车桥耦合振动数值分析
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摘要
应用达朗贝尔原理推导车辆和桥梁的振动平衡方程,结合NEWMARK法计算原理编制对车桥耦合振动问题求解的计算程序。分别使用该程序和龙格—库塔法对一简支梁的车桥振动求解。结果表明:该程序的计算结果准确可靠,可应用于车桥耦合振动分析。
The vibration balance equation model for vehicle and bridge is derived with the employment of d'Alembert principle.In consideration of Newmark calculation principals,computational procedures for vehicle-bridge coupled vibration problem are compiled.This program and Runge-Kutta method are used to calculate some simply supported beam respectively.It demonstrates through example analysis that the calculation results of this computational procedure are accurate and it can be used for analyzing vehicle-bridge coupled vibration problem.
The vibration balance equation model for vehicle and bridge is derived with the employment of d'Alembert principle.In consideration of Newmark calculation principals,computational procedures for vehicle-bridge coupled vibration problem are compiled.This program and Runge-Kutta method are used to calculate some simply supported beam respectively.It demonstrates through example analysis that the calculation results of this computational procedure are accurate and it can be used for analyzing vehicle-bridge coupled vibration problem.
引文
[1]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002.
[2]Thomas D.Gillespie.车辆动力学基础[M].赵六奇,金达锋,译.北京:清华大学出版社,2006.
[3]曹雪琴,刘必胜,吴鹏贤.桥梁结构动力分析[M].北京:中国铁道出版社,1987.
[4]Anil K Chopra.结构动力学理论及其在地震工程中的应用[M].2版.北京:高等教育出版社,2005.
[5]Bathe K.J,Wilson E.l.Solution methods for eigen-value problems in structural mechanics[J].Internation-al Journal for Numerical Methods in Engineering,1973,6(2):213-226.
[2]Thomas D.Gillespie.车辆动力学基础[M].赵六奇,金达锋,译.北京:清华大学出版社,2006.
[3]曹雪琴,刘必胜,吴鹏贤.桥梁结构动力分析[M].北京:中国铁道出版社,1987.
[4]Anil K Chopra.结构动力学理论及其在地震工程中的应用[M].2版.北京:高等教育出版社,2005.
[5]Bathe K.J,Wilson E.l.Solution methods for eigen-value problems in structural mechanics[J].Internation-al Journal for Numerical Methods in Engineering,1973,6(2):213-226.
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