多个车辆荷载作用下桥梁演变随机振动分析
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摘要
将桥梁简化为两端简支的欧拉-伯努利梁模型,考虑两自由度车辆移动系统,以桥面结构表面不平度功率谱密度函数作为输入,建立了多个移动车辆系统-桥的耦合力学分析模型。通过状态空间理论和演变随机过程一般理论,应用模态分析法,给出了整个车-桥耦合系统演变随机响应的求解方法,推导得到了桥梁截面位移和截面弯矩均方值响应和演变功率谱密度函数的理论公式,并结合算例分析,讨论了在不同桥梁跨度、不同桥面等级、不同车辆移动速度下桥梁跨中位移均方根值响应的变化规律。
The coupling random vibration of vehicles-bridge is studied.The bridge and vehicle are modeled as a continuous Euler-Bernoulli beam simply supported at the both end and a two-DOF system with linear suspensions and tire flexibility respectively.The power spectral density of bridges surface irregularity is taken as input.According to state space theory,general evolutionary random processes and modal analysis,the mean square values and evolutionary power spectral density functions of bean-displacement and section moment are derived.The effects of bridge span,road surface roughness and vehicles speed on the root mean square of the deflection at the middle of beam are discussed.
The coupling random vibration of vehicles-bridge is studied.The bridge and vehicle are modeled as a continuous Euler-Bernoulli beam simply supported at the both end and a two-DOF system with linear suspensions and tire flexibility respectively.The power spectral density of bridges surface irregularity is taken as input.According to state space theory,general evolutionary random processes and modal analysis,the mean square values and evolutionary power spectral density functions of bean-displacement and section moment are derived.The effects of bridge span,road surface roughness and vehicles speed on the root mean square of the deflection at the middle of beam are discussed.
引文
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[2]李军强,刘宏昭,何钦象,等.车-桥系统耦合振动响应的简便计算[J].应用力学学报,2004,21(2):66—69.
[3]盛国刚,李传习,赵冰.多个移动车辆作用下简支梁的动力响应分析[J].工程力学,2006,23(12):154—158.
[4]盛国刚,李传习,赵冰.桥梁表面不平顺对车-桥耦合振动系统动力效应的影响[J].应用力学学报,2007,24(1):124—127.
[5]Tso-Chien Pan,Jing Li.Dynamic vehicle elmentmethod for transient response of coupled vehicle-sruc-ture systems[J].J.Struct.Eng.,2002,128(2):214—223.
[6]Muscolino G,Benfratello S,Sidoti A.Dynamic anal-ysis of distributed parameter system subjcected to amoving oscillator with random mass,velocity and ac-celeration[J].Probalilistic Engineering Mechanics,2002,17:63—82.
[7]丁建华,李翼龙,高农.车流作用下简支梁桥的随机振动分析[J].哈尔滨建筑大学学报,1997,30(2):109—114.
[8]Li J Q,Leng X L,Fang T.Evolutionary random re-sponse problem of a coupled vehicle-bridge system[J].Archive of Applied Mechianics,2002,72:536—544.
[9]张志超,赵岩,林家浩.车桥耦合系统非平稳随机性分析[J].振动工程学报,2007,20(5):439—446.
[10]晋志斌,强士中,李小珍.高速列车-桥梁竖向随机振动的时域分析方法[J].地震工程与工程振动,2008,28(3):110—115.
[11]晋志斌,强士中,李小珍.轨道不平顺激励下车辆-桥梁垂向随机振动方差解法[J].铁道学报,2008,30(6):63—67.
[12]R.克拉夫,J.彭津.结构动力学[M].北京:高等教育出版社,2003.
[13]方同.工程随机振动[M].北京:国防工业出版社,1995.
[14]张嗣瀛,高立群.现代控制理论[M].北京:清华大学出版社,2006
[15]易建国.桥梁计算示例集:混凝土简支梁(板)桥[M].北京:人民交通出版社,1991.
[16]何锋,杨林.汽车动力学[M].贵阳:贵州科技出版社,2003.
[17]雷成雨.汽车系统动力学及仿真[M].北京:国防工业出版社,1997.
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