author of kinematic geometry of surface machining

Ngày tải lên: 27/06/2014, 05:20

Ngày tải lên: 27/06/2014, 08:20

Ngày tải lên: 05/09/2013, 17:03

... sum of the product i × L i . Hence,  i iL i = 2e. (2.7) Let v k denote the number of vertices of degree k, namely,v 2 denotes the number of vertices of degree two, v 3 the number of vertices of ... and chords. The arcs of G consist of all the elements of E that form the spanning tree T , whereas the chords consist of all the elements of E that are not in T . The union of the arcs and chords constitutes ... detailed descriptions of the theory. 2.1 Definitions A graph consists of a set of vertices (points) together with a set of edges or lines. The set of vertices is connected by the set of edges. Let the...

Ngày tải lên: 17/12/2013, 13:15

... of computer-aided kinematic and dynamic analysis of mechanisms. For example, Freudenstein and Yang [7] applied the theory of fundamental circuits for the kinematic and static force analysis of ... 1970, Synthesis of Kinematic Structure of Geared Kinematic Chains and other Mechanisms, Journal of Mechanisms, 5, 357–392. [2] Chatterjee, G. and Tsai, L.W., 1994, Enumeration of Epicyclic-Type ... different kinematic representations of four epicyclic gear trains. 3.4.1 Advantages of Using Graph Representation The advantages of using the graph representation are: 1. Many network properties of...

Ngày tải lên: 17/12/2013, 13:15

... Symbol Number of vertices v Number of links n Number of edges e Number of joints j Number of vertices of degree iv i Number of links having i joints n i Degree of vertex id i Number of joints on ... mechanisms 4.3 Degrees of Freedom The degrees of freedom of a mechanism is perhaps the first concern in the study of kinematics and dynamics of mechanisms. The degrees of freedom of a mechanism refers ... number of links, number of joints, and type of joints. It is also possible to establish an equation that relates the number of independent loops to the number of links and number of joints in a kinematic...

Ngày tải lên: 17/12/2013, 13:15

... trains, the number of gear pairs is equal to the number of independent loops; the number of turning pairs is equal to the number of links diminished by one; and the number of degrees of freedom is ... 7.1 summarizes the number of labeled nonisomorphic graphs in terms of the number of degrees of freedom and the number of independent loops. Appendix F provides an atlas of labeled graphs and typical ... structural characteristics. This results in a family of EGTs that have the same number of degrees of freedom and number of independent loops as that of the parent bar linkages. 5. Sketch the corresponding...

Ngày tải lên: 17/12/2013, 13:15

... Viewpoint of Kinematic Structure, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 105, 2, 259–266. [4] Freudenstein, F. and Maki, E.R., 1984, Kinematic Structure of Mechanisms for ... the functional requirements. Then, we translate some of the requirements into structural characteristics for the purpose of enumeration of the kinematic structures. Lastly, we apply the remaining ... evaluation of the kinematic structures. This results in a class of feasible mechanisms or design alternatives. Since we are primarily concerned with the enumeration and qualitative evaluation of various...

Ngày tải lên: 26/12/2013, 00:16

... of two-dof joints, and the third indicates the number of three-dof joints. For example, type 201 limb has two one-dof, zero two-dof, and one three-dof joints, whereas type 120 limb consists of one ... represents a family of parallel manipulators for which the number of limbs is equal to the number of degrees of freedom of the manipulator, and the total number of joint degrees of freedom in each ... character - istics of a mechanism. For example, the number of degrees of freedom is governed by Equation (4.3); the number of independent loops, number of links, and number of joints are related...

Ngày tải lên: 26/12/2013, 00:16

... by a com- puter program using a nested-do loops algorithm to vary the value of each x i and check for the validity of the solutions. A more rigorous procedure for solving one linear equation ... a method for solving one equation in n unknowns. Then, we extend the method to solving a system of m equations in n unknowns. A.1 Solving One Equation in n Unknowns Consider the following linear ... imposed: x i ≤ q i (constant) . (A.2) Since there are n unknowns in one equation, we may choose n − 1 number of unknowns arbitrarily and solve Equation (A.1) for the remaining unknown, provided that all the...

Ngày tải lên: 26/12/2013, 00:16

Ngày tải lên: 26/12/2013, 00:16

... to Eight Vertices. © 2001 by CRC Press LLC Appendix C Atlas of Graphs of Kinematic Chains This appendix provides an atlas of graphs of kinematic chains having up to three independent loops and...

