玻璃成形抛光相对线速度基本恒定控制算法研究

中国机械工程 ›› 2013, Vol. 24 ›› Issue (24): 3272-3277.

玻璃成形抛光相对线速度基本恒定控制算法研究

韩俊昭1;任锟1;潘骏1;刘思路2;尤灵敏1;沈琦琦1

1.浙江理工大学浙江省机电产品可靠性技术研究重点实验室,杭州,310018
2.合肥工业大学,合肥,230009

出版日期:2013-12-25 发布日期:2013-12-27
基金资助:
国家自然科学基金资助重点项目(50935002);国家科技支撑计划资助项目（2009BAF39B03)；浙江省重点科技创新团队资助项目(2010R50005);浙江省面上科研工业项目(2009C31096)

Research on Limited Relative Velocity Fluctuation in Glass Shaping Polishing

Han Junzhao1;Ren Kun1;Pan Jun1;Liu Silu2;You Lingmin1;Shen Qiqi1

1.Zhejiang Province's Key Laboratory of Reliability Technology for Mechanical and Electronic Product,Zhejiang Sci-Tech University, Hangzhou,310018
2.Hefei University of Technology,Hefei,230009

Online:2013-12-25 Published:2013-12-27
Supported by:
National Natural Science Foundation of China（No. 50935002）;The National Key Technology R&D Program（No. 2009BAF39B03）

摘要/Abstract

摘要：

针对玻璃成形抛光中玻璃与抛光轮接触点相对线速度持续减小从而影响加工效率的问题,以控制相对线速度基本恒定、保证加工效率和精度为目标，提出基于三次NURBS曲线的速度控制算法。基于线性加减速方案，确定速度特性曲线控制点。结合Preston公式，以相对线速度基本恒定为约束条件，求解抛光轮中心末速度。以加加速度连续为约束条件，求取与控制点对应的权因子，确定抛光轮中心速度变化时的控制方程。采用四阶龙格-库塔数值方法确定插补初始点，再由米勒-汉明数值方法进行迭代校正，实现参数式曲线插补控制算法。试验结果表明，该速度控制方法能够有效保持玻璃与抛光轮接触点相对线速度基本恒定，加工效率较传统方法有较大提高。

关键词: 玻璃抛光, 三次NURBS曲线, 相对线速度, 预测校正插补算法

Abstract:

To deal with low machining productivity and quality due to continuous decreasing of relative velocity at touch point between glass and polishing wheel, a velocity control algorithm based on cubic NURBS was proposed to keep the limited relative velocity fluctuation. Based on linear acceleration/deceleration, the control points for proposed velocity control curve were confirmed. Using the Preston equation, the final velocity of polishing wheel center for velocity control curve was solved under the conditions of limited relative velocity fluctuation. Based on jerk continuity, the weighting factors were obtained and control equations for velocity smoothly changing were confirmed. Using fourth Runge-Kutta formula to obtain the initial points and Milne-Hamming equation to predict and correct the next points, the interpolation algorithm for parametric trajectory was accomplished. Experimental results show that the proposed approach guarantees limited fluctuation of relative velocity at touch point and improves the efficiency of glass polishing compared with traditional method.

Key words: glass polishing, cubic NURBS, relative velocity, predictor-corrector interpolation algorithm

中图分类号:

TP24

韩俊昭, 任锟, 潘骏, 刘思路, 尤灵敏, 沈琦琦. 玻璃成形抛光相对线速度基本恒定控制算法研究[J]. 中国机械工程, 2013, 24(24): 3272-3277.

Han Junzhao, Ren Kun, Pan Jun, Liu Silu, You Lingmin, Shen Qiqi. Research on Limited Relative Velocity Fluctuation in Glass Shaping Polishing[J]. China Mechanical Engineering, 2013, 24(24): 3272-3277.

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