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5—CS空間剛體導引機構缺陷判定
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國家自然科學基金項目(51275034)


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

    提出了一種能實現(xiàn)空間剛體導引的5—CS空間并聯(lián)機構,,并給出了綜合該類機構時運動缺陷的判定方法,。首先使用旋量理論推導5—CS機構完整雅可比矩陣的計算公式,,并計算機構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發(fā)生變化則機構存在缺陷,,如果沒有發(fā)生變化則應用牛頓迭代法對各給定位置區(qū)間進行機構的位置正解分析,,以確定在區(qū)間內是否存在分支缺陷和回路缺陷,。運動缺陷判定過程中會對機構在給定的位置區(qū)間內運動過程中完整雅可比矩陣的變化情況進行分析,,如果存在完整雅可比矩陣行列式為零的位置(即奇異位形),則機構存在分支缺陷,,如果給定位置在不同回路中,,則機構存在回路缺陷。運動缺陷判定是機構綜合能順利進行的方法基礎,。本文還提出了雙驅動控制方法以解決機構的分支缺陷問題,。最后舉例說明了5—CS機構的運動缺陷判定過程。

    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空間剛體導引機構缺陷判定[J].農業(yè)機械學報,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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