移动质量作用下桥梁响应的精细积分

Precise integration of bridge responses due to a moving mass

高效地计算移动质量过桥问题是解决车桥振动分析、优化、控制等一系列问题的基础．针对常规的数值方法(例如Newmark方法)在求解上述问题时存在的缺陷提出了3种精细积分格式．它们在每一个时间步内不但允许移动质量空间的连续移动,而且比较真实地模拟了由路面不平和桥梁竖向位移所产生的移动质量惯性力．与Newmark方法计算结果的比较表明,灵活地应用不同形式的精细积分格式可以使这类基本问题的分析精度和计算效率有很大的提高．

As a basic problem for vibration analysis, optimization and control of the vehicle-bridge coupled system, effective calculation of moving mass passing through a bridge is very important. Three precise integration formats for effectively solving the dynamic responses of a beam due to a moving mass are presented. They can overcome the shortcomings of the conventional numerical integration methods, such as the well-known Newmark method. In each time step, not only the moving mass can move continuously, but also the inertia force of the moving mass caused by the road surface roughness and the vertical displacement of the beam can be regarded as continuous processes. Numerical results show that the proposed methods are very efficient. Compared with Newmark method, much improvement in the analytical precision and computational efficiency can be obtained by properly selecting and using these methods .