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冗余并聯(lián)機構運動學性能分析與優(yōu)化
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國家自然科學基金項目(51005138)、山東省優(yōu)秀中青年科學家科研獎勵基金項目(BS2012ZZ008),、山東省泰山學者建設工程專項資金項目(tshw20130956)和山東科技大學杰出青年基金項目(2011KYJQ102)


Kinematics Performance Analysis and Optimal Design of Redundant Actuation Parallel Mechanism
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    摘要:

    研究了一種4自由度—虎克鉸—移動副—球鉸/轉動副—移動副—虎克鉸冗余并聯(lián)機構的運動學性能評價指標和優(yōu)化設計,,建立了該并聯(lián)機構的雅可比矩陣,得到了該機構的3個不同的運動學性能評價指標,,即條件數(shù),、最小奇異值和可操作性,在此基礎上,,定義了評價不同位形下運動學綜合性能的全局靈巧度系數(shù)指標,,并分別研究了不同性能評價指標在并聯(lián)機構工作空間內的分布規(guī)律。最后,基于全局靈巧度指標,,利用遺傳算法對冗余驅動并聯(lián)機構的結構參數(shù)進行了優(yōu)化設計,。為該冗余并聯(lián)機構的結構設計奠定了理論基礎。

    Abstract:

    The kinematics performance analysis and optimal design of 4—UPS—RPU (4-universal joints-prismatic pairs-spherical joints/revolute joints-prismatic pairs-universal joints) redundant actuation parallel mechanism was studied. The Jacobian matrix of the mechanism was established, and the three dexterity measures, which were conditional number, the smallest singular value and operation, were obtained. On this basis, the global dexterity coefficient, which was used to evaluate the dexterity of various configurations, was defined. And the distribution of different dexterity measures when parallel mechanism was kept in different attitudes, such as in single attitude of different Euler angles α and different Euler angles β, at the same Euler angle α and different Euler angles β, in the workspace were analyzed, respectively. Finally, based on the global dexterity coefficient, the structure parameters which include the distribution angle on stationary platfrom and motion platform and the distribution radius on stationary platfrom and motion flatfrom, were optimized by genetic algorithm. Compared with the global dexterity coefficient before and after optimization, it was found that the global dexterity coefficient after optimization was bigger than that before optimization. Thus the kinematic performance of 4—UPS—RPU redundant actuation parallel mechanism after optimization was much better than that before optimization, and the optimized effect was obvious. This research can provide important theoretical base of the structure design for the redundant actuation parallel mechanism.

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陳修龍,蔣德玉,陳林林,王清.冗余并聯(lián)機構運動學性能分析與優(yōu)化[J].農業(yè)機械學報,2016,47(6):340-347. Chen Xiulong, Jiang Deyu, Chen Linlin, Wang Qing. Kinematics Performance Analysis and Optimal Design of Redundant Actuation Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(6):340-347.

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  • 收稿日期:2015-11-25
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  • 在線發(fā)布日期: 2016-06-10
  • 出版日期: 2016-06-10
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