首页|Stewart型并联机器人的奇异对其运动精度的影响

Stewart型并联机器人的奇异对其运动精度的影响

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以9-3 Stewart型并联机器人为研究对象,分析其在机构接近奇异位形时动平台运动精度的情况.通过计算并联机器人速度Jacobian矩阵的行列式得到奇异点的坐标.通过虚拟样机实验,得到动平台参考点位置反解和正解计算的相对误差.用转动Jacobian矩阵条件数的倒数来度量机构接近奇异的程度,并分析该程度与上述相对误差之间的映射关系.研究结果表明:当指标值大于7.027×10-5时,正、反解的相对误差可忽略不计,这为奇异规避、路径规划等后续工作提供了理论参考.
Effect of Singularity on Motion Accuracy of Stewart Parallel Robot
Taking 9-3 Stewart parallel robot as the research object,analyzes the motion accuracy of moving platform when mechanism is close to singular configuration.The determinant of velocity Jacobian matrix of the parallel robot is calculated to abtain the coordinates of singular points.The virtual prototype experiment is conducted to gain the relative error of the inverse solution and positive solution of the reference point of the moving platform.The reciprocal of the condition number of the rotating Jacobian matrix is used to measure the degree of the mechanism approaching singularity,and the mapping relationship between this degree and the above relative error is analyzed.The results show that when the index value is greater than 7.027x10-5,the relative error of the positive and negative solutions can be ignored,which provides a theoretical reference for the follow-up work such as singularity avoidance and path planning.

parallel robotpositive solutioninverse solutionmotion accuracysingular configurationJacobian matrix

陈垚、尤晶晶、叶鹏达、王澍声、黄宁宁

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南京林业大学机械电子工程学院,江苏南京 210037

南京航空航天大学江苏省精密与微细制造技术重点实验室,江苏南京 210016

常州大学机械与轨道交通学院,江苏常州 213164

并联机器人 正解 反解 运动精度 奇异位形 Jacobian矩阵

国家自然科学基金项目国家留学基金项目江苏省高等学校大学生创新创业训练计划项目

51405237201908320035202210298016Z

2024

机械制造与自动化
南京机械工程学会 南京机电产业(集团)有限公司

机械制造与自动化

CSTPCD
影响因子:0.29
ISSN:1671-5276
年,卷(期):2024.53(3)