... expression of the optimal parameters of kinematics of the sculptured surfacemachining on a multi-axis NC machinein terms ofgeometryof the part surface and of the generating surfaceof theform-cutting ... Group, LLC KINEMATIC GEOMETRY OF SURFACE MACHINING â 2008 by Taylor & Francis Group, LLC 18 KinematicGeometryofSurfaceMachining surface P there exists a corresponding motion of a special ... book is limited to thoseparameters of the surface- machining process that can be expressed in terms of surfacegeometry and of kinematics of relative motion of the cutting tool.Historical BackgroundPeople...
... expression of the optimal parameters of kinematics of the sculptured surfacemachining on a multi-axis NC machinein terms ofgeometryof the part surface and of the generating surfaceof theform-cutting ... Elements ofGeometryof Active Part of a Skiving Hob 2776.4.2 Elements ofGeometryof the Active Part of a Cutting Toolfor Machining Modied Gear Teeth 2796.4.3 Elements ofGeometryof the Active ... KinematicGeometryofSurface Machining motion of the work and of the cutting tool at every instant of machining. An appropriate criterion of optimization is of critical importance.Relative motion of...
... expression of the optimal parameters of kinematics of the sculptured surfacemachining on a multi-axis NC machinein terms ofgeometryof the part surface and of the generating surfaceof theform-cutting ... of Contact of the Surfaces P and T 1384.6.1 On a Possibility of Implementation of the Indicatrix of Conformity for Identication of Kind of Contact of theSurfaces P and T 1384.6.2 Impact of ... KinematicGeometryofSurface Machining [ ](Ffr Limit feed rate per tooth of the cutting toolFfr Vector of the feed-rate motion of the cutting tool(Fss Magnitude of the side step of...
... The existence of open and closed sides of a surface P eliminates the â 2008 by Taylor & Francis Group, LLC 28 KinematicGeometryofSurface Machining motion of the work and of the cutting ... 30 KinematicGeometryofSurface Machining Implementation of the principle of inversion has proven convenient for the investigation of multiparametric surface generation.2.1.1 Establishment of ... instant kinematics of sculpture surface generation. â 2008 by Taylor & Francis Group, LLC 24 KinematicGeometryofSurface Machining circular diagrams of all possible local patches of a smooth,...
... parameters of geometryof the surface P, the kinematic schemes ofsurface generation specify the generating surfaceof the cutting tool, as well as the principal part of the kinematic structure of ... Francis Group, LLC 46 KinematicGeometryofSurface Machining nonagile kinematics ofsurface generation can be considered as a particular (degenerated) case of agile kinematics ofsurface generation, ... problem ofsurface generation, the true kinematic schemes ofsurfacemachining are used. This yields determination of the actual machined part surface Pact. Machining operations of actual surfaces...
... 110 KinematicGeometryofSurface Machining 4.4.2 Indicatrix of Conformity of the Surfaces P and TIntroduced in this section is a quantitative measure of the rate of conformity of two surfaces. ... cases of the surface s conguration. Application of Dupin’s indicatrix of the surface of relative curvature enables only approximate analytical descrip-tion of the geometryof contact of the surfaces. ... Francis Group, LLC 122 KinematicGeometryofSurface Machining An accounting of the members of higher order in the equation of Dupin’s indicatrix Dup(P/T) of the surfaceof relative curvature...
... tasks of process planning. The recent intro-duction of parallel machines (mill-turn machining centers) can greatly reduce the total machining cycletime required by the conventional sequential machining ... capability of activating i cutting tools ( I Ն i Ն 1) on distinct MUs, in parallel, either for the purpose of machining a single workpiece, or for the purpose of machining, ... operations. 3. 30 to 50% of total operations are of one machining mode [22]. Examples are randomly generated in the following manner: Step 1: Set L ϭ maximum number of levels in the precedence...
... j1size of the grid = number of columns and rows of the matrix PDx step of the grid in the x-directionDy the step of the grid in the y-directionNB matrix of the nearest pointsK matrix of distancesKmax ... Conservation of an extrapolation trend. - In the case of the Radial basis functions method the system of linear equation must be completed and solved for each node of grid and the main advantage of ... y2minimum and maximum of y-coordinates of points XYZz1 , z2minimum and maximum of z-coordinates of points XYZ),( yxfinterpolation / approximation functionD planar domain of ),( yxf)(hγvariogram...
... maximum of y-coordinates of points XYZz1 , z2 minimum and maximum of z-coordinates of points XYZi1 , j1 size of the grid = number of columns and rows of the matrix PPi,j elements of the ... 9Number of circulations= values of matrix KValues of matrix NB9 9 9 9 99 9 9 9 9Ordinal index of point XYZ 2.4.2 Shape of generated surface One of the first aspects evaluated by the user of ... matrix PZ vector of z-coordinates of points XYZDZ auxiliary vector with the same size as the vector Z13 step of grid in x-direction step of grid in y-directionpoints XYZnodes of grid Fig....
... number of boundar-ies (b) is limited to 100. 3.8.5 FaultsNAME.ZL is the name of an ASCII file containing coordinates of initial and end points of the line segments, at which the created surface ... name NAME.GRs. It contains the mat-rix i1xj1 of z-coordinates in the nodes of the grid. The format of the file is compatible with Surfer (Golden Software) grid file format:DSAAi1 j1x1 x2y1 ... it was decided to keep primary compatibility of input / output data formats with the Surfer software (see [S2]), be-cause the majority of related software uses Surfer data format either directly...