kinematic geometry of surface machining

... .2.3 Machining of Cylinder Surfaces 475 11 .2.4 Reinforcement of Surfaces of. .. Part I  Basics 1   Part Surfaces: Geometry 3 1. 1  Elements of Differential Geometry of Surfaces ... The method is devel- oped on the premises of wide use of Differential Geometry of surfaces, and of elements of Kinematics of multiparametric motion of rigid body in Euclid- ian space. Due to ... DG/K-based method of surface generation. The DG/K-based method is targeting synthesizing of optimal methods of part surface machining, and of optimal form-cutting tools for machining of surfaces. A

Ngày tải lên: 13/08/2014, 09:20

... of circular diagrams of local surface patches to the needs of kinematical geometry of surface machining © 20 08 by Taylor & Francis Group, LLC 24 Kinematic Geometry of Surface. ... kind of mapping of one surface onto another surface; a novel analyti- cal method of investigation of the cutting-tool geometry; and a set of analytically described conditions of proper part surface ... Chapter 2. Kinematics of Surface Generation — The general- ized analysis of kinematics of sculptured surface generation is presented. Here, a generalized kinematics of instant relative motion of the

Ngày tải lên: 13/08/2014, 09:20

... Possibility of Replacement of Axodes with Pitch Surfaces Pitch surfaces in many cases of surface machining... the kinematic scheme of the cutting tool profiling Kinematic schemes of cutting ... kinematic scheme of surface generation only for nonagile kinematics of surface machining The nonagile kinematics of surface machining features the elementary relative motions of ... LLC 46 Kinematic Geometry of Surface Machining nonagile kinematics of surface generation can be considered as a particular (degenerated) case of agile kinematics of surface

Ngày tải lên: 13/08/2014, 09:20

... local -surface contact of surfaces of the first kind is identical to the true -surface contact of the surfaces 2 Consider line kind of contact of the surfaces...122 Kinematic Geometry ... 146 Kinematic Geometry of Surface Machining of surfaces contact is referred to as the true-line contact of the surfaces When two surfaces are in... the indicatrix of conformity (of ... analytical description of the geometry of contact of two surfaces for the needs of the theory of surfaces generation 4 .5. 3.1 On a Possibility of Implementation of Two of Plücker’s Conoids

Ngày tải lên: 13/08/2014, 09:21

... 184 Kinematic Geometry of Surface Machining of the parameter of motion w The theory of surface generation also deals with surfaces for which the enveloping surface is congruent to the moving surface ... kind of quasi-surface contact of the second kind be maintained instead A quasi-surface contact of the surfaces P and T yields avoidance of interference of the surface T within the interior of the ... Definition 4.3: Quasi-surface (of the second kind) contact of the surfaces P and T is a kind of point contact of the surfaces under which actual tangency of the surfaces is within the true-point contact to local-surface

Ngày tải lên: 13/08/2014, 09:21

... Two-Parametric Kinematic Schemes of Surface Generation Kinematic schemes of surface generation, those that feature two relative motions of the part surface P and of the generating surface T of the cutting ... form-cutting... problem of determining optimal parameters of the kinematic scheme of surface generation and of optimal parameters of the geometry of the generating surface of the form-cutting ... single-parametric kinematic scheme for derivation of the generating surface of the cutting tool. © 2008 by Taylor & Francis Group, LLC 196 Kinematic Geometry of Surface Machining Use of a single-parametric

Ngày tải lên: 13/08/2014, 09:21

... be considered as a line of intersection of the three surfaces, say of the generating surface T of the cutting tool, of the rake surface R s , and of the clearance surface C s . This requirement ... cutting edge of a precision form-cutting tool can be considered as a line of intersection of three surfaces: of the generating surface T of the cutting tool, of the rake surface R s , and of the ... 220 Kinematic Geometry of Surface Machining which the surface C s passes through the computed cutting edge of the form- cutting tool. Third, the conguration of the dened clearance surface

Ngày tải lên: 13/08/2014, 09:21

... of the angle of inclination λ s . 6.2.6 Diagrams of Variation of the Geometry of the Active Part of a Cutting Tool Analytical methods for the computation of actual values of the geometry of ... representation of the tool-in-use system. 6.3.3 Reference Planes Investigation of the impact of kinematics of a machining operation on actual (kinematical) values of geometry of the active part of a cutting ... Capabilities of the Analysis of Geometry of the Active Part of Cutting Tools Implementation of the vectorial method for the computation of geometry of the active part of a cutting

Ngày tải lên: 13/08/2014, 09:21

... LLC 302 Kinematic Geometry of Surface Machining 7.1.7 Spherical Indicatrix of Machinability of a Sculptured Surface The above-considered Gauss maps of the sculptured part surface and of the ... 292 Kinematic Geometry of Surface Machining form, say in terms of the rst and the second fundamental forms of the GMap P( ) of the given surface P. The rst fundamental form Φ 1 0.P of the ... Spherical map of a point of the surface P in the initial orientation of the work and after its optimal orientation. © 2008 by Taylor & Francis Group, LLC 296 Kinematic Geometry of Surface Machining

