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基于弧长参数的开边自由曲面构件上纤维均匀覆盖(英文)
作者单位:南京航空航天大学江苏省精密与微细制造技术重点实验室
基金项目:国家自然科学基金,国家高技术研究发展计划(863计划) 
摘    要: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.

关 键 词:轨道规划  纤维布置  偏移曲线  覆盖
收稿时间:9 July 2008

Uniform Coverage of Fibres over Open-contoured Freeform Structure Based on Arc-length Parameter
Authors:Wang Xiaoping  An Luling  Zhang Liyan  Zhou Laishui
Institution:aJiangsu Key Laboratory of Precision and Micro-manufacturing Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract: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 ini-tial-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 conven-tional 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.
Keywords:path planning  fibre placement  offset curve  uniform coverage
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