求解车桥耦合振动问题的一种数值方法

Numerical Method for Vehicle-Bridge Coupled Vibrations

摘要: 推导了二分之一车模型作用下简支梁的车桥耦合振动方程,利用MATLAB强大的数值计算功能,结合 Ruge-Kutta法微分方程数值求解原理,编制了基于ODE系列函数求解系统运动方程组的二次开发函数,对车桥耦合问题进行数值求解.与Nemark-β法相比较,在保证精度的前提下,缩短了计算所需的时间.
- 振动 /
- 数值计算 /
- Ruge-Kutta法
Abstract: The coupled vibration functions for a half railway vehicle model running on a simply sported beam bridge were derived. Based on Ruge-Kutta method, the coupled vibration functions were solved with the ODE serial functions of MATLAB. Compared with Nemark-βmethod, the proposed method has higher computing efficiency with the same accuracy.
- vibration /
- numerical solution /
- Ruge-Kutta method

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