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摘要：
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用几何法和计算法求实长的传统方法近似展开渐缩管弯头非常烦琐,且建立数学模型难,计算过程中极易出错。从而造成钣金下料过程中展开图平、曲面过渡点及过渡线找点不准确,弯头过渡位下料误差,导致制件钣金变形、弯曲光滑度不够。本文根据公切球定理采用近似置换法通过数学推导,提出展开图的数学模型,并利用AutoCAD内部嵌件进行二次开发,编制了展开图的计算、绘图程序,进而实现计算机辅助设计和下料加工自动化。由该程序制作的样件经应用后,证明完全精确、可靠,制件弯曲过渡位光滑、变口尺寸准确。与手工绘图相比,本文编制的计算、绘图程序快捷且简单易行,可以极大地提高生产率,降低技术人员的劳动强度。
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It is very trivial to deploy the reducible elbow pipe approximately to gain the actual length in the drawing geometry & arithmetic way of traditional methods.To build up the mathematics model is difficult.It is easy to make mistakes in the process for sheet metal,leading to the transition part for the deployment of the horizontal drawing and curve drawing and transition lines are not accurate.So the sheet metal will have errors,deformation and inflection glossiness weak in the sheet metal process.According to the Law of the public tangent,the mathematics model of the deploy drawing is put forward by the mathematics induced to develop the twice imbedded in AutoCAD,compile the calculating and drawing program,realize the CAD and processing automation.After being used,the specimen of sheet metal proves that it is truly accurate and reliable.The transition part of specimen is glossy and the changed part size is also accurate.Contrast to hand-drawings,the compiled calculating and drawing program is simple and easy to be applied and can increase the productivity greatly and lower the technician labor tension.
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基金项目：
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作者简介：
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参考文献：
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[1]孙海林.设计大师AutoCAD2002高级使用篇[M].北京:清华大学出版社,2002.
[2]刘文剑,等.基于事例的工艺设计中形状相似性计算方法[J].计算机集成制造系统,2001,7(9):55 59.
[3]葛友华,等.CAPP系统中的模糊匹配方法[J].东南大学学报(自然科学版),2000,30(2):93 96.
[4]熊火轮,胡世光.板料成形中的计算机辅助技术[M].北京:北京航空航天大学出版社,2004.
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