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将桅杆结构的运动分为整体运动和局部运动两种，对其进行模态分析，整体运动为包含索的拟静态运动的桅杆的三维运动，局部运动为两端固定的索的模态运动．用拉格朗日运动原理合并这两种运动，从而得到了这两种运动之间以及各模态运动之间的非线性耦合．并通过算例的时程分析，同样验证各模态运动的耦合作用．
The movement of the mast structure is divided into two kinds: the overall movement and the local movement. The modal analysis is performed on the movement of the mast. The overall movement is the three-dimensional movement of the mast, which includes the quasi-static movement of the cable, and the local movement is the modal movement of the fixed cable at both ends. Using Lagrange’s principle of motion to combine these two kinds of motions, the nonlinear coupling between these two kinds of motions and between the modal motions is obtained. And through the time-history analysis of the examples, the coupling effects of each modal motion are also verified.