A systematic procedure for type synthesis of mechanisms with literature review literaturbe-sprechung

Abstract Type synthesis is the process of determining possible mechanism structures to perform a given task or combination of tasks without regard to the dimensions of the components. The “structure” or “topology” of a mechanism is defined by the number of links, the number of joints and their type (revolute, prismatic, etc.), the connectivity of the links and joints, and which links are to be considered ground and input(s). A systematic procedure for type synthesis, suitable for computer implementation, is introduced. The large body of literature pertaining to type synthesis is discussed in the context of the proposed procedure.

[1]  Bernard Roth,et al.  Kinematic Mappings. Part 2: Rational Algebraic Motions in the Plane , 1981 .

[2]  Robert Kraus.  Grundlagen des systematischen Getriebeaufbaus , 1952 .

[3]  Antoni Gronowicz,et al.  Some remarks on finding a solution for the structure when designing a mechanism , 1981 .

[4]  A. Lucifredi,et al.  Computer-aided automatic design , 1973 .

[5]  B. Paul,et al.  Dynamic Analysis of Machinery Via Program DYMAC , 1977 .

[6]  T. S. Mruthyunjaya,et al.  Structural Analysis of Kinematic Chains and Mechanisms Based on Matrix Representation , 1979 .

[7]  R. C. Johnson,et al.  Creative Design of Epicyclic Gear Trains Using Number Synthesis , 1967 .

[8]  K. H. Hunt,et al.  Structural Kinematics of In-Parallel-Actuated Robot-Arms , 1983 .

[9]  A. Raicu.  Matrices associated with kinematic chains with from 3 to 5 members , 1974 .

[10]  K. H. Hunt,et al.  Some Properties of Mechanically-Traceable Algebraic Loci , 1975 .

[11]  F. R. E. Crossley.  A Contribution to Gruebler’s Theory in the Number Synthesis of Plane Mechanisms , 1964 .

[12]  Hong-Sen Yan,et al.  Linkage Characteristic Polynomials: Definitions, Coefficients by Inspection , 1980 .

[13]  G. Chartrand,et al.  Introduction to the theory of graphs , 1971 .

[14]  H.-S. Yan,et al.  METHOD FOR THE IDENTIFICATION OF PLANAR LINKAGE CHAINS. , 1982 .

[15]  Donald R. Riley,et al.  SYNTHESIS OF SIX-BAR LINKAGES USING AN INTERACTIVE PACKAGE. , 1981 .

[16]  Hong-Sen Yan,et al.  Linkage Characteristic Polynomials: Assembly Theorems, Uniqueness , 1982 .

[17]  C F Earl.  The Representation of Kinematic Chains , 1979 .

[18]  Mr.S. Molian.  Storage and retrieval of description of mechanisms and mechanical devices according to kinematic type , 1969 .

[19]  Lee Harrisberger,et al.  A Number Synthesis Survey of Three-Dimensional Mechanisms , 1965 .

[20]  Ray C. Johnson,et al.  Mechanical Design Synthesis: Creative Design and Optimization , 1978 .

[21]  F.R.E. Crossley.  Structural classification and type synthesis of mechanisms with multiple elements: F. Buchsbaum: Dissertation Dr. Diss.—Columbia University, New York, 1967 , 1969 .

[22]  Delbert Tesar,et al.  The generalized concept of five multiply separated positions in coplanar motion , 1968 .

[23]  Arthur G. Erdman,et al.  TYPE AND DIMENSIONAL SYNTHESIS OF CASEMENT WINDOW MECHANISMS. , 1980 .

[24]  E. R. Maki,et al.  The Creation of Mechanisms According to Kinematic Structure and Function , 1979 .

[25]  R. C. Bogdan,et al.  Complex Harmonic Analysis of Plane Mechanisms. Programming on Digital Computers and Experimental Examples , 1969 .

[26]  F. Freudenstein,et al.  On a theory for the type synthesis of mechanisms , 1966 .

[27]  R. E. Kaufman,et al.  KINSYN III: A New Human-Engineered System for Interactive Computer-Aided Design of Planar Linkages , 1977 .

[28]  Ferdinand Freudenstein,et al.  Kinematics and statics of a coupled epicyclic spur-gear train , 1972 .

[29]  J. J. Uicker,et al.  A Generalized Symbolic Notation for Mechanisms , 1971 .

[30]  A. H. Soni,et al.  Synthesis of Kinematic Chains via Method of Cut-Set Matrix With Modulo-2 Operation , 1973 .

