Synthesis of kinematic structure of geared kinematic chains and other mechanisms

Journal of Mechanisms - Tập 5 - Trang 357-392 - 1970
F. Buchsbaum1, F. Freudenstein2
1Designatronics, Inc., Mineola, New York, 11501, U.S.A.
2Columbia University, New York, N.Y. 10032, U.S.A.

Tài liệu tham khảo

Artobolevskii, 1939, On the question of the structure and classification of kinematic chains with closed contours (in Russian), Dokl. Akad. Nauk Izv. Otd. tekh. Nauk, 4, 27 Artobolevskii, 1939, Foundations of a unified classification of mechanisms (in Russian), Dokl. Akad. Nauk Izv. Otd. tekh. Nauk, 10, 27 Assur, 1952 Babbage, 1826, On a method of expressing by signs the action of machinery, Phil. Trans. R. Soc., 2, 2, 250, 10.1098/rstl.1826.0022 Bottema, 1950, On Gruebler's formulae for mechanisms, Appl. scient. Res., 2, 162, 10.1007/BF00411980 Bottema, 1966, Kinematics and the theory of mechanisms, 85 Buchsbaum, 1967, Structural classification and type synthesis of mechanisms with multiple elements Buchsbaum, 1968, Structural classification and type synthesis of mechanisms with multiple elements Chebyshev, 1955 Crossley, 1964, A contribution to Gruebler's theory in the number synthesis of plane mechanisms, Trans. ASME. J. Engng. Ind., 89B, 1, 10.1115/1.3670442 Crossley, 1964, The Permutations of ten-link plane kinematic chains, Antriebstechnik, 3, 181 Crossley, 1964, The permutations of kinematic chains of eight members or less from the graph-theoretic viewpoint De Jonge, 1943, A brief account of modern kinematics, Trans. ASME, 65, 633 Denavit, 1955, A kinematic notation for lower-pair mechanisms based on matrices, J. appl. Mech. 22 Trans. ASME, 77, 215, 10.1115/1.4011045 Dobrjanskyj, 1966, Application of graph theory to the structural classification of mechanisms Dobrjansky, 1967, Some applications of graph theory to the structural analysis of mechanisms, ASME Trans., 89B, 153, 10.1115/1.3609988 Dobrovolski, 1951 Ferguson, 1962, Kinematics of Mechanisms from the Time of Watt., 185 Franke, 1948 Franke, 1951 Freudenstein, 1959, Trends in the kinematics of mechanisms, Appl. mech. Rev., 12, 2 Freudenstein, 1962, On the variety of motions generated by mechanisms, ASME Trans. J. Engng Ind., 81B, 156, 10.1115/1.3667397 Freudenstein, 1965 Freudenstein, 1964, On a Theory for Type Synthesis of Mechanisms, 420 Goodman, 1960, Four cornerstones of kinematic design Gruebler, 1883, Allgemeine Eigenschaften der zwangläufigen ebenen kinematischen Ketten, Part I, Civilingenieur, 29, 167 Gruebler, 1885, Allgemeine Eigenschaften der zwangläufigen ebenen kinematischen Ketten, Part II, Verh. Ver. Beford. Gew Fleis, 64, 179 Gruebler, 1917 Harrisberger, 1965, Number synthesis survey of three-dimensional mechanisms, ASME Trans. J. Engng. Ind., 87B, 213, 10.1115/1.3670797 Harrisberger, 1966, A Survey of three-dimensional mechanisms with one general constraint, ASME Paper No. 66-MECH-44 Hartenberg, 1955, A kinematic notation for lower-pair mechanisms based on matrices, J. appl. Mech., 22, 215, 10.1115/1.4011045 Hartenberg, 1964 Hinkle, 1955, Acceleration in mechanisms, J. appl. Mech., 22, 222, 10.1115/1.4011046 Jensen, 