Geometric Deviation Modeling by Kinematic Matrix Based on Lagrangian Coordinate

查看全文 作　　者：LIU [1,2]Weidong;HU [1,2]Yueming;LIU [2]Yu;DAI [2]Wanyi

机构地区：[1]Guangzhou Institute of Modern Industrial Technology, South China University of Technology;[2]Engineering Research Centre for Precision Electronic Manufacturing Equipment, Ministry of Education,South China University of Technology

出　　处：《Chinese Journal of Mechanical Engineering》索引2015年第28卷第5期,共11页

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.51305140,61203060);Fundamental Research Funds of the Central Universities of China(Grant No.D2132730);Guangdong Provincial Science and Technology Planning Project of China(Grant No.2013B010402011) 摘　　要：Typical representation of dimension and geometric accuracy is limited to the self-representation of dimension and geometric deviation based on geometry variation thinking, yet the interactivity affection of geometric variation and gesture variation of multi-rigid body is not included. In this paper, a kinematic matrix model based on Lagrangian coordinate is introduced, with the purpose of unified model for geometric variation and gesture variation and their interactive and integrated analysis. Kinematic model with joint, local base and movable base is built. The ideal feature of functional geometry is treated as the base body; the fitting feature of functional geometry is treated as the adjacent movable body; the local base of the kinematic model is fixed onto the ideal geometry, and the movable base of the kinematic model is fixed onto the fitting geometry. Furthermore, the geometric deviation is treated as relative location or rotation variation between the movable base and the local base, and it's expressed by the Lagrangian coordinate. Moreover, kinematic matrix based on Lagrangian coordinate for different types of geometry tolerance zones is constructed, and total freedom for each kinematic model is discussed. Finally, the Lagrangian coordinate library, kinematic matrix library for geometric deviation modeling is illustrated, and an example of block and piston fits is introduced. Dimension and geometric tolerances of the shaft and hole fitting feature are constructed by kinematic matrix and Lagrangian coordinate, and the results indicate that the proposed kinematic matrix is capable and robust in dimension and geometric tolerances modeling. 关键词：拉格朗日坐标运动学模型矩阵几何公差建模偏差几何尺寸运动模型构造运动

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Geometric Deviation Modeling by Kinematic Matrix Based on Lagrangian Coordinate

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