摘要
桥梁与车辆的耦合振动方程为时变系数微分方程,用解析的方法求解这类问题有很大的局限性,解决这类问题的最为有效的工具之一是数值方法中的有限单元法。对移动荷载这种简化模型在时程积分时采用了精细积分法,为了保持精细时程积分法的高精度,对动力方程中的非齐次项进行离散计算时选用了积分精度较高的科茨积分格式,对于Euler-Bernoulli梁单元采用二节点的Hermite插值函数,模拟了移动常量荷载、移动简谐荷载作用下的等截面和变截面简支梁桥模型的振动情况,并与解析的结果及一些其它的数值解法进行了对比,显示了采用精细时程积分时对动力响应过程的数值模拟的高精度。
Vibration differential equations of bridges with moving vehicles is a time-variation system, there is a quite localization for solving the kind of questions by some analysis methods. Among of numerical methods the Finite Element Method is one of available methods for the questions. For moving loads of which a simple computing model the precise time integral method was used in dynamic response, and a high precision Cotes integral format was adopted in allusion to the inspirit vectors of dynamic equations. Euler-Bernoulli beam element was adopted and Hermite interposition function of two-nodes was utilized. Simple supported beam models with the equal and/or changed section subjected a moving constant or harmonic load were simulated, the simulation results had been compared with some analysis solution and some other numerical method solutions,it was shown a high precision for dynamic response by virtue of the precise time integral method.
出处
《科技通报》
北大核心
2009年第1期83-88,共6页
Bulletin of Science and Technology
关键词
精细积分
桥梁
变截面
移动荷载
动力响应
数值模拟
precise integral
bridge
non-uniform section
moving load
dynamic response
numerical simulation
