【摘要】 根据小垂度拉索的受力特性,给出其在平面内发生横向振动的非线性自由振动方程,该方程不仅反映了拉索的Irvine参数及各模态对其自振频率的影响规律,也反映了拉索各模态之间的相互耦合作用。针对拉索发生单模态振动的情况,将上述的方程简化为一个带平方项的Duffing方程,并运用平均法给出了它的近似解析解。最后,结合具体的工程实例,分析了拉索的有关动力特性,并与数值方法进行了对比。更多还原

【Abstract】 A set of governing equations of non-linear free transverse in-plane vibration of an inclined cable is presented according to the vibration characteristics of small sag cable. The equations reflect the effects of the cable’s Irvine parameter and vibration modes on its natural frequencies, and internal non-linear couplings between the cable modes. When single mode vibration occurs, the governing equations are simplified as a classical Duffing equation with a quadratic term. The averaging method is used to solve approximately the Duffing equation. As an example, dynamic responses of a practical inclined cable are analyzed. The results are verified by numerical results.更多还原