中文摘要：

利用索拱组合结构连接处的位移协调条件及边界条件,建立索拱组合结构的简化运动学控制方程,利用Galerkin模态截断,得到索拱组合结构的多模态离散动力学方程;利用多尺度摄动方法,分析索拱组合结构可能出现的内共振模式,并对索拱组合结构的内共振行为进行数值模拟。研究结果表明：当索拱的结构设计参数值都在非共振区域时,索拱的动力耦合作用非常弱,索和拱的动力学性质可不考虑耦合作用进行单独分析;若索拱的结构设计参数值在共振区域时,索拱出现内共振,索和拱之间相互激励,能量不断地在索拱之间交换,振幅此消彼长,其最大振幅远大于非共振时的最大振幅。

英文摘要：

Using the connection condition and boundary condition of the cable-stayed arch structure, the reduced governing equations of the cable-stayed arch structure were established. The Galerkin method was used to obtain the multi-model discrete forms of the equations of motion. Making use of the method of multiple scales, the appearance possible internal resonance of cable-stayed arch structure was analyzed, and the numerical simulation for the internal resonance of this system was carried out. The results show that when the cable-arch design parameters of the structure are in the non-resonance domain, the dynamic characteristics of the arch and cable can be analyzed separately. If the cable-arch designs parameters of the structure are in the resonance domain, the cable and the arch are in internal resonance, the energy exchanges between the cable and the arch, and their maximum amplitude is much larger than that of the non-resonant domain.