1962, On the classification of kinematic chains Jensen, 1965, Systematic mechanism design, ASME Paper No. 65-MD-37 Jensen, 1968, Kinematic space requirements and efficiency of coupled planetary gear systems, ASME Paper No. 68-Mech-45 Kalitzin, 1955, Gruppentheoretische Eigenschaften der Getriebe und Anwendung der Matrizenrechnung zur Berechnung von Getrieben, Acta tech. hung., 11, 449 Kolchin, 1958, Investigation of the development of extensions of the structural classification of mechanisms and the establishment of a structural table of mechanisms (Russian), 85 Levai, 1968, Structure and analysis of planetary gear trains, J. Mechanisms, 3, 131, 10.1016/0022-2569(68)90352-2 Macmillan, 1956, The Freedom of Linkages, Mathl Gaz., 34, 26, 10.2307/3610874 Manolescu, 1964, Une méthode unitaire pour la formation des chaînes cinematiques et des mechanismes plans articulés avec differents degrés de liberté et mobilité, Rev. roum. Sci. tech. Mech. Appl., 9, 1263 Manolescu, 1968, Structural synthesis of planetary mechanisms used in automatic transmissions, ASME Paper No. 68-Mech-44 Manolescu, 1968, For a united point of view in the study of the structural analysis of kinematic chains and mechanisms, J. Mechanisms, 3, 149, 10.1016/0022-2569(68)90353-4 Paul, 1960, A unified criterion for the degree of constraint of plane kinematic chains, J. appl. Mech., 27, 196, 10.1115/1.3643900 Reuleaux, 1876 Roessner, 1961, Zur Strukturellen Ordnung der Getriebe, Wissenschaftliche Zeitschrift der Technischen Universitat Dresden, 5, 1001 Rosenauer, 1953 Salyi, 1957, Die Rolle der kinematischen Ketten bei der Mechanik von Getrieben, Acta tech. hung., 20, 159 Somov, 1887, On the degree of freedom of the motion of kinematic chains (Russian), J. phys. chem. Soc. USSR, 19, 443 Sylvester, 1874, On recent discoveries in the mechanical conversion of motion Sylvester, 1870, Vol. 3, 7 Voinea, 1960, Contribution a l'étude de la structure des chaînes cinematiques, Bull. Inst. politech. Bucuresti, 22, 3 Whittaker, 1959, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 32 Whittaker, 1959, A Treatise on The Analytical Dynamics of Particles and Rigid Bodies, 70 Willis, 1941 Woo, 1867, Type synthesis of plane linkages, ASME Trans. J. Engng Ind., 89B, 159 Beckenbache, 1964 Berge, 1964 Busacker, 1965, Finite Graphs and Networks Chrystal, 1964 De Boer, 1962 Feller, 1957 Fiedler, 1963, Theory of Graphs and Its Applications Flament, 1963 Foster, 1932, Geometric circuits of electrical networks, Trans. Am. Inst. elect. Engrs, 51, 309, 10.1109/T-AIEE.1932.5056068 Freudenstein, 1967, The basic concepts of Polya's theory of enumeration, J. Mechanisms, 3, 275, 10.1016/0022-2569(67)90003-1 Gordon, 1966, Mathematics of Structure, International Science and Technology, 61 Griffin, 1954 Grossman, 1964 Harary, 1963, Enumeration of bicolourable graphs, Can. J. Math., 15, 237, 10.4153/CJM-1963-028-2 Harary, 1965 Hoover, 1962, Sixth and seventh virial coefficients for the parallel hardcube model, J. chem. Phys., 36, 3141, 10.1063/1.1732443 James, 1959 Kim, 1965, Study of graphs, its role in modern engineering, Columbia Univ. Q, 38, 8 Kim, 1962 Koenig, 