斜张索在移动载荷作用下的动力分析

Vibration Analysis of Tightened Slope Cables Subjected to Moving Load

首先讨论斜张索的自身平衡状态，以此为参考状态推演斜张索在移动荷载作用下三维运动微分方程．根据作用荷载的特点，将三维问题简比为二维问题．以黄山索道为实例，用伽辽金法对运动进行近似计算．通过本文的研究，建立了斜张索动力分析的基本理论和方法，获得小变形情况下张索动力响应和动张力的变化规律．为张索大变形等情况的研究奠定了基础．

his paper first discusses the self-equilibrium state of tightened slope cables which are not subjected to external loads.With that state as the reference state,the differential equations of three- dimensional motion of a tightened slope cable subjected to a moving load are de- duced.According to the characteristics of the external load , the three-dimensional equations are reduced to two-dimensional equations.The cable of Huang Shan mountain is taken as an example to calculate the dynamic response and dynamic tension of the cable using the Galerkin method.In the present study,the basic theory and method are established,and the variation law of the dynamic response and dynamic tension is found for small deformation of cables. The paper has laid the foundation for the study of large deformation of cables.