International Symposium on History of Machines and Mechanisms Proceedings HMM 2000 pp 291-300 | Cite as
A Historical Review of the Evolution of the Theory on Balancing of Mechanisms
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Abstract
This work deals with the historical aspects of the origins and the evolution of the balancing theory of mechanisms, the researchers and the countries where work has been conducted on this problem, the fundamental results obtained in the course of this century and the aspects in this evolution that are considered to be the most significant.
Keywords
Dynamics shaking force shaking moment balancingPreview
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References
- 1.Arakelian V.H. Equilibrage dynamique complet des mécanismes, Mech. and Mach. Theory, 33 (4), 425436 (1998).Google Scholar
- 2.Arakelian V.H., Smith M.R. Complete shaking force and shaking moment balancing of linkages, Mech. and Mach. Theory, 34 (8), 1141–1153 (1999).Google Scholar
- 3.Arakelian V.H. Synthèse dynamique des mécanismes basée sur les methodes d’approximation de la géométrie cinématique. Proc. of the Ninth World Congress on the Theory of Machines and Mechanisms, Italy, 1, 205–209 (1995).Google Scholar
- 4.Artobolevskii I.I., Edelshtein B.V. Methods of inertia calculation for mechanisms of agricultural machines (Russian), Moscow, Ed. Selkhozizdate (1935).Google Scholar
- 5.Artobolevskii I.I. Methods of balancing of inertia forces in working machines with complex kinematic schemes (Russian), Moscow, Ed. Acad. Naouk SSSR (1938).Google Scholar
- 6.Artobolevckii I.I. Mechanism and machine theory, Ed. Naouka, Moscow, 644p. (1988).Google Scholar
- 7.Bagci C. Complete shaking force and shaking moment balancing of link mechanisms using balancing idler loops, TransASME, 104, April, 482–493 (1982).Google Scholar
- 8.Belonovskaya I.D., Dimentberg F.M., Maysuk L.B. Construction of the self-balanced spatial mechanisms, Machinovedenie, Moscow, n° 1, 3–9 (1987).Google Scholar
- 9.Berestov L.V. Full dynamic balancing of pinned four-bar linkage (Russian), Izv. Vyssh. Uchebn. Zaved. Series: Machinostroenie, 11, 62–65 (1975).Google Scholar
- 10.Berestov L.V. Comparative analysis of the reactions in the kinematic pairs of the four-bar linkages for the different methods of balancing, Mechanics of machines, Moscow, Ed. Nauka, 61–70 (1977).Google Scholar
- 11.Berkof R.S., Lowen G.G. A new method for completely force balancing simple linkages, TransASME, Eng. Ind., 91 B (1), 21–26 (1969).Google Scholar
- 12.Berkof R.S., Lowen G.G. Theory of shaking moment optimization of force-balanced four-bar linkages, TransASME, 93B (1), 53–60 (1971).Google Scholar
- 13.Berkof R.S. Complete force and moment balancing inline four-bar linkages, Mech. and Mach. Theory, 8, 397–410 (1973).Google Scholar
- 14.Berkof R.S., Lowen G.G., Tepper F.R. Balancing of linkages, Shock and Vibration Digest 9 (6), 3–10 (1977).Google Scholar
- 15.Bessonov A.P. Dynamics of the mechanisms with variable mass links, Moscow, Ed. Nauka, 2’78p. (1967).Google Scholar
- 16.Bessonov A.P. Balancing a planar mechanism with variable mass links, Mechanisms Conference of ASME, Paper n° 68-Mech-67, Atlanta, Georgia, (1968).Google Scholar
- 17.Carson W.L., Stephens J.M. Feasible parameter design spaces for force and root-mean-square moment balancing on in-line 4R 4-bar linkage synthesized for kinematic criteria, Mech. and Mach. Theory, 13 (6), 649–658 (1978).Google Scholar
- 18.Chen N., Zhang Q. A method for full shaking force balancing of spatial linkages and the relevant force balancing theory, Proc. of the Sixth World Congress on the Theory of Machines and Mechanisms, New Delhi, 1, 329–332 (1983).Google Scholar
- 19.Chen N. Complete shaking force balancing of spatial linkages, Mech. and Mach. Theory, 19 (2), (1984).Google Scholar
- 20.Chen N. Partial balancing of spatial force of a spatial four-bar RCCC linkage by the optimization method, Mech. and Mach. Theory, 19 (2) 257–265, (1984).Google Scholar
- 21.Chiou S.T., Tsai R.J. The ideal shaft locations of three-rotating-mass balancers for spatial mechanisms, Mech. and Mach. Theory, 30 (3), 405–416 (1995).Google Scholar
- 22.Conte F.L., George G.R., Mayne R.W., Sadler J.P. Optimum mechanisms design combining kinematic and dynamic-force consideration, Engineering for Industry, May, 662–668 (1975).Google Scholar
- 23.Cormac P. A treatise on engine balance using exponentials. E.P. Dutton, New York (1923).Google Scholar
- 24.Dalby W.E. The balancing of engines, Ed Arnnold, London (1923).Google Scholar
- 25.Davies T.H. The kinematics and design of linkages, balancing mechanisms and machines, Machine Design Eng., 40 (March), 40–51 (1968).Google Scholar
- 26.Delagne G. Certaines propriétés générales d’équilibrage des machines à piston d’après la méthode des vecteurs tournants symétriques. C.R. Acad. Sci. 206 (22), 1617–1618 (1938).Google Scholar
