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本文在进行了荷载分配以后，从各抗侧力结构的与第二类稳定问题相对应的二阶分析微分方程出发，推导了整体结构的稳定及二阶分析微分方程。用Ｇａｌｅｒｋｉｎ法求解方程，获得整体结构的最小临界荷载、失稳形式和二阶分析时各抗侧力结构的位移与内力。最后给出数字算例，并分别与第一类失稳时的最小临界荷载、失稳形式，一阶分析时的位移与内力进行了比较，从而引出相应的结论。
In this paper, after the load distribution, the stability of the overall structure and the second-order analytical differential equation are deduced from the second-order analytic differential equations corresponding to the second-type stability problems of the lateral resistance structures. Galerkin’s method is used to solve the equation to obtain the minimum critical load of the whole structure, the instability form, and the displacement and internal force of each side-resistance structure in the second-order analysis. Finally, a numerical example is given, which is compared with the first type of minimum critical loads and instabilities in destabilization, the displacements and internal forces in the first-order analysis, and leads to corresponding conclusions.