【摘要】 采用考虑拉索重力弦向分力的拉索抛物线垂度曲线,建立了端部激励下拉索空间非线性振动平衡微分方程;以面内横向激励作用下拉索振动为例,采用数值方法分析了拉索在端部激励作用下空间非线性振动特性,证实了拉索产生耦合振动的可能性;讨论了阻尼比和激励幅值对拉索耦合振动的影响.研究发现:拉索发生内共振时对激励幅值范围有一定要求,较大阻尼能抑制内共振的发生,而当内共振发生时面外振动的激起需要一定时间,阻尼使激起面外振动所需时间增长.更多还原

【Abstract】 The chord component force of the cable self-weight in sag curve was considered.Nonlinear vibration balance differential equation was deduced.Taking in-plane transverse excitation as an example,the nonlinear vibration characteristics under end excitation were analyzed by numerical method.The result shows that this coupled vibration is possible.The influence of the coupled vibration by excitation amplitude and damping ratio was researched.The result indicates that the occurrence of internal resonance has special requirements on the range of excitation amplitude,and the large damping ratio can inhibit the occurrence of internal resonance.When the internal resonance occurs,the production of out-of-plane vibration will take some time,and the damping ratio will prolong the time.更多还原