采用模式搜索法对磁悬浮列车轨道梁的加工实现精确定位

Precision Positioning for Machining of Maglev Guide Way Girder with Pattern Search Method

磁悬浮列车轨道梁体积大、质量重,无法适用传统机加工定位方式,需由机床进行测量并与理论模型进行拟合以确定其加工位置。针对定位过程中的拟合问题,文章基于最小二乘原理,采用模式搜索法对理论模型和实际模型进行拟合,使其满足每个实测点与其对应理论点的距离的平方和为最小,从而实现对加工位置的精确定位,并得到从理论模型到加工模型的坐标变换参数和转换矩阵。

Maglev guide way girder is too big and heavy to be positioned by traditional process. Its machining model can be constructed by fitting the theoretic model for the actual model which is measured by machine tool. An algorithm based upon least square principle is used to solve this problem of positioning and fitting. The fitting process is to move the theoretic model to a location where satisfies the quadratic sum of distance from each theoretic point to relevant measuring point is the minimum. The transformation parameters from the theoretic model to the machining model can be calculated by this algorithm and thus the machining location can be positioned precisely.