A precise integration method for solving coupled vehicle–track dynamics with nonlinear wheel–rail contact
A precise integration method for solving coupled vehicle–track dynamics with nonlinear wheel–rail contact
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DOI：
10.1016/j.jsv.2012.05.033
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发表时间：
2012-10
影响因子：
4.7
通讯作者：
Jian Zhang;Q. Gao;Shujun Tan;W. Zhong
中科院分区：
文献类型：
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作者：
Jian Zhang;Q. Gao;Shujun Tan;W. Zhong
提出了一种求解轮轨接触非线性车辆-轨道耦合动力学模型的新方法。车辆简化为多刚体模型，轨道简化为三层梁模型。在轨道模型中，钢轨被假定为由离散轨枕支撑的欧拉-伯努利梁。采用赫兹非线性接触理论将车辆模型和轨道模型耦合起来，车辆子系统和轨道子系统的接触力用拉格朗日插值多项式近似。采用精细积分法计算了大尺度车辆-轨道耦合模型的响应。基于轨道的周期性，提出了一种更有效的算法来计算轨道子系统解的指数矩阵和相关矩阵。数值算例验证了该方法的计算精度和效率。
A new method is proposed as a solution for the large-scale coupled vehicle–track dynamic model with nonlinear wheel–rail contact. The vehicle is simplified as a multi-rigid-body model, and the track is treated as a three-layer beam model. In the track model, the rail is assumed to be an Euler-Bernoulli beam supported by discrete sleepers. The vehicle model and the track model are coupled using Hertzian nonlinear contact theory, and the contact forces of the vehicle subsystem and the track subsystem are approximated by the Lagrange interpolation polynomial. The response of the large-scale coupled vehicle–track model is calculated using the precise integration method. A more efficient algorithm based on the periodic property of the track is applied to calculate the exponential matrix and certain matrices related to the solution of the track subsystem. Numerical examples demonstrate the computational accuracy and efficiency of the proposed method.