# Numerical implementation of drop and tilt method of five-axis tool positioning for tensor product surfaces

Numerical implementation of drop and tilt method of five-axis tool positioning for tensor product... The Drop and Tilt tool position method for five-axis machining positions a toroidal tool to have two points of contact with a tensor product Bézier surface. The method results in high order simultaneous non-linear transcendental equations that are slow to solve. In this paper, an efficient numerical implementation of the Drop and Tilt Method of multi-point tool positioning on tensor product surfaces is presented. The method was implemented in C++, and is a direct method that does not convert the tensor product surface into an intermediate representation such as triangles or point clouds. The method is successfully demonstrated on a number of tensor product Bézier surfaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The International Journal of Advanced Manufacturing Technology Springer Journals

# Numerical implementation of drop and tilt method of five-axis tool positioning for tensor product surfaces

, Volume 95 (4) – Oct 16, 2017
14 pages

/lp/springer_journal/numerical-implementation-of-drop-and-tilt-method-of-five-axis-tool-vsWqDLeZ92
Publisher
Springer Journals
Subject
Engineering; Industrial and Production Engineering; Media Management; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design
ISSN
0268-3768
eISSN
1433-3015
D.O.I.
10.1007/s00170-017-1193-1
Publisher site
See Article on Publisher Site

### Abstract

The Drop and Tilt tool position method for five-axis machining positions a toroidal tool to have two points of contact with a tensor product Bézier surface. The method results in high order simultaneous non-linear transcendental equations that are slow to solve. In this paper, an efficient numerical implementation of the Drop and Tilt Method of multi-point tool positioning on tensor product surfaces is presented. The method was implemented in C++, and is a direct method that does not convert the tensor product surface into an intermediate representation such as triangles or point clouds. The method is successfully demonstrated on a number of tensor product Bézier surfaces.

### Journal

The International Journal of Advanced Manufacturing TechnologySpringer Journals

Published: Oct 16, 2017

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