Ngày tải lên: 13/08/2014, 09:21

... rate of conformity of the generating surface of the tool to the sculptured surface — when normal radii of curvature of these surfaces in a current section by normal plane are of ... characteristic surfaces of the first kind, it is convenient to express all the elements of local topology of the R 1 -surface in terms of the corresponding elements of local topology of the surface ... principal curvatures of a surface [17] © 2008 by Taylor & Francis Group, LLC 350 Kinematic Geometry of Surface Machining The second fundamental tensor of the R 1 -surface can be expressed

Ngày tải lên: 13/08/2014, 09:21

... T of the cutting...382 Kinematic Geometry of Surface Machining of cut is approximately equal to the corresponding radius of normal curvature of the generating surface T of ... Convergence of the methods of computation of the closest distance of approach of the surfaces P and T © 2008 by Taylor & Francis Group, LLC 396 Kinematic Geometry of Surface Machining ... terms of geometry of the nominal part surface P and of the surface P ac of the elemen- tary surface cell. In order to solve the problem, an analytical local representa- tion of the surfaces

Ngày tải lên: 13/08/2014, 09:21

... of Optimal Surface Machining Operations Synthesis of optimal surface machining here means a development of a procedure of computation of the optimal parameters of a surface machining... ... functions of coordinates of the point K on the surface P, of coordinates of the point K on the surface T, of the angle µ of the local relative orientation of surfaces P and T, and of the direction ... implementation of the DG/K-method of surface generation. 9.1 Criteria of the Efficiency of Part Surface Machining The design of a sculptured surface machining process is an example of a problem

Ngày tải lên: 13/08/2014, 09:21

... coefcient of interference K int is a function of design parameters of the part surface being machined, of design parameters of the generating surface of the cutting tool, and of parameters of kinematics ... efficiency of turning of form surfaces of revolution can be increased if the proper control of the radius R T is introduced Kinematics of surface machining in the method of turning of ... of form surfaces of revolution [6] is capable of properly... axial profile, a method of turning of surfaces of revolution is proposed [16] In this method of surface machining,**

Ngày tải lên: 13/08/2014, 09:21

... is the name of an ASCII file containing coordinates of initial and end points of the line segments, at which the created surface has to be discontinuous. Similarly as in the case of the boundary ... 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 ... elements of the matrix P are used for the computation of weighted average. 3.7 Limits of the actual compilation The actual compilation contains several limits as for the maximal number of faults,

Ngày tải lên: 21/01/2014, 07:20

... spinor formulation of the theory. Most of the new results in this paper arise from a reformulation of scattering theory in accord with the above ideas. A new spinor formulation of the S-matrix is ... formulation of the Dirac equation in terms of the Dirac algebra can be replaced by an equivalent formulation in terms of STA. This has important implications. First, a representation of the γ µ by ... the physical significance of the γ µ is derived entirely from their representation of geometrical properties of spacetime. Second, imaginaries in the complex number field of the Dirac algebra are

Ngày tải lên: 27/03/2014, 11:52

... the surface turns toward the positive direction of the surface normal by: The deviation (in the normal direction) from the tangent plane of the surface, given a differential displacement of is: Turkowski ... Report No. KT-23 The Differential Geometry of Parametric Primitives Ken Turkowski 26 January 1990 Differential Properties of Parametric Surfaces A parametric surface is a function: where is a ... metric of differential length: so that the arc length of a curve segment, is given by: The differential surface area enclosed by the differential parallelogram is approximately: so that the area of

Ngày tải lên: 27/03/2014, 11:53

... is an official publication of the Ecological Society of America, the nations leading professional society of ecologists. Founded in 1915, ESA seeks to promote the responsible application of ecological ... U.S. and many other nations, inputs of P and N to agriculture in the form of fertilizers exceed outputs of those nutrients in the form of crops. • High densities of livestock have created situations ... that can decrease the flow of nonpoint P and N into surface waters. From our review of the available scientific information, we are confident that: • Nonpoint pollution of surface waters with P and

Ngày tải lên: 29/03/2014, 21:20

... with Tits’ theory of chamber complexes [T] and thus made the exposition of the theory entirely geometrical. The book contains a lot of exercises of different level of difficulty. Some of them may look ... the group of all isometries of ARn by Isom ARn 1.4.1 Fixed points of groups of isometries The following simple result will be used later in the case of finite groups of isometries... ... group of symmetries Sym ∆ of the set ∆ consists of all isometries of ARn which map ∆ onto ∆ Give examples of polytopes ∆ in AR3 such that 20 1 Sym ∆ acts transitively on the set of

Ngày tải lên: 31/03/2014, 16:16

... tasks of process planning. The recent intro- duction of parallel machines (mill-turn machining centers) can greatly reduce the total machining cycle time 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...

Ngày tải lên: 25/12/2013, 19:15

... j1 size of the grid = number of columns and rows of the matrix P Dx step of the grid in the x-direction Dy the step of the grid in the y-direction NB matrix of the nearest points K matrix of distances K max ... 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 ... y2 minimum and maximum of y-coordinates of points XYZ z1 , z2 minimum and maximum of z-coordinates of points XYZ ),( yxf interpolation / approximation function D planar domain of ),( yxf )(h γ variogram...

Ngày tải lên: 21/01/2014, 07:20