迄今为止,精细积分法都是应用于荷载作用位置固定不变的问题。本文将精细积分法推广到荷载作用点位置随时间而变化的情形,按有限元方法计算了桥梁受移动荷载作用时的动力响应,并与常规的Newmark方法、解析解做了比较。数值结果表明,精细积分法按本文的策略推广后,计算精度和效率均比通常的数值积分方法得到显著的提高。
The precise integration method has so far be applied to problems with fixed load positions. In this paper, PIM (Precise Integration Method) is extended to problems with moving loads. Numerical results are compared with those due to the analytical method and Newmark method. It is shown that the extended PIM has satisfactory precision and very high efficiency, and is quite useful in the analysis of the dynamic response of coupled vehicle-bridge problems.