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研究了平面任意力系作用下平面特殊三簧系统的静力逆分析的解析解，最终得到了一元五十四次代数方程，并通过其它代数解析式求出了所有变量，得到了５４组解．理论上，此系统在给定静力（对定系原点简化的主矢主矩为常量）作用下达到平衡时的解最多有５４组．在数值实例验证中发现，５４组根中一般只有１０组实根，其中有两组实根弹簧杆长度为正值，即在实用中此系统能达到的平衡状态只有很少几种．
The analytic solution of the static inverse analysis of planar special three-spring system under plane arbitrary force is studied. Finally, the one-half fifty-four algebraic equation is obtained and all the variables are obtained by other algebraic analytic solutions, and 54 sets of solutions are obtained . In theory, there are up to 54 groups of solutions for this system when equilibrium is reached for a given static force (the principal principal moments of simplification for the origin of the set of origin are constants). In the verification of numerical examples, there are generally only 10 groups of roots in the 54 groups of roots. Among them, the lengths of the two groups of solid root bars are positive, that is, there are only a few balance states that can be achieved by the system in practice.