A unified localization approach for machining allowance optimization of complex curved surfaces
A unified localization approach for machining allowance optimization of complex curved surfaces
复制标题
复杂曲面加工余量优化的统一定位方法
DOI：
10.1016/j.precisioneng.2009.02.003
复制
发表时间：
2009-10
影响因子：
3.6
通讯作者：
中科院分区：
文献类型：
--
作者：
工件定位的目标是找到最优的欧几里得变换，使采样点与标称CAD模型对齐，以确保在加工过程中有足够的库存余量。本文提出了一种面向曲面加工的统一定位技术。该技术涉及一个对准过程，以满足用户自定义的一组约束的一些特定表面，其中加工余量是优先保证。首先建立了约束优化准直的数学模型，并将乘法器法与BFGS算法相结合，有效地解决了余量优化中存在的大量约束问题。为了有效地计算欧几里德定向距离，提出了一种基于递推四叉树分解的方法，将多元bernstein型多项式的鲁棒算法与Bezier曲面分割算法相结合。用两个典型的雕刻曲面对所提出的算法进行了测试，并与现有算法进行了比较。实验结果表明，所提出的方法对于合理分配加工曲面的余量是合理可行的。
The goal of workpiece localization is of interest to find the optimal Euclidean transformation that aligns the sampled points to the nominal CAD model to ensure sufficient stock allowance during the machining process. In this paper, a unified localization technique is developed for sculptured surface machining. This technique concerns an alignment process to satisfy a user-defined set of constraints for some specific surfaces where the machining allowance is preferentially guaranteed. The mathematical model of the constrained optimization alignment is firstly established, and is efficiently solved by a combination of the multipliers method and the BFGS algorithm to handle the large number of constraints in allowance optimization. To efficiently calculate the Euclidean oriented distance, a novel approach, which combines the robust arithmetic for multivariate Bernstein-form polynomials and Bezier surface segmentation algorithm, is presented based on recursive quadtree decomposition. Two typical sculptured surfaces are used to test the developed algorithm and comparisons between the proposed algorithm and the existing algorithms are given. Experiment results show that the proposed method is appropriate and feasible to distribute the stock allowance for proper sculptured surface machining.
登录
查看更多内容
DOI：
10.1016/s0010-4485(00)00056-7
发表时间：
2000-09
期刊：
Comput. Aided Des.
影响因子：
--
作者：
A. Bowyer;J. Berchtold
通讯作者：
A. Bowyer;J. Berchtold
DOI：
10.1115/1.1763186
发表时间：
2004-08
影响因子：
4
作者：
Limin Zhu;Z. Xiong;H. Ding;Y. Xiong
通讯作者：
Limin Zhu;Z. Xiong;H. Ding;Y. Xiong
影响因子：
10.4
作者：
Yadong Li;Peihua Gu
通讯作者：
Yadong Li;Peihua Gu
影响因子：
6.3
作者：
K. Zhou;Jing-Shan Zhao;D. Mao
通讯作者：
K. Zhou;Jing-Shan Zhao;D. Mao
DOI：
10.1016/j.precisioneng.2004.07.002
发表时间：
2005-04
影响因子：
3.6
作者：
J. Chatelain
通讯作者：
J. Chatelain