|国家预印本平台
首页|六自由度机构弹性变形分析

六自由度机构弹性变形分析

nalysis of elastic deformation of 6-DOF mechanism

中文摘要英文摘要

针对某风洞捕获轨迹试验机构因受外载荷引起弹性变形,从而影响机构运动精度的问题,提出联合Solidworks与AnsysWorkbench,求出不同位姿时机构的刚度系数矩阵,利用RBF径向基函数进行拟合预测的方法。推导出机构运动学逆解;在机构末端增加辅助钢板,采用Solidworks与AnsysWorkbench联合仿真得到辅助钢板四个顶点在受外载荷情况下分别在三个平动方向的变形,将四个点的变形取平均值得到机构末端面中心三个平动方向的变形;通过建立风洞坐标系、刚体固连坐标系、变形坐标系对仿真得到的变形数据进行处理,采用无限小转动原理,得到机构末端中心在三个转动方向的变形;由弹性变形理论得到机构刚度系数矩阵;运用RBF径向基函数对所求刚度进行拟合预测。通过仿真所得刚度系数矩阵与相同位姿下预测的刚度系数矩阵相对比,两者之间误差很小,满足精度要求。

iming at the problem that a wind tunnel capture trajectory test mechanism is subject to elastic deformation due to external load, which affects the motion accuracy of the mechanism, a combination of Solidworks and AnsysWorkbench is proposed to obtain the stiffness coefficient matrix of the mechanism in different poses. The RBF radial basis function is used to simulate Method of forecasting. The inverse solution of the kinematics of the mechanism is derived; an auxiliary steel plate is added at the end of the mechanism, and the joints of Solidworks and AnsysWorkbench are used to obtain the deformation of the four vertices of the auxiliary steel plate in three translational directions under external load. The average value is the deformation in the three translation directions of the center of the end surface of the mechanism. The simulation deformation data is processed by establishing a wind tunnel coordinate system, a rigid body fixed coordinate system, and a deformation coordinate system. The infinitely small rotation principle is used to obtain the end center of the mechanism. Deformation in three directions of rotation; the stiffness coefficient matrix of the mechanism is obtained from the theory of elastic deformation; and the RBF radial basis function is used to fit and predict the required stiffness. The stiffness coefficient matrix obtained through simulation is compared with the predicted stiffness coefficient matrix in the same pose. The error between the two is small, which meets the accuracy requirements.

谢志江、张建、郭咏楠、孙小军

机械学机械设计、机械制图机械制造工艺

六自由度机构弹性误差静力学仿真刚度系数矩阵拟合

Six-degree-of-freedom mechanismelastic errorstatic simulationstiffness coefficient matrixfitting

谢志江,张建,郭咏楠,孙小军.六自由度机构弹性变形分析[EB/OL].(2020-02-20)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/202002-93.点此复制

评论