads go across. In the analysis expression, the influences of the train’s travelling speed ,the selected numbers of vibration mode ,the mass and rigidity of beam itself and and the damping ratio of the system on the vertical dynamic response of simply supported beam bridge are considered comprehensively. Then the calculating program is made with MATLAB to analyze the dynamic response of a bridge as an example, so as to check the correctness of the analysis expression. Then the 32 meters simply supported beam bridge of Beijing-Shanghai high-speed railway is analyzed. The vertical vibration of the bridge under the moving loads of 8 ICE3 motor cars is calculated and the properties of vibration responses are analyzed. The calculation results show that the method of calculation in this paper really can be applied to the vertical vibration of the beam subjected to randomly spaced loads . The analysis expressions can be applied to railway bridges preliminary design and assessment of the expected maximum vibration levels under high-speed trains. The reliable results can be calculated rapidly.

导出引用

李小珍;张志俊;刘全民. 任意移动荷载列作用下简支梁桥的竖向振动响应解析分析[J]. 振动与冲击, 2012, 31(20): 137-142

LI Xiao-zhen;ZHANG Zhi-jun;LIU Quan-min. Analysis on Vertical Dynamic Response of Simply Supported Beam Bridge under Successive Moving Loads [J]. Journal of Vibration and Shock, 2012, 31(20): 137-142