考虑非线性误差补偿的五坐标数控加工走刀步长改进算法
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国家自然科学基金资助项目(50805078)


A new determination method of tool step for 5axis NC machining
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    摘要:

    研究了五坐标数控加工中特有的非线性误差,提出一种改进的五坐标数控加工走刀步长算法,在前置处理中即考虑补偿非线性误差。在走刀步长计算过程中,同时考虑弧弦逼近误差与非线性误差,将总的加工误差看作是刀轨参数的函数。该函数求导困难,难于通过给定误差直接计算走刀步长。对弦截法迭代格式进行改进,改进后的方法能够保证正确解在迭代过程中始终位于收敛区间内,并采用改进后的弦截法计算走刀步长。实例计算表明,所提出方法在计算走刀步长过程中能够对非线性误差进行有效的补偿,满足等加工误差要求,同时改进后的弦截法能够收敛到正确解,且

    Abstract:

    The peculiar nonlinear error in the 5axis NC machining is studied. An improved tool step determination method for the 5axis NC machining is proposed, in which the nonlinear error is compensated. Both the arcchord error and the nonlinear error are considered when computing the tool step, and the comprehensive error is taken as the function of the tool path parameter. Due to the difficulty of gaining the derivative of this function and the tool step according to the prescribed tolerance, the secant method is improved to guarantee the real solution locating in the converging range which is adopted to compute the tool step. The implementing example shows that the proposed method can compensate the nonlinear error effectively with meeting the prescribed tolerance. The exact tool step can be gotten efficiently with the improved secant method.

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姬俊锋,周来水,安鲁陵,张臣.考虑非线性误差补偿的五坐标数控加工走刀步长改进算法[J].重庆大学学报,2010,33(4):37-42.

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  • 收稿日期:2010-01-10
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