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变结构参数下3-RPS并联机构性能分析
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四川省科技支撑计划项目(2017RZ0062)


Performance Analysis of 3-RPS Parallel Mechanism under Changing Structural Parameters
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    摘要:

    以典型3-RPS并联机构为研究对象,分析结构参数变化时机构的性能改变情况。基于运动学分析,推导机构雅克比矩阵;并以雅克比矩阵的条件数、最小奇异值作为机构性能衡量指标;选取两组变化结构参数,并结合MATLAB计算机构在绕X、Y轴±30°空间内雅克比矩阵的条件数、奇异值分布情况,绘制了机构性能指标三维网阵面以及奇异值分布情况。结果表明:该机构球面副圆周半径与转动副圆周半径之比越小机构性能越优,动平台初始高度与转动副圆周之比越大机构性能越差,两个参数的增加将使机构各向同性越差。研究结果为3-RPS并联机构结构设计和优化提供了理论依据。

    Abstract:

    Taking the typical 3-RPS parallel mechanism as the research object, the performance change of the mechanism was analyzed when the structural parameters were changed. Based on kinematics analysis, the Jacobian matrix of the mechanism was derived. The condition number and the minimum singular value of the Jacobian matrix were used as the performance parameters. Two sets of structural parameters were selected, the condition number and singular value distribution of the Jacobian matrix in the ±30° space around the X and Y axes were calculated combined with MATLAB. The threedimensional mesh and the singular value distribution of the mechanical performance parameters were drawn. The results show that the smaller the ratio of the radius of the spherical pairs to the radius of the revolute pairs, the better the performance of the mechanism; an increase in two parameters will make the isotropic of mechanisms get worse. The research results provide a theoretical basis for the structural design and optimization of 3-RPS parallel mechanism.

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李小汝,黄娟,李兴慧.变结构参数下3-RPS并联机构性能分析[J].机床与液压,2019,47(20):155-159.
. Performance Analysis of 3-RPS Parallel Mechanism under Changing Structural Parameters[J]. Machine Tool & Hydraulics,2019,47(20):155-159

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  • 在线发布日期: 2020-03-12
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