车桥耦合数值模拟桥梁冲击系数随机变量的概率分布

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摘要把桥梁和车辆看作车桥耦合振动体系的两个分离子系统，基于ANSYS软件建立了车辆和桥梁的有限元模型。使用三角级数叠加以及离散傅立叶逆变换模拟了桥面不平度，采用分离迭代算法计算了车桥耦合系统的动力响应。通过对一简支梁桥车桥耦合振动的数值模拟，引入一种新的冲击系数计算方法，采用数理统计的方法得到桥梁冲击系数的概率分布及置信度为0.05的冲击系数。结果表明：桥面不平度对冲击效应的影响明显；使用三角级数叠加法计算路面不平度得到的冲击系数样本概率分布上服从正态分布，而离散傅里叶逆变换法获得的冲击系数样本服从极值Ⅰ型分布；离散傅里叶逆变换获得的冲击系数小于三角级数叠加法得到的，两者计算得到的冲击系数均大于规范计算数值。

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	沈锐利1
	官快1
	房凯1

Abstract：

The bridge and vehicle were treated as two separated sub-systems, the FEM model of vehicle-bridge vibrations were established based on ANSYS software. Trigonometric series iteration and inverse discrete Fourier transform were used to simulate the deck roughness. The dynamic response of vehicle-bridge coupled vibration system was solved by using separated iterative algorithm. A new method was introduced to calculate impact coefficient by numerical simulating the vehicle-bridge coupled vibration of a simple supported beam bridge. Mathematical statistics method was used to get the probability distribution function of impact coefficient and the impact coefficient whose confidence coefficient is 0.05. The result indicates that (1) the deck roughness had a significant influence on impact effect of bridge; (2) Sample of impact coefficient obtained by using trigonometric series iteration are normally distributed and the other obtained by using inverse discrete Fourier transform obey extreme-I probability distribution; (3) Impact coefficient got by using inverse discrete Fourier transform were larger than that of trigonometric series iteration, both of them were larger than that of methods on the Specification.

Key words： highway bridge separated iterative algorithm deck roughness vehicle model impact coefficient probability distribution

收稿日期: 2014-04-24 出版日期: 2015-09-25

引用本文:

沈锐利1，官快1，房凯1. 车桥耦合数值模拟桥梁冲击系数随机变量的概率分布[J]. 振动与冲击, 2015, 34(18): 123-128.
SHEN Ruili1，GUAN Kuai1，FANG Kai1. Probability distribution of random variables of impact coefficient in numerical simulating the vehicle-bridge coupled vibration. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(18): 123-128.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I18/123

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