Tool Path Optimization of 2D Contour Considering Stock Boundary

2012 ◽  
Vol 251 ◽  
pp. 169-172
Author(s):  
Fu Zhong Wu
Keyword(s):  
Present Method ◽  
Tool Path ◽  
Three Dimensional ◽  
Boundary Curve ◽  
Tool Path Generation ◽  
Path Optimization ◽  
Path Generation ◽  
Offset Curves ◽  
Measuring Machine ◽  
Tool Diameter

Based on analyzing the existing algorithms, a novel tool path generation of 2D contour considering stock boundary is presented. Firstly the boundary points of stock are obtained by three-dimensional measuring machine. And the boundary curve is constructed by method of features identifying. The stock boundary is offset toward outside with tool diameter. An enclosed region is formed between the contour curves and the offset curves of stock boundary. The tool path is generated by form of parallel spiral by offsetting the stock boundary in the enclosed region. Finally the validity of present method is demonstrated by an example.

Tool Path Generation Based on B-Spline Wavelets

2001 ◽  
Author(s):  
Ranga Narayanaswami ◽  
Junhua Pang
Keyword(s):  
Tool Path ◽  
Fundamental Problem ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Algebraic Complexity ◽  
Path Generation ◽  
Object Boundary ◽  
Machined Surface ◽  
Novel Approach ◽  
Offset Curves

Abstract Tool path generation is a fundamental problem in numerical control machining. Typical methods used for machining 2.5D objects include generation of offset contours using trimmed offset curves and zigzag sequences. The offset contours result in unnecessary detailed curves far away from the object boundary. The zigzag sequences result in frequent stops and changes in tool direction. In this paper we present a novel approach for tool path generation based on wavelet theory. The theory of wavelets naturally leads to a simple cut sequence algorithm that provides valid and efficient coverage of the machined surface. The classical analytical and algebraic complexity in tool path planning is also reduced. In this paper, curves are represented by endpoint interpolating B-splines and their corresponding wavelets. Design and manufacturing examples are also presented in this paper.

Tool-Path Generation in Three-Axis Machining From Scanned Data of Physical Models by Using Filleted Endmills

2000 ◽  
Author(s):  
Cheng-Ming Chuang ◽  
Chun-Yan Chen ◽  
Hong-Tzong Yau
Keyword(s):  
Tool Path ◽  
Tool Path Generation ◽  
Physical Models ◽  
Free Form ◽  
Cad Model ◽  
Path Generation ◽  
Location Data ◽  
Tool Paths ◽  
Measuring Machine ◽  
Cutter Location Data

Abstract NC tool-path is usually generated by sweeping parametric surfaces of a CAD model. In modern design, free-form or sculptured surfaces are increasingly popular in representing complex geometry for aesthetic or functional purposes. Traditionally, a prototype is realized by machining the workpiece using the NC codes generated from a CAD model. The machined part can then be compared with the CAD model by measurement using a coordinate measuring machine. Presented in this paper is a reverse engineering approach to generating interference free tool-paths in three-axis machining from scanned data of physical models. There are two steps in this procedure. First, a physical model is scanned by 3D digitizers and multiple data sets are obtained of the complex model. A surface registration algorithm is proposed to align and integrate those data to construct a complete 3D data set. We use least distance method to determine the connecting sequence of the neighboring points, such that the scanned data are converted into triangular polygons. Tool-paths are then generated from the tessellated surfaces. Using the Z-map method we calculate interference-free cutter-location data relative to the vertex, edges and planes of those triangles. The algorithms for tool-path generation are usually different for cutters of various geometry. Some algorithms found in literature require complex numerical calculations and are time consuming. In this paper, an efficient algorithm is developed to calculate interference-free cutter-location data by easy geometric reasoning without complex computation. The robust method is suitable for generally used cutters such as ball, flat and filleted endmills and the time taken to obtain full tool-paths of compound surfaces is short. Some real applications are presented to validate the proposed approach.

Iso-phote Based Tool-path Generation for Machining Free-form Surfaces

1999 ◽  
Vol 121 (4) ◽  
pp. 656-664 ◽  
Author(s):  
Zhonglin Han ◽  
Daniel C. H. Yang
Keyword(s):  
Tool Path ◽  
Tool Path Generation ◽  
Free Form ◽  
Normal Vector ◽  
Path Generation ◽  
Reference Vector ◽  
Tool Paths ◽  
Offset Curves ◽  
Fixed Reference ◽  
Free Form Surfaces

This paper presents a novel approach for generating efficient tool paths in machining free-form surfaces. Concept of iso-phote is used to facilitate tool-path generation. An iso-phote is defined as a region on a surface where the normal vector does not differ by more than a prescribed angle from a fixed reference vector. The boundary curves of the iso-phote, called iso-inclination curves, are numerically generated and are served as the initial master tool paths. These iso-inclination curves are then projected to a 2D plane which is perpendicular to the fixed reference vector. 2D curve offsetting of the projected iso-inclination curve is then performed. The resulted 2D offset curves are projected back to 3D surface to form final tool paths. The resulted tool paths can guarantee the satisfaction of machining tolerance requirements. A comparison study of this iso-phote based machining with the conventional iso-parametric machining and the iso-planar machining shows favorite result for the new approach.

Tool path generation for fabricating optical freeform surfaces by non-resonant three-dimensional elliptical vibration cutting

2013 ◽  
Vol 228 (7) ◽  
pp. 1208-1222 ◽  
Author(s):  
Lin Jieqiong ◽  
Li Yingchun ◽  
Zhou Xiaoqin
Keyword(s):  
Tool Path ◽  
Three Dimensional ◽  
Tool Path Generation ◽  
Path Generation ◽  
Freeform Surfaces ◽  
Elliptical Vibration Cutting ◽  
Cutting Method ◽  
Vibration Cutting ◽  
Elliptical Vibration ◽  
Optical Freeform Surfaces

Optical freeform surfaces on difficult-to-machine materials are used widely in a range of areas such as optical engineering, semiconductor and biomedical products. However, it is a challenge to achieve both a high surface quality and complex surface shape because of their tendency of being damaged in brittle fracture in the machining process. In this article, non-resonant three-dimensional elliptical vibration cutting method is proposed to obtain optical freeform surfaces of some difficult-to-machine materials, which is realised by making the diamond tool vibrate at a three-dimensional ellipse in the non-resonant manner. The elliptical motion parameters of this method can be taken active control under different machining conditions, which can make us get optimal cutting performance. Based on this new elliptical vibration cutting method, the algorithm of the tool path generation considering the tool arc radius compensation is proposed, which can avoid excess turning. The three-dimensional surface topography prediction model is established to verify the tool path. Simulation analysis on a typical optical freeform surface, toric surface, has shown that the tool path generation algorithm with the proposed elliptical vibration cutting method can envelope the toric surface, which has illustrated the validity of the proposed algorithm and technique. The tool path generation algorithm can be used to direct one to machine the optical freeform surface in the cutting experiments.

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