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船桥碰撞动力响应的准确求解是工程界十分关心的问题.基于多柔体系统动力学理论,考虑碰撞位置接触的非线性及桥梁结构阻尼,对船桥多柔体碰撞模型进行了改进,建立了非线性Lagrange微分方程组.采用自适应Runge-Kutta法对该方程组进行数值求解,得到系统时域内的动力响应.将考虑与未考虑接触非线性及结构阻尼的计算结果分别进行了对比分析,同时将计算结果与主要规范和有限元方法进行了比较.结果表明:考虑接触非线性及结构阻尼后,计算得到的动力响应结果与规范和有限元方法的计算值较为接近,通过与有限元方法的对比验证了本文方法的合理性.
Based on the theory of flexible multi-body system, taking into account the nonlinear contact of the collision location and the structural damping of the bridge, the multi-body collision model of the bridge is improved and established The nonlinear Lagrange differential equations are solved by the adaptive Runge-Kutta method and the dynamic response in the time domain is obtained.The calculated results are compared with those without considering the contact nonlinearity and the structural damping , And the results are compared with the main specifications and the finite element method.The results show that the calculated dynamic response is in good agreement with the standard and finite element method after considering the nonlinearity and the structural damping, The comparison of the methods verifies the rationality of this method.