Mechanical parts are modeled as (predominantly rigid) solid shapes that may move in space in order to function, be manufactured (for example, machine or be machined), and be assembled or disassembled. While it is clear that such mechanical shapes are greatly influenced by collision, interference, containment, and contact constraints through prescribed motions, the motion itself is usually not part of these shape models. This in turn leads to proliferation of computational methods for modeling and analysis of various motion-related constraints. We show that all motion-related constraints can be formulated and applied within the same computational framework that treats motion as an integral part of the model. Our approach relies on two computational utilities. The first one is the unsweep operation which, given an arbitrary n-dimensional subset of Euclidean space E and a general motion M, returns the largest subset of E that remains inside E under M. The second modeling utility is a disjoint decomposition of space induced by the operations of unsweep and the standard set operations. The proposed approach subsumes and unifies the traditional sweep-based modeling of moving parts, and provides improved computational support for mechanical shape design. [S1050-0472(00)02404-1]
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December 2000
Technical Papers
On Shaping With Motion
Horea T. Ilies¸,
Horea T. Ilies¸
Spatial Automation Laboratory, Department of Mechanical Engineering, 1513 University Avenue, University of Wisconsin-Madison, WI 53706
ilies@sal-cnc.me.wisc.edu
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Vadim Shapiro
Vadim Shapiro
Spatial Automation Laboratory, Department of Mechanical Engineering, 1513 University Avenue, University of Wisconsin-Madison, WI 53706
vshapiro@engr.wisc.edu
Search for other works by this author on:
Horea T. Ilies¸
ilies@sal-cnc.me.wisc.edu
Spatial Automation Laboratory, Department of Mechanical Engineering, 1513 University Avenue, University of Wisconsin-Madison, WI 53706
Vadim Shapiro
vshapiro@engr.wisc.edu
Spatial Automation Laboratory, Department of Mechanical Engineering, 1513 University Avenue, University of Wisconsin-Madison, WI 53706
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received Feb. 1999. Associate Technical Editor: M. A. Ganter.
J. Mech. Des. Dec 2000, 122(4): 567-574 (8 pages)
Published Online: February 1, 1999
Article history
Received:
February 1, 1999
Citation
Ilies¸, H. T., and Shapiro, V. (February 1, 1999). "On Shaping With Motion ." ASME. J. Mech. Des. December 2000; 122(4): 567–574. https://doi.org/10.1115/1.1319319
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