[31]  Bernard Roth,et al.  Kinematic Mappings. Part 1: Classification of Algebraic Motions in the Plane , 1981 .

[32]  Mr.A.A. Sherwood.  Type synthesis of spatial guidance linkages with moving spherical joints , 1969 .

[33]  C. P. Day,et al.  Kinematic Design and Analysis of Coupled Planetary Bevel-Gear Trains , 1983 .

[34]  A. E. Richard de Jonge.  THE STRUCTURE AND SYNTHESIS OF PLANE KINEMATIC CHAINS , 1967 .

[35]  Ferdinand Freudenstein,et al.  The basic concepts of Polya's theory of enumeration, with application to the structural classification of mechanisms , 1967 .

[36]  A. H. Soni,et al.  Application of Linear and Nonlinear Graphs in Structural Synthesis of Kinematic Chains , 1973 .

[37]  N. Manolescu,et al.  A method based on Baranov Trusses, and using graph theory to find the set of planar jointed kinematic chains and mechanisms , 1973 .

[38]  Ferdinand Freudenstein,et al.  An Application of Boolean Algebra to the Motion of Epicyclic Drives , 1971 .

[39]  Gerd Kiper.  Katalog einfachster Getriebebauformen , 1982 .

[40]  Donald R. Riley,et al.  INTRODUCTION TO AN EXPERT SYSTEMS APPROACH TO TYPE SYNTHESIS. , 1983 .

[41]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[42]  A. H. Soni.  Structural Analysis of Two General Constraint Kinematic Chains and Their Practical Application , 1971 .

[43]  Ferdinand Freudenstein,et al.  Development of an Optimum Variable-Stroke Internal-Combustion Engine Mechanism From the Viewpoint of Kinematic Structure , 1983 .

[44]  Donald R. Riley,et al.  An Algorithm for Automatic Sketching of Planar Kinematic Chains , 1985 .

[45]  B. Paul.  A Unified Criterion for the Degree of Constraint of Plane Kinematic Chains , 1960 .

[46]  N. Biggs.  Algebraic Graph Theory , 1974 .

[47]  T. S. Mruthyunjaya.  Structural synthesis by transformation of binary chains , 1979 .

[48]  F. R. E. Crossley,et al.  Structural Synthesis of a Four-Bit Binary Adding Mechanism , 1969 .

[49]  A. Verho.  An extension of the concept of the group , 1973 .

[50]  N I Manolescu.  A Unified Method for the Formation of All Planar Jointed Kinematic Chains and Baranov Trusses , 1979 .

[51]  J. A. Bondy,et al.  Graph Theory with Applications , 1978 .

[52]  J R Phillips.  On the Completeness of Kinematic Chains of Mobility Unity , 1979 .

[53]  Frank Harary,et al.  Graph Theory , 2016 .

[54]  J. Rooney,et al.  Some Kinematic Structures for Robot Manipulator Designs , 1983 .

[55]  Ferdinand Freudenstein,et al.  Synthesis of kinematic structure of geared kinematic chains and other mechanisms , 1970 .

[56]  S. Molian.  Notation and General Equations for the Kinematics of Planar Mechanisms , 1967 .

[57]  D. J. Sanger.  The structure of kinematic chains which contain links of maximum degree , 1974 .

[58]  Frank Erskine Crossley.  On an unpublished work of Alt , 1966 .

[59]  Trevor H. Davies,et al.  Structural analysis of plane linkages by Franke's condensed notation , 1966 .

[60]  L. S. Woo,et al.  Type Synthesis of Plane Linkages , 1967 .

[61]  J. Uicker,et al.  A method for the identification and recognition of equivalence of kinematic chains , 1975 .

[62]  C. D. Albert,et al.  Kinematics of machinery , 1931 .

[63]  E. Akbil,et al.  Kinematic Structure and Functional Analysis of Shaft Couplings Involving Pode Joints , 1983 .

[64]  H Rankers.  Synthese der umlaufenden zentrischen kurbelschleife zweiter art , 1978 .

[65]  Petru Nicolae Nitescu,et al.  On the structural synthesis and kinematic analysis of open-loop manipulation , 1980 .

[66]  B. Roth,et al.  Motion Synthesis Using Kinematic Mappings , 1983 .

[67]  Trevor H. Davies,et al.  An extension of Manolescu's classification of planar kinematic chains and mechanisms of mobility M ⩾ 1, using graph theory , 1968 .