基于齐次线性方程组的工件自由度分析技术  

Analysis technology of degrees of freedom of workpiece based on homogenous linear equations

作　　者：秦国华[1] 洪连环[2] 吴铁军[2] 

机构地区：[1]西北工业大学中法并行工程联合实验室,陕西西安710072 [2]南昌航空大学航空与机械工程学院,江西南昌330063

出　　处：《计算机集成制造系统》2008年第3期466-469,共4页Computer Integrated Manufacturing Systems

基　　金：航空科学基金资助项目(2006ZE56006);中国博士后科学基金资助项目(20070411142);国家自然科学基金资助项目(10676028);航空支撑制造技术研究基金资助项目(61901090104);江西省教育厅科学技术基金资助项目(2007-172);南昌航空大学科研基金资助项目(EA200503139)~~

摘　　要：工件自由度的合理约束是夹具设计的关键,基于定位原理的数学模型,根据齐次线性方程组解结构的性质,首先推导了三个定位方案的合理性判据;然后,基于刚体运动学,建立了描述加工要求和理论约束自由度之间关系的自由度模型;最后,利用典型实例详细讨论了自由度模型及合理性判据的分析应用过程。Reasonable constraint of degrees of freedom of the workpiece was key to design the fixture. Therefore, based on locating principle model, three judgment theorems were firstly proposed to analyze the correctness of the locating scheme according to the solution construction of homogenous linear equations. Secondly, based on rigidbody kinematics, the model of degree of freedom was formulated to describe the relationship between the machining requirement and the theoretical constraint degree of freedom. Finally, a typical example was used to study the usage of the proposed model of degree of freedom and judgment theorem for locating correctness.

关 键 词：自由度 定位方案 定位原理 齐次线性方程组 解结构 

分 类 号：TG75[金属学及工艺—刀具与模具]