Ngày tải lên: 26/12/2013, 00:16

... One-dof Eight-Bar Linkages: Part 3. © 2001 by CRC Press LLC Appendix D Atlas of Planar Bar Linkages This appendix provides an atlas of planar linkages classified according to the number of degrees ... CRC Press LLC Table D.2 Planar One-dof Six-Bar Linkages. Table D.3 Planar One-dof Eight-Bar Linkages: Part 1. © 2001 by CRC Press LLC Table D.10 Planar Two-dof Nine-Bar Linkages: Part 2. © 2001 ... LLC Table D.13 Planar Two-dof Nine-Bar Linkages: Part 5. © 2001 by CRC Press LLC Table D.11 Planar Two-dof Nine-Bar Linkages: Part 3. © 2001 by CRC Press LLC Table D.14 Planar Two-dof Nine-Bar Linkages:...

Ngày tải lên: 26/12/2013, 00:16

... E.1 Spatial One-dof Four-Link Chains. © 2001 by CRC Press LLC Table E.2 Spatial One-dof Five-Link Chains. © 2001 by CRC Press LLC Table E.3 Spatial One-dof Six-Link Chains. Table E.4 Spatial One-dof Seven-Link...

Ngày tải lên: 26/12/2013, 00:16

... Appendix F Atlas of Epicyclic Gear Trains This appendix provides an atlas of epicyclic gear trains classified according to the number of degrees of freedom, the number of independent loops, ... LLC Table F.10 Three-dof Epicyclic Gear Trains. © 2001 by CRC Press LLC Table F.2 One-dof Epicyclic Gear Trains: Three Independent Loops — Part 1. © 2001 by CRC Press LLC Table F.4 One-dof Epicyclic Gear ... F.9 Two-dof Epicyclic Gear Trains: Three Independent Loops. © 2001 by CRC Press LLC Table F.6 One-dof Epicyclic Gear Trains: Four Independent Loops — Part 2. © 2001 by CRC Press LLC Table F.1 One-dof...

Ngày tải lên: 26/12/2013, 00:16

... G.14 Transmission mechanism consisting of type-4200 and type-6206 gear trains: version 1. © 2001 by CRC Press LLC FIGURE G.15 Transmission mechanism consisting of type-4200 and type-6206 gear trains: ... 2001 by CRC Press LLC Appendix G Atlas of Epicyclic Gear Transmission Mechanisms This appendix provides the schematic diagrams and clutching sequences of some commonly used epicyclic transmission ... LLC FIGURE G.10 Transmission mechanism consisting of two type-4200 gear trains: version 1. © 2001 by CRC Press LLC FIGURE G.11 Transmission mechanism consisting of two type-4200 gear trains: version 2. ©...

Ngày tải lên: 26/12/2013, 00:16

... precisely by the set of edges GEOMETRY OF THE UNIFORM SPANNING FOREST 475 We will need the following known lemma, which is a corollary of the main result of von Weizs¨acker (1983). Its proof is included ... allow for future applications. The bulk of the paper is devoted to the proof of the upper bound on max N(x, y) in (1.1). We now present an overview of this proof. Let U (n) be the relation N(x, y) ... then dim S (LR) = min{dim S (L) + dim S (R),d} . GEOMETRY OF THE UNIFORM SPANNING FOREST 483 event has positive probability), is the union of E 1 with the set of edges of a UST on the graph obtained from...

Ngày tải lên: 14/02/2014, 17:20

... multidegree of X equals the sum of multidegrees of components of Y that happen also to be compo- nents of X. By hypothesis, the multidegrees of X and Y coincide, so the sum of multidegrees of the ... formulae for the multidegrees of ladder determi- nantal rings. The proofs of the main theorems introduce the technique of “Bruhat in- duction”, consisting of a collection of geometric, algebraic, ... closure Bw T B + of the B × B + orbit on M n through the permutation matrix w T . Thus X w is irreducible of dimension n 2 − length(w), and w T is a smooth point of it. Proof. The stability of X w under...

Ngày tải lên: 16/02/2014, 05:20

Ngày tải lên: 16/03/2014, 15:18

Ngày tải lên: 23/03/2014, 12:20