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应用数学机械化方法和计算机符号处理技术,对平面两自由度七杆机构位置分析问题进行了符号求解,该法通过对变量的排序、多项式分组、约化、构成基列、求余等运算,将一组非线性多项式方程化简为一个同价的三角化方程组,导出了单变量的8次代数方程,得到了封闭形式的解析解,并给出一个数字实例来说明这种方法。
The method of mathematical mechanization and computer symbol processing is used to solve the problem of position analysis of planar two-degree-of-freedom seven-bar mechanism. By sorting variables, dividing polynomials, reducing, A set of nonlinear polynomial equations is reduced to a set of trigonometric equations of the same valence. The univariate 8th generation algebraic equation is derived, and the closed form analytical solution is obtained. A numerical example is given to illustrate this method.