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A New Version of Five-Axis Motion of Spheres with Spacelike Curves in Minkowski Space

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In this paper, we investigate efficient parametric approach of determining the motion of the envelope surface by a spacelike curve in E3 1. In this new method the cutteris modeled as a canal surface. Also, cutter surfaces performing 5-axis tool motions are decomposed into a set of characteristic circles. For obtaining these circles a new method two-parameter-family of spheres is introduced. In this concept the center of a moving sphere is a function of two parameters representing the cutter surface and the tool motion. Using the Frenet frame of the given curve, we obtain new Drichlet approach for five-axis canal surface. Finally, we obtain minimality of five axis surfaces by using Drichlet approach.
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Keywords: CANAL SURFACE; FIVE AXIS NC MACHINING; MINKOWSKI SPACE; TWO-PARAMETER FAMILIES OF SPHERES

Document Type: Research Article

Publication date: September 1, 2018

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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