含六杆组八杆机构曲柄存在域自动生成方法
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国家重点研发计划项目(2022YFD2100403-2)


Automatic Generation Method for Determining Crank Existence Region of Eight-bar Linkage with Six-bar Group
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    摘要:

    对于含六杆组八杆机构的曲柄存在域问题,给出了一种自动生成的方法。该方法首先基于型转化法数值迭代计算出机构所有可能存在的初始位置;然后在每个初始位置的基础上,再次采取型转化法数值迭代进行运动分析,有效避免了高次非线性方程多解无法判断最优解的问题;最后用雅可比矩阵法筛选出无分支缺陷的回路。机构若满足原动件旋转整周均能够求出位置解,则该机构在此回路中存在曲柄。基于上述理论依据,采用VC++和OpenGL联合编程,能够在给定区域内自动生成该类八杆机构曲柄存在域。同时软件能够进行运动仿真,验证了方法的正确性,为含六杆组八杆机构曲柄存在域的自动生成方法奠定了理论基础。

    Abstract:

    As planar eight-bar linkages can achieve a more complex kinematic trajectory curve and satisfy the needs of practical applications better in the field of agricultural machinery, an automatic generation method for determining the crank existence region of an eight-bar linkage with a six-bar group was hereby proposed. Compared with the direct solution method of position equations, the numerical iteration solution of the type transformation method (NISTTM) was proved to be more simple in solution programme and more effective in solution time: firstly, all possible initial position solutions of the linkage were solved based on NISTTM;then, based on each initial position solution, NISTTM was also adopted for kinematic analysis, effectively avoiding the problem of higher-order nonlinear equations failing to determine the optimal solution for multiple solutions;finally, the loop without branch defects was screened by using the Jacobian matrix method. The crank can exist in the loop when the position solutions of the linkage can be obtained for the whole rotation cycle of the driving link. Based on the above theoretical basis, the crank existence region of an eight-bar linkage with a six-bar group could be automatically generated in the given region by a VC++ program combined with OpenGL. The numerical example justified the simplicity, effectiveness, and practicability of this method, which can help the designer master the distribution of the crank existence region and be guided to complete the analysis task with no difficulty quickly.

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卢天齐,王也,王世光,张克,李永辉,吕黄珍.含六杆组八杆机构曲柄存在域自动生成方法[J].农业机械学报,2023,54(11):440-450. LU Tianqi, WANG Ye, WANG Shiguang, ZHANG Ke, LI Yonghui, Lü Huangzhen. Automatic Generation Method for Determining Crank Existence Region of Eight-bar Linkage with Six-bar Group[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(11):440-450.

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  • 收稿日期:2023-04-22
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  • 在线发布日期: 2023-11-10
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