机床与液压
機床與液壓
궤상여액압
MACHINE TOOL & HYDRAULICS
2013年
5期
36-39
,共4页
曾文舟%吴黎明%张贺云%陈刘
曾文舟%吳黎明%張賀雲%陳劉
증문주%오려명%장하운%진류
复变量移动最小二乘法%数控折弯机%多参量非线性补偿
複變量移動最小二乘法%數控摺彎機%多參量非線性補償
복변량이동최소이승법%수공절만궤%다삼량비선성보상
Complex variable moving least squares%CNC bending machine%Multi-parameter nonlinear compensation
对复变量移动最小二乘法及其基函数、紧支域半径等重要参数进行研究,针对它在非均匀采样点集应用上的不足,提出一种待拟合点紧支域半径随采样点区域稀疏程度动态调整的改进型复变最小二乘法,并将其应用到数控折弯机的多参量非线性补偿中,对多组拟合数据进行对比性曲线拟合以及曲面拟合.结果表明:与传统的复变量移动最小二乘法拟合曲线相比,改进型复变最小二乘法在计算复杂度、平滑性以及精度尤其是点密集区域的精度等方面都取得了较大的改进.
對複變量移動最小二乘法及其基函數、緊支域半徑等重要參數進行研究,針對它在非均勻採樣點集應用上的不足,提齣一種待擬閤點緊支域半徑隨採樣點區域稀疏程度動態調整的改進型複變最小二乘法,併將其應用到數控摺彎機的多參量非線性補償中,對多組擬閤數據進行對比性麯線擬閤以及麯麵擬閤.結果錶明:與傳統的複變量移動最小二乘法擬閤麯線相比,改進型複變最小二乘法在計算複雜度、平滑性以及精度尤其是點密集區域的精度等方麵都取得瞭較大的改進.
대복변량이동최소이승법급기기함수、긴지역반경등중요삼수진행연구,침대타재비균균채양점집응용상적불족,제출일충대의합점긴지역반경수채양점구역희소정도동태조정적개진형복변최소이승법,병장기응용도수공절만궤적다삼량비선성보상중,대다조의합수거진행대비성곡선의합이급곡면의합.결과표명:여전통적복변량이동최소이승법의합곡선상비,개진형복변최소이승법재계산복잡도、평활성이급정도우기시점밀집구역적정도등방면도취득료교대적개진.
@@@@Complex variable moving least squares (MLS) and the important parameters such as basic functions and support do-main radius were discussed. For the lack of its applications on non-uniform sampling point set,an improved complex variable least squares (DRMLS) was presented which support domain radius at fitting point was dynamically adjusted with the thickness of sampling point set. The arithmetic was applied to multi-parameter nonlinear compensation of CNC bending machine with comparative experi-ments between MLS and DRMLS on multiple sets of data. The results show that DRMLS has achieved a larger improvment in computa-tional complexity,smoothness and accuracy,especially accuracy in thick point sets region compared with traditional MLS.