Collision-free tool path generation using 2-dimensional C-space for 5-axis control machining

Morishige, Koichi; Kase, Kiwamu; Takeuchi, Yoshimi

doi:10.1007/bf01179033

Cited by 103 publications

(30 citation statements)

References 4 publications

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“…Morishige Fig. 1 Tool axis vector on the local coordinate system [16] et al [15,16] introduce an algorithm to compute the Cspace of simple polyhedron by sampling the boundaries and applied a two-dimensional C-space method to generate tool path without collision. Jun et al [17] introduce a searching method in the C-spaces to minimize the cusp height and improve the accuracy of machining.…”

Section: Introductionmentioning

confidence: 99%

“…Li et al [21] present a series of algorithms to generate tool paths with smooth tool motion and high efficiency based on the accessibility map (A-map) of the cutter at a point on the Fig. 2 Concept of 2-dimensional C-space [16] part surface. A-map is similar to C-space with two rotation angles as the coordinate axes.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we present an algorithm to compute the C-space of each CC point for a triangular mesh surface. Comparing with the method of checking all collision surfaces in [16], our method consider only the boundaries of collision regions. To obtain the final tool pathes in C-spaces, we apply the ideas of [1] to sample points in the free area of each Cspace, then construct a hierarchical weighted directed graph (HWDG) and its difference graph defined in Section 4.3.…”

Section: Introductionmentioning

confidence: 99%

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Tool orientation optimization for 5-axis machining with C-space method

Yuan

et al. 2016

Int J Adv Manuf Technol

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Collision avoidance is a fundamental problem in five-axis tool path planning. A two-step frame is widely used in tool path generation, that is, to determine C-spaces and then to design collision free pathes in the C-spaces. We present a feasible C-space computation algorithm for triangular mesh models based on collision-cone computation and stereographic projection. Then we sample points in the free area at each CC point and generate a tool orientation using the graph-based method. We also introduce a difference graph to find a smoother tool orientation. Experimental results show that the accelerations and velocities of the rotation axes are much smoother than those given by Plakhotnik and Lauwers (Int J Adv Manuf Technol 74:307-318, 2014).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tool orientation optimization for 5-axis machining with C-space method

Yuan

et al. 2016

Int J Adv Manuf Technol

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“…The most common solution is to inspect any interference between the cutting tool and the to-be-machined surface at each CC point, and to adjust the orientation of the tool to prevent any collision [1,2,3]. The discovery of regions prone to collision has been recommended before the tool orientation is adjusted [4,5,6,7,8]. Researchers also used scattered points to approximate the contact region between the cutting tool and the workpiece.…”

Section: Introductionmentioning

confidence: 99%

Planning of tool orientation for five-axis cavity machining

Gian

Lin

2003

Int J Adv Manuf Technol

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This study examines the feasibility of using open regions and vector fields to determine the appropriate tool orientation in five-axis NC machining of cavity regions with undercut areas. The first step involves slicing the to-be-machined surface into thin layers and then comparing those layers to find the position of the undercut; that is, the position of open region. Twostaged checking is proposed to determine the tool orientation that prevents collision. The two stages are initial tool orientation and collision inspection. An initial tool orientation is obtained by assessing the angle of the vectors determined by data points of contours of the open region and cutter contact (CC) points. If a collision is found in the initial orientation, then the tool orientation must be revised until no obstacles are generated from the collision.

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“…Takeuchi and Watanabe (1992) generated cutter location (CL) data with collision avoidance between a workpiece and an arbitrary tool shape, based on the solid modeling technique. Morishige et al (1997) avoided collision by producing the direction of collision avoidance, based on the 2D configuration space (C-space) defined by two parameters which determine the tool attitude. Balasubramaniam et al (2002; generated and verified globally collision-free five-axis finishing toolpaths while also considering machine limits, tool tilt, cusp height limits, tool pitch limits, and the need to keep tool paths continuous by discretizing the part and using a haptic surface.…”

Section: Introductionmentioning

confidence: 99%

Collisionless tool orientation smoothing above blade stream surface using NURBS envelope

Zhang

2013

J. Zhejiang Univ. Sci. A

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Abstract:In five-axis machining, tool orientation above a blade stream surface may lead to tool collision and a decrease in workpiece rigidity. Hence, collisionless tool orientation smoothing (TOS) becomes an important issue. On the basis of a constant scallop height tool path, the triangular facets in the faces, vertices format are constructed from cutter contact (CC) using the Voronoi incremental algorithm. The cutter location (CL) points candidate set is represented by an oblique elliptic cone whose vertex lies at CC using NURBS envelope. Whether the CL point is above its CC is judged by the dot product between the normal vector and the point on triangulation nearest to the CL point. The curvatures at CC are obtained by fitting a moving least square (MLS) quadratic patch to the local neighborhood of a vertex and calculating eigenvectors and eigenvalues of the Hessian matrix. Triangular surface elastic energy is employed as the weight in selection from the NURBS envelope. The collision is judged by NURBS surface intersection. TOS can then be expressed by selecting a CL point for each CC point and converted into a numerical control (NC) code automatically according to the postprocessor type of the machine center. The proposed method is verified by finishing of a cryogenic turboexpander impeller of air separation equipment.

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Collision-free tool path generation using 2-dimensional C-space for 5-axis control machining

Cited by 103 publications

References 4 publications

Tool orientation optimization for 5-axis machining with C-space method

Tool orientation optimization for 5-axis machining with C-space method

Planning of tool orientation for five-axis cavity machining

Collisionless tool orientation smoothing above blade stream surface using NURBS envelope

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