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并聯(lián)機器人可操作度分析的蒙特卡羅方法
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國家科技重大專項資助項目(2012ZX04002-061);摩擦學國家重點實驗室基金資助項目(SKLT11C7)


Monte Carlo Method for Manipulability Analysis of Parallel Manipulators
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    摘要:

    對蒙特卡羅法生成的并聯(lián)機器人工作空間上的隨機點分布不均勻性進行了研究,基于多維隨機變量函數(shù)的分布密度公式,推導出蒙特卡羅法生成的并聯(lián)機器人工作空間點概率密度與雅可比行列式的關系式,建立了輸出空間概率密度與并聯(lián)機器人可操作度之間的關系。以平面兩自由度5R并聯(lián)機器人為研究對象,采用蒙特卡羅法分析了其工作空間上的可操作度,并根據(jù)工作模式將輸入空間劃分成4個子空間,指出了子空間交界處的逆向奇異性。仿真結果表明,蒙特卡羅法是分析并聯(lián)機器人可操作度和逆向奇異的一種有效方法。

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    Nonuniform distribution characteristics of random points generated by Monte Carlo method in the workspace of parallel manipulators were discussed. Based on the density of distribution of the multiple random variable function, the relationship between Jacobian matrix and the probability density function of workspace points generated by Monte Carlo method was deduced, and the relationship between the probability density of the output space and the manipulability of the parallel manipulator was also constructed. The manipulability of a 2-DOF 5R parallel manipulator was analyzed based on the Monte Carlo method. According to the working mode of the robot, the input space was divided into four subspaces, and the inverse singularity occurred in the boundary among different subspaces was pointed out. Simulation experiment illustrated that the Monte Carlo method could work well for manipulability analysis of parallel manipulators.

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張建富,王健健,馮平法,李鐵民.并聯(lián)機器人可操作度分析的蒙特卡羅方法[J].農業(yè)機械學報,2013,44(7):269-273. Zhang Jianfu, Wang Jianjian, Feng Pingfa, Li Tiemin. Monte Carlo Method for Manipulability Analysis of Parallel Manipulators[J]. Transactions of the Chinese Society for Agricultural Machinery,2013,44(7):269-273.

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  • 在線發(fā)布日期: 2013-06-20
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