【摘要】 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．更多还原

【Abstract】 The closed-form solution of the reverse force analysis of a special planar three-springsystem under the planar arbitrarily forces is studied.A 54th degree polynomial in one unknownis obtained finally,and all of variations are gotten through others algebra equations. The fifty-four groups of solutions are required.This system has at most fifty-four solutions theoreticallyin static equilibrium with the given static external forces(the simplified main forces and themain moment are constant about the coordinate origin).By verifying numerically,there are on-ly ten groups of real solutions in fifty-four groups of solutions. In them,two groups of real so-lutions have positive lengths of the springs. So,the equilibrium positions that the system canget practically are only few.更多还原