This article uses arc-length parameters for path planning to carry out robotic fibre placement (RFP) over open-contoured structures This allows representing the initial path and offset points using an identical math...This article uses arc-length parameters for path planning to carry out robotic fibre placement (RFP) over open-contoured structures This allows representing the initial path and offset points using an identical mathematical equation and computation by more simple arithmetic. With the help of classical differential geometry, the calculation of fiber-placing paths may be reduced to solution of initial-value problems of first-order ordinary differential equations in the parametric domain (parametrically defined mould surface) or in 3D space (an implicitly defined mould surface), thereby significantly improving on the existing methods. Compared with the conventional methods, the proposed method, besides its computational simplicity, has a better error control mechanism in computing the initial path and offset points. Numerical experiments are also carried out to demonstrate the feasibility of the new method in composite forming processes and also its potential application in computer numerical control (CNC) machining, surface trim, and other industrial practices.展开更多
对于具有复杂封闭型面的零件,传统等距偏置纤维铺放轨迹规划算法难以同时保证轨迹角度及轨迹间距,使得实际纤维铺放角度与设计角度易产生偏差。为此提出了基于脊线式基准的等铺放角初始轨迹生成算法与测地线式等距偏置批量轨迹生成算法...对于具有复杂封闭型面的零件,传统等距偏置纤维铺放轨迹规划算法难以同时保证轨迹角度及轨迹间距,使得实际纤维铺放角度与设计角度易产生偏差。为此提出了基于脊线式基准的等铺放角初始轨迹生成算法与测地线式等距偏置批量轨迹生成算法相结合的角度控制轨迹规划算法,此方法集成了等角生成算法产生初始轨迹精度高和等距偏置算法产生批量轨迹效率高的优点,并添加角度控制功能,保证每条轨迹都能满足角度范围要求,有效减小和消除了实际铺放轨迹和设计铺放轨迹之间的差异,在保证轨迹生成角度与间距的同时提高了批量轨迹生成效率。在此算法基础上,采用CATIA二次开发CAA技术和Visual Studio 2005平台开发了相应的软件,并对典型复杂构件S形进气道曲面算例进行了验证,证明了算法的有效性。展开更多
基金Foundation items: National Natural Science Foundation of China (60673026) Hi-tech Research and Development Program of China (2002AA334130)
文摘This article uses arc-length parameters for path planning to carry out robotic fibre placement (RFP) over open-contoured structures This allows representing the initial path and offset points using an identical mathematical equation and computation by more simple arithmetic. With the help of classical differential geometry, the calculation of fiber-placing paths may be reduced to solution of initial-value problems of first-order ordinary differential equations in the parametric domain (parametrically defined mould surface) or in 3D space (an implicitly defined mould surface), thereby significantly improving on the existing methods. Compared with the conventional methods, the proposed method, besides its computational simplicity, has a better error control mechanism in computing the initial path and offset points. Numerical experiments are also carried out to demonstrate the feasibility of the new method in composite forming processes and also its potential application in computer numerical control (CNC) machining, surface trim, and other industrial practices.
文摘对于具有复杂封闭型面的零件,传统等距偏置纤维铺放轨迹规划算法难以同时保证轨迹角度及轨迹间距,使得实际纤维铺放角度与设计角度易产生偏差。为此提出了基于脊线式基准的等铺放角初始轨迹生成算法与测地线式等距偏置批量轨迹生成算法相结合的角度控制轨迹规划算法,此方法集成了等角生成算法产生初始轨迹精度高和等距偏置算法产生批量轨迹效率高的优点,并添加角度控制功能,保证每条轨迹都能满足角度范围要求,有效减小和消除了实际铺放轨迹和设计铺放轨迹之间的差异,在保证轨迹生成角度与间距的同时提高了批量轨迹生成效率。在此算法基础上,采用CATIA二次开发CAA技术和Visual Studio 2005平台开发了相应的软件,并对典型复杂构件S形进气道曲面算例进行了验证,证明了算法的有效性。