平面曲线轮廓度误差的高斯-牛顿法评定

CURVE PROFILE ERROR EVALUATION BASED ON GAUSS-NEWTON METHOD

线轮廓度是零件形位误差中应用广泛而又难以测量和评定的项目.在线轮廓度误差评定中,作者对测量数据进行了预处理以进行测头半径补偿;为消除测量中测量基准与设计基准不重合而引入了位姿误差,建立了误差分离优化模型;基于形位误差测量中"小偏差假设"和"小误差假设",通过多次微分坐标变换进行了位姿误差与线轮廓度误差的求解,并在VC环境下通过计算机实例仿真计算及误差曲线对比证明了该算法的可行性.

Curve profile error is a geometric error used widely and difficult to measure and evaluate.To conduct the probe radius compensation,measured data was preprocessed before the curve profile error evaluation.To eliminate the pose error resulted from the deviation between the measured and design data,optimization model of the error separation was given.The solution of the pose error and the curve profile error was obtained through a series of differential coordinate transformations based on the little error hypothesis and the little deviation hypothesis.The feasibility was proved by the calculation and the error curves comparison of the computer emulation in VC environment.