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通过把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。
By dividing the movement of the mast structure into two types of integral movement and partial movement, the modal analysis is carried out. The overall movement is the three-dimensional movement of the mast including quasi-static movement of the cable. The local movement is the modal movement of the cable fixed at both ends . Combining these two motions with the Lagrangian principle of motion leads to a nonlinear coupling between these two motions and between the modal motions. Through the time history analysis of the example, the coupling effect of each modal motion is also verified.