scholarly journals A new approach to find gouge free tool positions for a toroidal cutter for Bezier surfaces in Five axis machining

2021 ◽  
Author(s):  
Mukhmeet Sing ◽  
Jerry Qu ◽  
Ravinder Kumar Duvedi ◽  
Sanjeev Bedi ◽  
Stephen Mann
Keyword(s):  
Multiple Points ◽  
New Approach ◽  
Tool Positioning ◽  
Bézier Surfaces ◽  
Positioning Technique ◽  
Bezier Surfaces ◽  
Tool Position ◽  
Five Axis ◽  
Gpu Implementation ◽  
Toroidal Cutter

Abstract We implement and test a multi-point machining tool positioning technique that positions the tool using only a variation on gouge checking. The result is a method that is roughly twice as fast as an earlier method that performed a numerical search to find a tool position with multiple points of contact with the design surface. A GPU implementation provides an additional factor of ten speedup. Verification of the method was done via simulation and machining and measuring physical parts.

scholarly journals Generalized Developable Cubic Trigonometric Bézier Surfaces

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 283
Author(s):  
Muhammad Ammad ◽  
Md Yushalify Misro ◽  
Muhammad Abbas ◽  
Abdul Majeed
Keyword(s):  
Shape Parameter ◽  
Surface Characteristics ◽  
Surface Shape ◽  
Shape Parameters ◽  
New Approach ◽  
Bézier Surface ◽  
Bezier Surface ◽  
Bézier Surfaces ◽  
Bezier Surfaces ◽  
Shape Adjustment

This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address the fundamental issue of local surface shape adjustment. The GDCT-Bézier surfaces are made by means of GDCT-Bézier-basis-function-based control planes and alter their shape by modifying the shape parameter value. The GDCT-Bézier surfaces are designed by maintaining the classic Bézier surface characteristics when the shape parameters take on different values. In addition, the terms are defined for creating a geodesic interpolating surface for the GDCT-Bézier surface. The conditions appropriate and suitable for G1, Farin–Boehm G2, and G2 Beta continuity in two adjacent GDCT-Bézier surfaces are also created. Finally, a few important aspects of the newly formed surfaces and the influence of the shape parameters are discussed. The modeling example shows that the proposed approach succeeds and can also significantly improve the capability of solving problems in design engineering.

Five-Axis Flank Milling of Sculptured Surface with Barrel Cutters

2009 ◽  
Vol 407-408 ◽  
pp. 292-297
Author(s):  
Dan Wang ◽  
Wu Yi Chen ◽  
Tian Li ◽  
Ru Feng Xu
Keyword(s):  
Flank Milling ◽  
Interference Avoidance ◽  
Envelope Curve ◽  
Tool Positioning ◽  
Machining Errors ◽  
Positioning Method ◽  
Local Interference ◽  
Procedure Error ◽  
Tool Position ◽  
Five Axis

A flank milling tool positioning method using a barrel cutter is proposed. An offset point is used as the first anchor point. Two rotary angles of the barrel cutter are adjusted to find the optimized tool position with the largest machining strip width. The result tool position calculated using the proposed method is gouge-free because the local interference avoidance method is integrated inside the tool positioning procedure. Error distribution beneath the barrel cutter is well estimated by virtual of the instant envelope curve of the cutter. The envelope curve is discretized into points. The distances between these points and the model surface are the machining errors beneath the cutter. The employment of the envelope curve also largely reduces the computational load of the algorithm. Finally, numerical implementation and simulation are performed to validate the feasibility of the method.

Study on Methods for Calculating Tool Position Error Distribution during 5-Axis Machining of Sculptured Surfaces

2011 ◽  
Vol 314-316 ◽  
pp. 1517-1522
Author(s):  
Ru Feng Xu ◽  
Zhi Tong Chen
Keyword(s):  
Error Distribution ◽  
Position Error ◽  
Maximum Deviation ◽  
Sculptured Surfaces ◽  
Computer Tool ◽  
Tool Positioning ◽  
Nc Programming ◽  
Tool Position ◽  
Five Axis ◽  
The Given

With the continuous improvement of the calculation speed of computer, tool positioning methods based on numerical calculation in five-axis NC programming will play a greater role. First, this paper introduces three numerical methods for calculating tool position error distribution between a torus cutter and design surface in 5-axis machining of sculptured surfaces, namely a method for discretizing design surface, a method for discretizing the torus central circle, and a longitude method. At the same time, the detailed calculating steps are also given. An example of a cylindrical surface machined with torus tool is then conducted to compare and analyze the calculation accuracy and efficiency of the above methods. Results obtained show that the calculating deviation for computing tool position error distribution using the method for discretizing the torus central circle is minimum, while that using another two methods are larger; the calculation time of the method for discretizing the torus central circle is shortest, while that of the longitude method is longest; within the given programming tolerance, the machining strip widths calculated by the above methods are appropriately same, and the maximum deviation of actual machining strip width is within 2% of the theoretical value.

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