The numerical results of the nonlinear formula were obtained by Runge-Kutta method, and we have also obtained the curve of diameter of the example.

应用龙格库塔法解非线性方程得到了该问题的数值解，给出了圆柱体随着柱体高度的直径变化曲线。

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The numerical results of nonlinear formula were obtained by the Runge-Kutta method, and we have also obtained the curve of the height of the example.

应用龙格库塔法解非线性方程得到了该问题的数值解，给出了截面高度随梁长的变化曲线。

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Since the equations are very stiff and nonlinear, the Runge-Kutta method with a variable step and the Treanor method was used respectively to solve the equations.

针对故障方程组的超强刚性和非线性特性问题， 研究了解决该问题的数学方法。

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