Browsing by Author "Barton, M."
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5axis doubleflank CNC machining of spiral bevel gears via customshaped milling tools  Part I: modeling and simulation
Bo, P.; Gonzalez, H.; Calleja, A.; Lopez de Lacalle, N.; Barton, M. (20191120)A new category of 5axis flank computer numerically controlled (CNC) machining, called \emph{doubleflank}, is presented. Instead of using a predefined set of milling tools, we use the shape of the milling tool as a free ... 
5axis doubleflank CNC machining of spiral bevel gears via customshaped tools – Part II: physical validations and experiments
Gomez, G.; Bo, P.; Gonzalez, H.; Calleja, A.; Barton, M.; Lopez de Lacalle, N. (202110)Recently, a new methodology for 5axis flank computer numerically controlled (CNC) machining, called doubleflank machining, has been introduced (see “5axis doubleflank CNC machining of spiral bevel gears via customshaped ... 
Accessibility for LineCutting in Freeform Surfaces
van Sosin, B.; Barton, M.; Elber, G. (20190426)Manufacturing techniques such as hotwire cutting, wireEDM, wiresaw cutting, and flank CNC machining all belong to a class of processes called linecutting where the cutting tool moves tangentially along the reference ... 
Automatic fitting of conical envelopes to freeform surfaces for flank CNC machining
Bo, P.; Barton, M.; Pottmann, H. (201710)We propose a new algorithm to detect patches of freeform surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the ... 
Blisk blades manufacturing technologies analysis
Calleja, A.; Gonzalez, H.; Polvorosa, R.; Gomez, G.; Ayesta, I.; Barton, M.; de Lacalle, N. (201906)The paper presents blisk blades manufactured by different manufacturing processes. In this sense, different milling trajectories are presented, and, super abrasive machining strategies and EDM technologies are also tested. ... 
Characterizing envelopes of moving rotational cones and applications in CNC machining
Skopenkov, M.; Bo, P.; Barton, M.; Pottmann, H. (202010)Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a oneparametric family of congruent rotational cones. As limit cases, we also address ruled surfaces and their ... 
The Construction of Conformingtoshape Truss Lattice Structures via 3D Sphere Packing
van Sosin, B.; Rodin, D.; Sliusarenko, H.; Barton, M.; Elber, G. (202011)Truss lattices are common in a wide variety of engineering applications, due to their high ratio of strength versus relative density. They are used both as the interior support for other structures, and as structures on ... 
Definition of tailor made cutting tools for machining of complex surfaces based on final surface shape
Gomez, G.; De Lucio, P.; Gonzalez, H.; de Lacalle, N.; Calleja, A.; Barton, M. (2020)In this work a design methodology to define the best geometry of cutting tool for complex surfaces is defined, being based on the final part surface geometry. The manufacture of components with tailor made shaped tools, ... 
Dispersionminimizing quadrature rules for $C^1$ quadratic isogeometric analysis
Deng, Q.; Barton, M.; Puzyrev, V.; Calo, V.M. (20170920)We develop quadrature rules for the isogeometric analysis of wave propagation and structural vibrations that minimize the discrete dispersion error of the approximation. The rules are optimal in the sense that they only ... 
Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for Bsplines
Barton, M.; Puzyrev, V.; Deng, Q.; Calo, V.M. (20191214)Calabr{\`o} et al. [10] changed the paradigm of the mass and stiffness computation from the traditional elementwise assembly to a rowwise concept, showing that the latter one offers integration that may be orders of ... 
Efficient quadrature rules for subdivision surfaces in isogeometric analysis
Barendrecht, P.; Kosinka, J.; Barton, M. (201810)We introduce a new approach to numerical quadrature on geometries defined by subdivision surfaces based on quad meshes in the context of isogeometric analysis. Starting with a sparse control mesh, the subdivision process ... 
FREEFORM TOOLS DESIGN AND FABRICATION FOR FLANK SUPER ABRASIVE MACHINING (FSAM) NON DEVELOPABLE SURFACES
GómezEscudero, G.; Gonzalez, H.; Barton, M.; Bo, P.; FernándezLucio, P.; Lopez de Lacalle, N.; Calleja, A. (2019)Manufacturing improvements are becoming a real need in industry. In order to satisfy these industrial requirements, they should be targeted in two different directions: new manufacturing processes and surface optimization ... 
GaussGalerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
Barton, M.; Calo, V.M. (20160701)We introduce Gaussian quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. By definition, these spaces are of even degrees. The optimal quadrature ... 
Gaussian quadrature for $C^1$ cubic CloughTocher macrotriangles
Kosinka, J.; Barton, M. (20181031)A numerical integration rule for multivariate cubic polynomials over ndimensional simplices was designed by Hammer and Stroud [14]. The quadrature rule requires n + 2 quadrature points: the barycentre of the simplex and ... 
Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors
Barton, M.; AitHaddou, R.; Calo, V.M. (20170322)We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ... 
Generalization of the Pythagorean Eigenvalue Error Theorem and its Application to Isogeometric Analysis
Barton, M.; Calo, V.M.; Deng, Q.; Puzyrev, V. (20181013)This chapter studies the effect of the quadrature on the isogeometric analysis of the wave propagation and structural vibration problems. The dispersion error of the isogeometric elements is minimized by optimally blending ... 
Geometry and tool motion planning for curvature adapted CNC machining
Barton, M.; Bizzarri, M.; Rist, F.; Sliusarenko, O.; Pottmann, H. (2021)CNC machining is the leading subtractive manufacturing technology. Although it is in use since decades, it is far from fully solved and still a rich source for challenging problems in geometric computing. We demonstrate ... 
Highlyaccurate 5axis flank CNC machining with conical tools
Calleja, A.; Bo, P.; González, H.; Barton, M.; Lopez de Lacalle, N. (201804)A new method for $5$axis flank computer numerically controlled (CNC) machining using a predefined set of tappered ballendmill tools (aka conical) cutters is proposed. The space of lines that admit tangential motion of ... 
Machining of developable ruled surfaces using mathematical algorithms
Calleja, A.; Gonzalez, H.; Polvorosa, R.; Amigo, F.; Gomez, G.; Fernandez, P.; Barton, M.; Bo, P.; de Lacalle, N. (2020) 
Manufacturing of screw rotors via 5axis doubleflank CNC machining
Bizzarri, M.; Barton, M. (202011)We investigate a recently introduced methodology for 5axis flank computer numerically controlled (CNC) machining, called doubleflank milling [1]. We show that screw rotors are well suited for this manufacturing approach ...