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5—CS空間剛體導(dǎo)引機(jī)構(gòu)缺陷判定
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國(guó)家自然科學(xué)基金項(xiàng)目(51275034)


Defect Judgment of 5—CS Rigid-body Guidance Mechanism
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    摘要:

    提出了一種能實(shí)現(xiàn)空間剛體導(dǎo)引的5—CS空間并聯(lián)機(jī)構(gòu),并給出了綜合該類機(jī)構(gòu)時(shí)運(yùn)動(dòng)缺陷的判定方法,。首先使用旋量理論推導(dǎo)5—CS機(jī)構(gòu)完整雅可比矩陣的計(jì)算公式,,并計(jì)算機(jī)構(gòu)在給定位置的雅可比矩陣行列式的值,,如果各位置的雅可比矩陣行列式值的符號(hào)發(fā)生變化則機(jī)構(gòu)存在缺陷,如果沒(méi)有發(fā)生變化則應(yīng)用牛頓迭代法對(duì)各給定位置區(qū)間進(jìn)行機(jī)構(gòu)的位置正解分析,,以確定在區(qū)間內(nèi)是否存在分支缺陷和回路缺陷,。運(yùn)動(dòng)缺陷判定過(guò)程中會(huì)對(duì)機(jī)構(gòu)在給定的位置區(qū)間內(nèi)運(yùn)動(dòng)過(guò)程中完整雅可比矩陣的變化情況進(jìn)行分析,如果存在完整雅可比矩陣行列式為零的位置(即奇異位形),,則機(jī)構(gòu)存在分支缺陷,,如果給定位置在不同回路中,則機(jī)構(gòu)存在回路缺陷,。運(yùn)動(dòng)缺陷判定是機(jī)構(gòu)綜合能順利進(jìn)行的方法基礎(chǔ),。本文還提出了雙驅(qū)動(dòng)控制方法以解決機(jī)構(gòu)的分支缺陷問(wèn)題。最后舉例說(shuō)明了5—CS機(jī)構(gòu)的運(yùn)動(dòng)缺陷判定過(guò)程,。

    Abstract:

    A 5—CS rigid-body guidance linkage was proposed. A method to judge the defects of 5—CS linkage was proposed to solve the problems of defect judgment met in the process of rigid-body guidance design. Through calculating the Jacobian matrix’s determinant values of the given positions, it can be found out whether the signs of determinant values were changed at the given positions. If the signs were changed, the linkage had defects. If not, a curve tracking technique which based on Newton method was used to get the forward position solutions and then calculate the Jacobian matrix’s determinant values of the positions between the given positions. Based on the calculations, we can know whether there were positions which determinant values are zeros between the given positions. When the Jacobian matrix’s determinant value was zero, the linkage’s singular configuration occurred. According to the trajectory, we can clearly know whether the linkage has circuits or order defects. For solving the branch defect, the method of drives combinations was proposed. When the parameters of the linkage at a position were given, different Jacobian matrix’s determinant values can be got by selecting different drivers. So the branch defects can be avoided by changing the drive before the singular positions. Finally, a synthesis example was provided to illustrate the defect judgment process of 5—CS linkage.

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胡俊杰,韓建友,崔光珍.5—CS空間剛體導(dǎo)引機(jī)構(gòu)缺陷判定[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2016,47(12):398-407,,415. Hu Junjie, Han Jianyou, Cui Guangzhen. Defect Judgment of 5—CS Rigid-body Guidance Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(12):398-407,415.

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  • 收稿日期:2016-05-05
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  • 在線發(fā)布日期: 2016-12-10
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