1950 Macmahon, 1960 Ore, 1962 Ore, 1963 Polya, 1937, Kombinatorische Anzahlbestimmungen fuer Gruppen, Graphen und chemische Verbindugnen, Acta math., 68, 145, 10.1007/BF02546665 Polya, 1956, On picture writing, Am. math. Mon., 63, 689, 10.2307/2309555 Riordan, 1958 Ryser, 1963 Seshu, 1961 Sylvester, 1904 Turnbull, 1960 Uspensky, 1939 Whitesitt, 1961 Whitney, 1933, Planar graphs, Fundam. Math., 21, 73, 10.4064/fm-21-1-73-84 Whitney, 1932, Separable and planar graphs, Trans. Am. math. Soc., 34, 10.1090/S0002-9947-1932-1501641-2 Whitworth, 1965 Asimov, 1962 Buhl, 1960 Coons, 1963, An outline of the requirements for a computer-aided design system, 23 Delsatin, 1965, SELMA, a System of Simple Evaluation for Matrix-Tasks, Elektron. Daten., 6, 268 Farber, 1964, SNOBOL, a string manipulated language, J. ACM, 11, 1, 10.1145/321203.321207 Fisher, 1965 Goodman, 1965, Computer determination of isomorphisms in linear graphs Licklider, 1965, Man-computer partnership, Int. Sci. Technol., 18–26 Pearson, 1960 1960, 149 1964 Salton, 1966, Data manipulation and programming problems in automatic information retrieval, Communs ACH, 9, 204, 10.1145/365230.365267 Schmit, 1966, Automated design, Int. Sci. Technol., 63 Sokal, 1966, Numerical taxonomy, Scient. Am., 106–116 Sussenguth, 1965, A graph-theoretic algorithm for matching chemical structures, IBM Jl, 36 Sutherland, 1963, ‘Sketchpad’ a man-machine graphical communication system, 23 Unger, 1964, GIT-A heuristic program for testing pairs of directed line graphs for isomorphism, Communs ACM, 26, 10.1145/363872.363899 Van Dam, 1965, A survey of pictorial data processing techniques and equipment, Univ. of Penna Rep. No. 66-19, Con No. 551 Van Dam, 1966, A survey of pictorial data processing techniques and equipment, U.S. Govt. Res. & Devl. Rep. Nos. 41, 63 Benford, 1958, Planetary Gears, Mach. Des., 129 Chironis, 1967, Rearranged linkages create new planetary gear systems, Product Engng, 70 Edgement, 1957, Epicyclic Gears for Control Mechanisms, Product Engng, 194 Glover, 1964, Planetary gear systems, Product Engng, 59 Glover, 1965, Planetary gear system, Product Engng, 1, 72 Johnson, 1967, Creative design of epicyclic gear trains using number synthesis, ASME Trans. J. Engng. Ind., 89B, 309, 10.1115/1.3610045 Laughlin, 1956, Epicyclic gear systems, Mach. Des., 132 Massot, 1936, Trains Epicycloidaux, Soc. des Ing. Civils de France, 576 Merritt, 1947 Michalec, 1955, Gear Differentials, March. Des., 178 Myatt, 1964, Designing planetary gear trains, Mach. Des., 203 Polder, 1969 Poppinga, 1949 Radzimovsky, 1960, Planetary gear systems, Mach. Des., 190 Radzimovsky, 1959, Planetary gear drives, Mach. Des., 144 Radzimovsky, 1956, Planetary gear drives, Mach. Des., 101 Spotts, 1962, Adjustable speed epicyclic gear trains, Mach. Des. Strauch, 1950 Tuplin, 1957, Compound epicyclic gear trains, Mach. Des., 100 Wilson, 1931, Epicyclic gearing, 26, 216 Wilson, 1932, Epicyclic gearing, Auto. Engr, 22, 139 Wilson, 1932, Epicyclic gearing, Auto. Ind., 67, 384 Wunderlich, 1947, Hoehere Radlinien, Oest. Ing.-Arch., 1, 277 Wunderlich, 1950, Hoehere Radlinien, Oest. Ing.-Arch., 4, 3