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本文以理想桁架节点笛卡尔坐标为未知量，全面建立了复杂不稳定空间展开折叠桁架结构的几何约束方程，并推导出相应的几何约束Jacobi矩阵，建立了线性稳定过程分析的理论与方法，阐明了稳定过程的力学机理，明确提出稳定目标函数，且分析了稳定状态的力学特点，并考虑了几何约束二阶项对稳定过程解的影响。最后，数值算例验证了该方法、程序的正确性与适用性。
In this paper, the geometric constraint equations of the folded truss structure with complex and unstable space are established based on the Cartesian coordinates of the ideal truss nodes as unknowns, and the corresponding geometric constraint Jacobi matrices are deduced. The theory and method of linear stability analysis are established. The mechanics mechanism of steady process is put forward, and the stable objective function is put forward clearly. The mechanics characteristics of steady state are analyzed. The influence of second order term of geometric constraint on the stability of steady process is also considered. Finally, numerical examples demonstrate the correctness and applicability of this method and procedure.