车辆过桥的动力响应研究
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摘要
考虑路面随机不平顺激励,采用大型有限元通用分析软件ANSYS实现了公路简支梁桥考虑车桥动力耦合的振动响应计算。采用5个自由度的汽车计算模型模拟重车,采用梁单元模型模拟简支梁桥,把车辆和桥梁视作2个分离子体系,分别应用d‘Alembert原理和有限元法建立各自的振动方程组。在matlab平台上利用Newmark-β法求解车辆振动方程组,得出车辆振动的位移、速度等随时间的变化规律。通过车桥位移协调方程及车桥相互作用力相等的联系方程将车桥振动方程耦合,建立车桥耦合的振动方程,计算得出了考虑车桥耦合振动下的汽车和桥梁动力响应。
By using large-scale general-purpose finite element analysis software ANSYS,the dynamic response of simple-span highway bridge due to the random surface irregularities of the bridge deck is obtained when the coupled vibration of vehicle-bridge is considered.The heavy vehicle with 5 degrees of freedom is used as vehicle model,and the beam element as simple-span bridge model.The vehicle-bridge system is separated into two subsystems,and the dynamic differential equations of them are established by d'Alembert principle and finite element method respectively.The displacement-time and velocity-time numerical sequences about vehicle vibration are obtained by using Newmark-β method to solve the vehicle differential equations at the Matlab platform.The dynamic differential equations of two subsystems are coupled by displacement compatibility and force equilibrium,and then the dynamic differential coupled equations of vehicle-bridge system are formed.The dynamic response of vehicle and bridge are obtained when the coupled vibration of vehicle-bridge is considered.The results obtained are of some reference value for evaluating the passenger's comfort and understanding the dynamic response of simple-spam highway bridge.
By using large-scale general-purpose finite element analysis software ANSYS,the dynamic response of simple-span highway bridge due to the random surface irregularities of the bridge deck is obtained when the coupled vibration of vehicle-bridge is considered.The heavy vehicle with 5 degrees of freedom is used as vehicle model,and the beam element as simple-span bridge model.The vehicle-bridge system is separated into two subsystems,and the dynamic differential equations of them are established by d'Alembert principle and finite element method respectively.The displacement-time and velocity-time numerical sequences about vehicle vibration are obtained by using Newmark-β method to solve the vehicle differential equations at the Matlab platform.The dynamic differential equations of two subsystems are coupled by displacement compatibility and force equilibrium,and then the dynamic differential coupled equations of vehicle-bridge system are formed.The dynamic response of vehicle and bridge are obtained when the coupled vibration of vehicle-bridge is considered.The results obtained are of some reference value for evaluating the passenger's comfort and understanding the dynamic response of simple-spam highway bridge.
引文
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[3]王贵春.大跨度铁路斜拉桥车激振动线性及非线性分析[D].北京:铁道部科学研究院,1996.
[4]王福天.车辆系统动力学[M].北京:中国铁道出版社,1994.
[5]张定贤.机车车辆轨道系统动力学[M].北京:中国铁道出版社,1996.
[6]克拉夫R W,彭津J.结构动力学[M].王光远,译.北京:科学出版社,2006.
[7]金睿臣,宋键.路面不平度的模拟与汽车非线性随机振动的研究[J].清华大学学报:自然科学版,1999,39(8):76-79.
[8]刘献栋,邓志党,高峰.公路路面不平度的数值模拟方法研究[J].北京航空航天大学学报,2003,29(9):843-846.
[9]星谷胜.随机振动分析[M].常宝琦,译.北京:地震出版社,1979.
[10]中华人民共和国行业标准.GB/T7031—1986车辆振动输入与路面平度表示方法[S].北京:中国标准出版社,1987.
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