关键词: 圆锥刀, 侧铣, 非可展直纹面, 刀位优化, 响应面

Abstract: For flank milling of non-developable ruled surface with conical tools,tool position optimization was the key to reduce principle errors.Aiming at the problems that the complexity and low machining precision of tool position optimization,a tool position optimization method was proposed based on Response Surface Methodology (RSM).By using normal target rod radial drawn from design surface,the tool envelope surface could be expressed as the associated surface of design surface,and the envelope error was represented as minimum value intercepted by continuous tool position.The equivalence property of minimum target rod valve condition and envelope condition was proved,and the normal target rod through tool axis on design surface was defined as feature target rod according to a certain instantaneous tool position.On this basis,the determination condition of optimal pose for every tool position was given correspondingly,it was that the square sum of the length of each feature target rod intercepted by tool was minimum.Based on face centered combination experimental design method and generation compression strategy on position and orientation space of milling tool,the objective function relationship between optimization objective function and pose parameters was established with RSM,and the optimal position and orientation parameters were obtained.The example calculation and contrastive analysis were carried on to prove the effectiveness of proposed method.The results showed that the proposed method could provide simple calculation process,high model fitting precision and accurate forecasting results,moreover,could significantly improve the performance of tool position optimization and reduce the envelope error of whole curve surface.

Key words: conical tools, flank milling, non-developable ruled surface, tool position optimization, response surface