Multipoint tool positioning of a toroidal end mill for five-axis machining of generalized tensor product Bézier surfaces

Duvedi, Ravinder Kumar; Singh, Mukhmeet; Bedi, Sanjeev; Mann, Stephen

doi:10.1007/s00170-020-06006-1

“…Maximum deviation gives the value of maximum scallop height which is higher in case of the Concave surface as compared to the Convex and Saddle surfaces. Table 3 gives a timing comparison of the current method with an earlier method (SR) of Duvedi et al [17]. As seen in the table, the new method (DRC, CPU) is roughly a factor of two faster than the earlier method.…”

Section: Resultsmentioning

confidence: 99%

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

Sing

¹

,

Qu

²

,

Duvedi

³

et al. 2021

Preprint

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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.

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“…To find a first point of contact between a dropping toroidal tool and a tensor product surface, Duvedi et al [17] start at an initial seed location on the design surface, and use Newton's method to find a point of tangency between the tool and the surface (Figure 3). However, there may be multiple points (at different tool drop heights) that have a point of tangency between the tool and the surface.…”

Section: Dropping the Tool Via Ray Castingmentioning

confidence: 99%

“…The MPM method has evolved to the Drop and Tilt method of Duvedi et al for both triangulated surfaces [5,6] and for tensor product Bézier surfaces [14][15][16][17]. The implementation of Duvedi et al [17] involves dropping the toroidal tool onto the surface using Newton's method to find a point of tangency between the tool and the surface.…”

mentioning

confidence: 99%

“…The MPM method has evolved to the Drop and Tilt method of Duvedi et al for both triangulated surfaces [5,6] and for tensor product Bézier surfaces [14][15][16][17]. The implementation of Duvedi et al [17] involves dropping the toroidal tool onto the surface using Newton's method to find a point of tangency between the tool and the surface. Since there are multiple points that satisfy the tangency equations between the toroidal tool and the surface, Duvedi et al perform a gouge check on the resulting tool position to test if the correct solution was found; if the tool gouges the surface, Newton's method is restarted with a new seed point to find the non-gouging point of contact.…”

mentioning

confidence: 99%

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A new approach to find gouge free tool positions for a toroidal cutter for Bézier surfaces in five-axis machining

Singh

¹

,

Qu

²

,

Duvedi

³

et al. 2021

Int J Adv Manuf Technol

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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. Keywords 5-axis machining • Multi-point machining • Gouge checking 1 Introduction Two types of machines, 3-axis and 5-axis machines, are commonly used in manufacturing industries. 5-axis machining have additional degrees of freedom in rotation and tilting about the z-and x-axes, giving extra flexibility in machine kinematics

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“…The first MPM technique of interest is the Drop and Tilt Method (DTM), which is a two-step procedure to find gouge-free, 5-axis tool positions on curved surfaces. Duvedi et al [3] developed DTM for triangulated curved surfaces and later extended it to Bézier tensor product surfaces [4]. Although DTM is computationally robust, it cannot control the distance between the two contact points for a given location on a curved surface.…”

mentioning

confidence: 99%

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

Sharma

¹

,

Duvedi

²

,

Bedi

³

et al. 2021

Int J Adv Manuf Technol

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This paper presents an extension of multipoint machining technique, called the Drop Spin and Tilt (DST) method, that spins the tool on two axes, allowing for the generation of multiple contact points at varying distances around the first point of contact. The multiple DST second points of contact were used to manually generate a toolpath with uniform spacing between the two points of contact. The original DST method used a symbolic algebra package to position the tool on a bi-quadratic surface; our extension is a numerical solution that allows positioning a toroidal tool on a tensor product Bézier surface. Further, we investigate the spread of possible second points of contact as the tool is spun around these two axes, demonstrating the feasability of using the method to control the machining strip width.

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Multipoint tool positioning of a toroidal end mill for five-axis machining of generalized tensor product Bézier surfaces

Cited by 5 publications

References 6 publications

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

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

A new approach to find gouge free tool positions for a toroidal cutter for Bézier surfaces in five-axis machining

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

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