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含六桿組八桿機(jī)構(gòu)曲柄存在域自動(dòng)生成方法
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國(guó)家重點(diǎn)研發(fā)計(jì)劃項(xiàng)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(duì)于含六桿組八桿機(jī)構(gòu)的曲柄存在域問(wèn)題,,給出了一種自動(dòng)生成的方法,。該方法首先基于型轉(zhuǎn)化法數(shù)值迭代計(jì)算出機(jī)構(gòu)所有可能存在的初始位置,;然后在每個(gè)初始位置的基礎(chǔ)上,再次采取型轉(zhuǎn)化法數(shù)值迭代進(jìn)行運(yùn)動(dòng)分析,,有效避免了高次非線性方程多解無(wú)法判斷最優(yōu)解的問(wèn)題,;最后用雅可比矩陣法篩選出無(wú)分支缺陷的回路。機(jī)構(gòu)若滿足原動(dòng)件旋轉(zhuǎn)整周均能夠求出位置解,,則該機(jī)構(gòu)在此回路中存在曲柄,。基于上述理論依據(jù),,采用VC++和OpenGL聯(lián)合編程,,能夠在給定區(qū)域內(nèi)自動(dòng)生成該類八桿機(jī)構(gòu)曲柄存在域。同時(shí)軟件能夠進(jìn)行運(yùn)動(dòng)仿真,,驗(yàn)證了方法的正確性,,為含六桿組八桿機(jī)構(gòu)曲柄存在域的自動(dòng)生成方法奠定了理論基礎(chǔ)。

    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(jī)構(gòu)曲柄存在域自動(dòng)生成方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),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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