author of kinematic geometry of surface machining
Tài liệu Enumeration of Kinematic Structures According to Function P2 doc
... sum of theproduct i × Li. Hence,iiLi= 2e. (2.7)Let vkdenote the number of vertices of degree k, namely,v2denotes the number of vertices of degree two, v3the 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 chordsconsist of all the elements of E that are not in T . The union of the arcs and chordsconstitutes ... detailed descriptions of the theory.2.1 DefinitionsA 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...
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Tài liệu Enumeration of Kinematic Structures According to Function P3 pptx
... 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 forceanalysis 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 geartrains.3.4.1 Advantages of Using Graph RepresentationThe advantages of using the graph representation are:1. Many network properties of...
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Tài liệu Enumeration of Kinematic Structures According to Function P4 ppt
... SymbolNumber of verticesvNumber of linksnNumber of edgeseNumber of jointsjNumber of vertices of degreeiviNumber of links havingijointsniDegree of vertexidiNumber of joints on ... mechanisms4.3 Degrees of FreedomThe 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 mechanismrefers ... number of links, number of joints, and type of joints. It is alsopossible to establish an equation that relates the number of independent loops to thenumber of links and number of joints in a kinematic...
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Tài liệu Enumeration of Kinematic Structures According to Function P7 doc
... trains, the number of gear pairs is equal to the number of independentloops; the number of turning pairs is equal to the number of links diminished by one;and the number of degrees of freedom is ... 7.1summarizes the number of labeled nonisomorphic graphs in terms of the number of degrees of freedom and the number of independent loops. Appendix F provides anatlas of labeled graphs and typical ... structuralcharacteristics. 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 parentbar linkages.5. Sketch the corresponding...
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Tài liệu Enumeration of Kinematic Structures According to Function P8 pdf
... 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 Mechanismsfor ... the functional requirements. Then, we translatesome 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...
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Tài liệu Enumeration of Kinematic Structures According to Function P9 doc
... of two-dof joints, and thethird indicates the number of three-dof joints. For example, type 201 limb has twoone-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 limbsis 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 governedby Equation (4.3); the number of independent loops, number of links, and number of joints are related...
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Tài liệu Enumeration of Kinematic Structures According to Function P10 ppt
... by a com-puter program using a nested-do loops algorithm to vary the value of each xiandcheck for the validity of the solutions. A more rigorous procedure for solving onelinear equation ... a method for solving one equation in n unknowns. Then, we extendthe method to solving a system of m equations in n unknowns.A.1 Solving One Equation in n UnknownsConsider the following linear ... imposed:xi≤ qi(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, providedthat all the...
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Tài liệu Enumeration of Kinematic Structures According to Function P12 pptx
... to Eight Vertices.© 2001 by CRC Press LLCAppendix CAtlas of Graphs of Kinematic ChainsThis appendix provides an atlas of graphs of kinematic chains having up to threeindependent loops and...
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Tài liệu Enumeration of Kinematic Structures According to Function P13 pdf
... One-dof Eight-Bar Linkages: Part 3.© 2001 by CRC Press LLCAppendix DAtlas of Planar Bar LinkagesThis appendix provides an atlas of planar linkages classified according to the number of degrees ... CRC Press LLCTable D.2Planar One-dof Six-Bar Linkages.Table D.3Planar One-dof Eight-Bar Linkages: Part 1.© 2001 by CRC Press LLCTable D.10Planar Two-dof Nine-Bar Linkages: Part 2.© 2001 ... LLCTable D.13Planar Two-dof Nine-Bar Linkages: Part 5.© 2001 by CRC Press LLCTable D.11Planar Two-dof Nine-Bar Linkages: Part 3.© 2001 by CRC Press LLCTable D.14Planar Two-dof Nine-Bar Linkages:...
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Tài liệu Enumeration of Kinematic Structures According to Function P14 pptx
... E.1Spatial One-dof Four-Link Chains.© 2001 by CRC Press LLCTable E.2Spatial One-dof Five-Link Chains.© 2001 by CRC Press LLCTable E.3Spatial One-dof Six-Link Chains.Table E.4Spatial One-dof Seven-Link...
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Tài liệu Enumeration of Kinematic Structures According to Function P15 pptx
... Appendix FAtlas of Epicyclic Gear TrainsThis appendix provides an atlas of epicyclic gear trains classified according to thenumber of degrees of freedom, the number of independent loops, ... LLCTable F.10Three-dof Epicyclic Gear Trains.© 2001 by CRC Press LLCTable F.2One-dof Epicyclic Gear Trains: Three Independent Loops — Part 1.© 2001 by CRC Press LLCTable F.4One-dof Epicyclic Gear ... F.9Two-dof Epicyclic Gear Trains: Three Independent Loops.© 2001 by CRC Press LLCTable F.6One-dof Epicyclic Gear Trains: Four Independent Loops — Part 2.© 2001 by CRC Press LLCTable F.1One-dof...
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Tài liệu Enumeration of Kinematic Structures According to Function P16 pdf
... G.14Transmission mechanism consisting of type-4200 and type-6206 geartrains: version 1.© 2001 by CRC Press LLCFIGURE G.15Transmission mechanism consisting of type-4200 and type-6206 geartrains: ... 2001 by CRC Press LLCAppendix GAtlas of Epicyclic Gear TransmissionMechanismsThis appendix provides the schematic diagrams and clutching sequences of somecommonly used epicyclic transmission ... LLCFIGURE G.10Transmission mechanism consisting of two type-4200 gear trains: version 1.© 2001 by CRC Press LLCFIGURE G.11Transmission mechanism consisting of two type-4200 gear trains: version 2.©...
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Tài liệu Đề tài " Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12, . . . " pptx
... precisely by the set of edges GEOMETRY OF THE UNIFORM SPANNING FOREST475We will need the following known lemma, which is a corollary of themain 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 onmax N(x, y) in (1.1). We now present an overview of this proof. Let U(n)bethe relation N(x, y) ... thendimS(LR) = min{dimS(L) + dimS(R),d} . GEOMETRY OF THE UNIFORM SPANNING FOREST483event has positive probability), is the union of E1with the set of edges of aUST on the graph obtained from...
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Tài liệu Đề tài "Gr¨obner geometry of Schubert polynomials " ppt
... multidegree of X equalsthe 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, ... closureBwTB+ of the B × B+orbit on Mnthrough the permutation matrix wT. ThusXwis irreducible of dimension n2− length(w), and wTis a smooth point of it.Proof. The stability of Xwunder...
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- much of the toxicity of hb has been linked to its redox activity; hb may generate reactive oxygen species
- chulalongkorn university in thailand this smalllab kit was created as a result of the research project entitled chemistry laboratory based on chemical safety and pollution minimization sponsored by thai research fund rdg 3072543 one of the outcomes of t
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- large scale acquisition of paraphrases for learning surface patterns
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