端点位移激励下斜拉索非线性振动计算方法研究

摘要

According to the theory of cable dynamic ,a large amplitude nonlinear dynamic function of the cable with displacement excitation at the end point was deduced by considering the relations between different order modes of nonlinear vibration in cable .T he influence of different sag‐span ratio on vibra‐tion characteristics of the cable was discussed based on the parameters of a real cable .A numerical result based on cable nonlinear dynamic function was calculated by Runge‐Kutta method ,proved the reliability of the theoretical model ,by comparing with the result of nonlinear FEM dynamic time‐history integral .%考虑拉索不同阶模态大幅振动之间的耦合效应，根据拉索的振动理论，详细地推导了单根拉索在端点位移激励下发生大幅振动时的非线性振动方程。根据某实际斜拉桥拉索参数，讨论了不同垂跨比对拉索振动特性的影响。使用四阶Runge‐Kutta法求解拉索的非线性振动方程，通过对比有限元模型的非线性动力时程积分数值计算结果，验证了理论模型的可靠性与适用性。