茆尚权,沈阳超,李雪峰.连续梁桥多车复杂工况车桥耦合非线性动力分析[J].安徽建筑大学学报,2020,28(1):19-24 |
连续梁桥多车复杂工况车桥耦合非线性动力分析 |
Nonlinear Dynamic Analysis of Coupled Multi-Vehicles and ContinuousBridge System Under Complicated Conditions |
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DOI:10.11921/j.issn.2095-8382.20200104 |
中文关键词: 车桥耦合振动 连续梁桥 非线性 多车辆 匀加速 变加速 |
英文关键词: vehicle-bridge coupling vibration continuous bridge nonlinearity multiple vehicles constant acceleration variable acceleration |
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中文摘要: |
由于计算分析过程复杂,在考虑连续梁桥自身非线性和多车复杂行驶工况条件下的多车辆车-桥耦合
振动问题一直研究较少。改进经典单车模型,建立非线性多车辆车-桥耦合振动的数学模型。采用振型分解法
对方程组进行简化,运用Runge-Kutta 法进行非线性方程组编程求解,探讨了行车间距、多车匀速行驶、匀变
速行驶、变加速行驶等情况下对桥梁动态响应的影响。结果表明多车匀加速时桥梁动态响应较大,加速度值
与动态响应值成线性关系且后车较前车影响明显;而变加速行驶较匀加速行驶的动态响应值小,且单纯变加
速或变减速比先加速后减速行驶的动态响应值小。 |
英文摘要: |
Due to the complexity of the calculation process,the vehicle-bridge coupling vibration problem of multi-vehicle
was seldom studied considering the nonlinearity of the continuous beam bridge and the complex driving conditions.
By improving the classical single vehicle model,a mathematical model of nonlinear multi-vehicles and bridge coupling vibration
was established. The mode-superposition method was used to simplify the equations and the Runge-Kutta method
was used to solve the nonlinear equations. The dynamic response of the bridge was discussed which influenced by several
vehicles driving with different distance, constant speed, constant acceleration and variable acceleration. The results
showed that the dynamic response of bridge was larger when the multi-vehicle accelerated uniformly,and the acceleration
value was linear with the dynamic response value,and the influence of the rear vehicle was more obvious than that
of the front vehicle. The dynamic response value of variable acceleration driving was smaller than that of constant acceleration
driving,and that of simple variable acceleration or variable deceleration driving was smaller than that of accelerating
first and decelerating later. |
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