有限元模型在车桥系统不确定性动态分析中的应用
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摘要
提出了一种新的关于车桥系统不确定动态分析的方法。该方法把一座桥模拟成一个欧拉伯努利简支梁。在有限元模型的基础上,建立车桥系统的数学模型,用Newmark-β方法来解决系统方程,并将其与传统的蒙特卡洛法相比。仿真结果表明,提出的方案在激励作用下,均值和结构反应的结果是非常准确的,同时具备较高的计算效率。
A new method of dynamic analysis on the bridge-vehicle interaction problem considering uncertainties is proposed.The bridge is modeled as a simply supported Euler-Bernoulli beam.The mathematical model of the bridge-vehicle system is established based on the finite element model in which the Gaussian random processes are represented by the Karhunen-Loéve expansion and the equations will be solved by the Newmark-β method.The proposed method is compared with the MonteCarlo method.The meanvalue and variance of the structural responses are found to be very accurate even with large uncertainties in the excitation forces.The proposed method is also found to have superior performance in the computational efficiency compared with the Monte Carlo method.
A new method of dynamic analysis on the bridge-vehicle interaction problem considering uncertainties is proposed.The bridge is modeled as a simply supported Euler-Bernoulli beam.The mathematical model of the bridge-vehicle system is established based on the finite element model in which the Gaussian random processes are represented by the Karhunen-Loéve expansion and the equations will be solved by the Newmark-β method.The proposed method is compared with the MonteCarlo method.The meanvalue and variance of the structural responses are found to be very accurate even with large uncertainties in the excitation forces.The proposed method is also found to have superior performance in the computational efficiency compared with the Monte Carlo method.
引文
1李晓燕.预应力混凝土连续小跨度箱梁荷载横向分布试验及其等代刚度的探讨.铁道建筑,2009;3:83—85
2余学文,包忠有.受路面激励引起车桥响应频谱的研究.华东交通大学学报,2008;25(2):29—33
3赵前丹.车———桥动力相互作用简化方法研究.山西建筑,2011;37(2):179—180
4刘承斌,黄洪波,王柏生.TMD在桥梁振动控制上的应用及其理论分析.市政技术,2003;21(3):137—139
5赵俊.铁路高架车站车桥动力响应分析.北京:北京交通大学,2007
6高海龙.架桥机结构动态特性分析与动态优化设计研究.成都:西南交通大学,2009
7王鸯,王琳.大跨度桥梁地震响应的主要影响因素分析.科技创新导报,2010;8:49—50
8肖新标,沈火明.移动荷载速度对简支梁动态响应的影响.西南交通大学学报,2002;37(增刊):35—38
2余学文,包忠有.受路面激励引起车桥响应频谱的研究.华东交通大学学报,2008;25(2):29—33
3赵前丹.车———桥动力相互作用简化方法研究.山西建筑,2011;37(2):179—180
4刘承斌,黄洪波,王柏生.TMD在桥梁振动控制上的应用及其理论分析.市政技术,2003;21(3):137—139
5赵俊.铁路高架车站车桥动力响应分析.北京:北京交通大学,2007
6高海龙.架桥机结构动态特性分析与动态优化设计研究.成都:西南交通大学,2009
7王鸯,王琳.大跨度桥梁地震响应的主要影响因素分析.科技创新导报,2010;8:49—50
8肖新标,沈火明.移动荷载速度对简支梁动态响应的影响.西南交通大学学报,2002;37(增刊):35—38
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