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含六桿組八桿機構曲柄存在域自動生成方法
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國家重點研發(fā)計劃項目(2022YFD2100403-2)


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

    對于含六桿組八桿機構的曲柄存在域問題,,給出了一種自動生成的方法。該方法首先基于型轉化法數值迭代計算出機構所有可能存在的初始位置,;然后在每個初始位置的基礎上,,再次采取型轉化法數值迭代進行運動分析,有效避免了高次非線性方程多解無法判斷最優(yōu)解的問題,;最后用雅可比矩陣法篩選出無分支缺陷的回路,。機構若滿足原動件旋轉整周均能夠求出位置解,則該機構在此回路中存在曲柄,?;谏鲜隼碚撘罁捎肰C++和OpenGL聯合編程,,能夠在給定區(qū)域內自動生成該類八桿機構曲柄存在域,。同時軟件能夠進行運動仿真,驗證了方法的正確性,,為含六桿組八桿機構曲柄存在域的自動生成方法奠定了理論基礎,。

    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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盧天齊,王也,王世光,張克,李永輝,呂黃珍.含六桿組八桿機構曲柄存在域自動生成方法[J].農業(yè)機械學報,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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  • 在線發(fā)布日期: 2023-11-10
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