Stewart单三角平台的机构参数标定

Calibration for Mechanism Parameter of Stewart Single Triangle Platform

通过分析Stewart单三角平台机构各个运动副的安装误差和制造误差以及这些误差对Jacobian矩阵的影响,利用静力影响系数GFf和Jacobian矩阵之间的对偶关系,提出了基于广义力平衡原理Stewart单三角平台机构的标定方法。并运用该方法通过理论推导直接给出了参数标定的解析式,再结合最小二乘法拟合出实际的静力影响系数GFf,最终标定出各个铰链点的空间坐标。为提高并联机构平台的定位精度提供了一种强有力的方法。

A method based on generalized force principle which calibrates the Stewart single triangle mechanism was proposed with adopting the dual relation between Jacobian matrix and static influence coefficient Gfr, and through analyzing both the installation errors and manufacturing errors of each kinematic pair and the influences to the certain Jacobian matrix on account of these errors. Mo- reover, analytical formulas calibrated by parameters were directly given through theoretical derivation by using this method, then the actual static influence coefficient Gfr was solved by combined with the least squares method, finally the space coordinates for each hinge point were calibrated. A powerful method is provided for improving the location accuracy of parallel mechanism platform.