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组合有理二次Bezier曲线及其在数控弯管加工仿真中的应用
引用本文:吕波 唐承统 宁汝新. 组合有理二次Bezier曲线及其在数控弯管加工仿真中的应用[J]. 机床与液压, 2005, 0(9): 147-149,161
作者姓名:吕波 唐承统 宁汝新
作者单位:北京理工大学机械与车辆工程学院,北京100081
摘    要:根据推导所得出的有理二次Bezier曲线表示圆弧曲线的表达式,给出了描述一类由直线和圆弧曲线构成的组合曲线分段参数方程,采用该方法能够自动保证圆弧曲线与直线达到G^1连续,并将其应用于数控弯管加工仿真中导管的动态成形,使用结果表明,该方法能够显著提高数控弯管加工仿真系统的运行效率。

关 键 词:Bezier曲线 圆弧曲线 弯管 仿真
文章编号:1001-3881(2005)9-147-3
收稿时间:2004-04-09
修稿时间:2004-04-09

The Composed Rational Quadratic Bezier Curve and its Application for NC Tube Bending Process Simulation
Lv Bo;Tang ChengTong;Ning RuXin. The Composed Rational Quadratic Bezier Curve and its Application for NC Tube Bending Process Simulation[J]. Machine Tool & Hydraulics, 2005, 0(9): 147-149,161
Authors:Lv Bo  Tang ChengTong  Ning RuXin
Abstract:On the basis of the representing form of the circular arc with rational quadratic Bezier curve, the rational parameter equation of the curve composed of circular arcs and straight line segments was provided, which can assume the G^1 continuity between the circular arcs and the line segments. Applying the equation to the real-time dynamic modeling of tube of the simulation system for NC tube bending process, a good visual effect of simulation was achieved.
Keywords:Bezier curve   Circular arcs   Bending tube   Simulation
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