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平面四杆机构连杆上某点精确通过预定九个点位的轨迹综合问题是长期以来难以精确求解的课题,至今,多以近似求解法求解.本文将以求解多项式方程组的延拓法求解基于标准型方程而导出的高次多项式方程组,详细介绍了延拓法及其计算机算法,该方法的特点是能可靠地得到方程给的全部数学解系,但计算量大,本文最后给出了九精确点轨迹综合实例及其计算结果,经计算机动画模拟演示,说明计算结果是正确的.
Trajectory synthesis problem that a certain point on a planar four-bar linkage rod passes a predetermined nine points accurately is a problem that has been difficult to be accurately solved for a long time. So far, it has been solved by the approximate solution method. In this paper, the extended polynomial equations based on the standard equations are solved by the continuation method of solving polynomial equations. The continuation method and its computer algorithm are introduced in detail in this paper. The method is characterized by the reliable derivation of all mathematical However, the computational complexity is large. In the end of this paper, we give a comprehensive example of nine-point trajectories and their calculation results. The computer simulation shows that the calculation results are correct.