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多级伸缩油缸多个中间支承位置的最优化计算问题是个多维隐式约束（含有特征方程）的非线性规划问题．本文根据此问题中临界力关于杆长的单调性质．构造了两个算法，把该问题等价地转化为一系列一维无约束最优化问题．再用特殊的对分法求其最优解．因此，对于这类问题．从理论上与上机实践均表明．本文所述方法简单，计算量小，收敛速度快．
The optimization problem of multiple intermediate support positions for multi-stage telescopic cylinders is a nonlinear programming problem with multidimensional implicit constraints (including characteristic equations). In this paper, the critical force of the problem is related to the monotonic nature of the rod length. Two algorithms are constructed to convert the problem equivalently into a series of one-dimensional unconstrained optimization problems. Then use a special halve method to find the optimal solution. Therefore, for such problems. Both theoretically and on machine practice show. The method described in this paper is simple, the calculation is small, and the convergence speed is fast.