基于线性状态空间模型的多工位尺寸偏差流建模与分析

为了解决在传统多工位制造系统中,描述产品尺寸偏差传递的状态空间模型中的系统矩阵隐式表示且存在着非线性因子的问题,在定义零件坐标系、夹具坐标系以及机床坐标系的基础上,用表面方向矢量、定位方向矢量和尺寸矢量描述零件模型及其偏差传递模型,运用齐次变换方法和矩阵理论给出从零件坐标系到夹具坐标系以及从夹具坐标系到机床坐标系的变换方法,得到描述多工位制造系统中的产品尺寸偏差传递的线性状态空间模型及其显式表示的系统矩阵,解决传统状态空间模型的系统矩阵存在非线性因子的问题,建立产品尺寸偏差与各种偏差源之间的关系,增强传统状态空间模型的可用性,并用实例验证模型的有效性。

Modeling and Analysis of Multi-station Dimensional Deviation Stream Based on Linear State Space Model

In order to solve the problem of implicit expression of system matrix in the state space model which describes the transfer of product dimensional deviation,and existence of nonlinear factors in traditional multi-station manufacturing systems,part model consists of surface orientation vector,position orientation vector,size vector and its variation model are given on the basis of definitions of part,fixture and machine coordinate systems;by using homogeneous transformation method and matrix theory,mutual tr...