Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/2482
標題: 利用實體模型進行鈑金成品之設計與展開
Designing and Flattening of Sheet Metal Parts Using Solid Models
作者: 蔡育卿
Y.C.Tsai
關鍵字: B-reps;邊界表示法;solid model;sheet metal flattening;half-edge data;實體模型;鈑金展開;半邊線資料結構;尤拉運算子;基準面。
出版社: 機械工程研究所
摘要: 
本文主要研究目的是利用由邊界表示法所建構的實體模型,以表示所
感興趣的鈑金元件,在不考慮該鈑金的厚度、力學行為與材料性質之條件
限制下,將實體模型之表殼展開成平面模型,期使平鈑模型之設計能夠自
動化。 文中以半邊線資料結構為基礎,並以一系列的低階尤拉運算子
,建構鈑金產品的實體模型。俟實體造型完成後,於實體中,取一個含有
最多邊線的面為基準面,再以基準面的所有邊為轉軸,利用轉換矩陣,將
其他的面轉成和基準面在同一平面上。即該實體的表殼上的所有面均被置
放在同一平面上,成為一個平面展開模型。此展開模型的資料結構由存於
實體中的所有頂點,經旋轉後而成為在同一平面上的點所構成。本文對鈑
金展開做基本的研究,所使用的方法目前僅適用於只具有一個旋轉步驟,
亦即多面角錐體的展開。

In this research, the boundary representation of a solid model
is used to represent the shell of a sheet metal part.
Neglecting the thickness, mechanical behaviors, and material
properties of the sheet metal, the surface shell of the solid
model is automatically flattened into a planar model. The solid
model of a sheet metal product, based on the half- edge data
structure, is constructed by a series of low level
manipulations, i.e., Euler operations. Selecting the face
containing the most edges as the base face in the flattening
process, every adjacent face rotates with a rotating
transformation matrix around the connecting edge as the
rotating axis to the same plane with the base plane. And, the
planar model with all faces flattened in the same plane is
constructed. The data structure of the planar model is composed
of the vertices on the same plane, which are rotated from the
solid. Being a preliminary research of sheet metal flattening,
the proposed method is able to flatten the models with one step
of rotation, e.g., the pyramidal shapes of polyhedra.
URI: http://hdl.handle.net/11455/2482
Appears in Collections:機械工程學系所

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