- 27.Doucet E. Equilibrage dynamique des moteurs en ligne. Tech. Automobile et Arienne, v.37, pp. 30–31, 35–37, 55–56, 230–232 (1946).Google Scholar
- 28.Dresig H., Naake S., Rockausen L. Vollständiger und harmonischer Ausgleich ebener Mechanismen,VDI Verlag, Düsseldorf, 73p. (1994).Google Scholar
- 29.Dresig H., Schönfeld S. Trägheitskraftausgleich für ebene Koppelgetriebe, Wiss. Techn. Univ. Dresden, 20 (5), 1341–1349 (1971).Google Scholar
- 30.Dresig H., Jacobi P. Vollständiger Trägheitskraftausgleich von ebenen Koppelgetrieben durch Anbringen eines Zweischlages, Maschinenbautechnik, 23 (1), 5–8 (1974).Google Scholar
- 31.Dresig H., Schönfeld S. Rechnergestützte Optimierung der Antribs-und Gestellkraftgrössen ebene. Koppelgetriebe-Teil 1, Mech. and Mach. Theory, 11, 363–370 (1976).Google Scholar
- 32.Dresig H., Schönfeld S. Rechnergestützte Optimierung der Antribs-und Gestellkraftgrössen ebene. Koppelgetriebe-Teil 2, Mech. and Mach. Theory, 11, 371–379 (1976).Google Scholar
- 33.Elliot J.L., Tesar D. The theory of torque, shaking force and shaking moment balancing of four link mechanisms, TransASME, 99B (3), 715–722 (1977).Google Scholar
- 34.Elliot J.L., Tesar D. A general mass balancing method for complex planar mechanisms, Mech. and Mach. Theory, 17 (2), 153–172 (1982).Google Scholar
- 35.Emöd I. Massenausgleich am Kurbelgertiebe von Sechszylinder-viertakt-V-motoren mit 6 Kurbeln und 60° Zylinderwinkeln, Period. Polytechn. Engng. 11 (3–4), 205–221 (1967).Google Scholar
- 36.Esat I., Bahai H. A theory of complete force and moment balancing of planar linkage mechanisms, Mech. and Mach. Theory, 34, 903–922 (1999).Google Scholar
- 37.Feng G. Complete shaking force and shaking moment balancing of four types of six-bar linkages, Mech. and Mach. Theory, 24 (4), 275–287 (1989).Google Scholar
- 38.Feng G. Complete shaking force and shaking moment balancing of 17 types of eight-bar linkages only with revolute pairs, Mech. and Mach. Theory, 26 (2), 197–206 (1991).Google Scholar
- 39.Feng G.. Complete shaking force and shaking moment balancing of 26 types of four-, five-and six-bar linkages with prismatic pairs, Mech. and Mach. Theory, 23 (2), 183–192 (1990).Google Scholar
- 40.Fischer O. Über die reduzierten Systeme und die Hauptpunkte der Glieder eines Gelenkmechanismus, Zeif. für Math. and Phys., 47, 429–466 (1902).Google Scholar
- 41.Freudenstein F. Quasi lumped-parameter analysis of dynamical systems, Proc. 3rd Appl. Mech. Conf., Paper n°27, Oklahoma State University, (1973).Google Scholar
- 42.Freudenstein F., Macey J.P., Make E.R. Optimum balancing of combined pitching and yawing moments in high-speed machinery, TransASME, 103 (3), 571–577 (1981).Google Scholar
- 43.Gappoev T.T., Tabouev D.B. Peculiarities of the dynamic balancing of spatial four-bar mechanisms, Proc. of the V World Congress on TMM, Canada, 2, 1420–1423 (1979).Google Scholar
- 44.Gappoev T.T. Singularities of the balancing of the spatial mechanisms, Balancing of the machines and the apparatuses, Moscow, ed. Mechanical engineering, 243–251 (1979).Google Scholar
- 45.Gappoev T.T., Tabouev D.B. Balancing of spatial mechanisms, Dynamics of machines, Moscow, Ed. Nauka, 50–56, (1980).Google Scholar
- 46.Gappoev T.T., Salamonov M.S. Some problems of balancing of agricultural machines, Conference of the Soviet Union: Modern methods of balancing of the machines and the apparatuses, Moscow, 49–50 (1983).Google Scholar
- 47.Goryachkin V.P. The forces of inertia and their balancing (Russian). Collection of scientific works. Ed. “Kolos”, Moscow, 283–418 (1914).Google Scholar
- 48.Gheronimus Y.L. On the application of Chebychev’s methods to the problem of balancing mechanisms, Mechanisms, 3 (4), 235–281 (1968).Google Scholar
- 49.Gheronimus Y.L. An approximate method of calculating a counterweight for the balancing of vertical inertia forces, Mechanisms, 3 (4), 283–288 (1968).Google Scholar
- 50.Grossley F.R. Dynamics in machines, New York, Roland Press (1954).Google Scholar
- 51.Hilpert H. Weight balancing of precision mechanical instruments, Mechanisms, 3 (4), 289–302 (1968).Google Scholar
- 52.Ishida K., Matsuda T. Performance characteristics and working comfortableness of forest workers of a new non-vibration chain saw utilizing perfectly balanced rotation reciprocation device, Proc. 5th World Congress on Theory of Machines and Mechanisms, Montreal, Canada, 2, 951–954 (1979).Google Scholar
- 53.Ishida K., Matsuda T. Vibrations on vibrationless rotation-reciprocation internally geared device, and on vibrationless chain saw utilizing this device, Transaction of ASME, Paper 77-DET-157 (1977).Google Scholar
- 54.Jacobi P. Vollständiger Trägheitskraftausgleich bei mehrgliedrigen Koppelgetrieben, Maschinenbautechnik, 18 (11), 605–606 (1969).Google Scholar
- 55.Jacobi P. Bestimmung Optimaler Koppelgetriebe nach dem Hauptkriterium “Krefte and Moment am Gestell”, Wissenschatliche Zeitshrift der Technischen Hochscule, Karl-Marx-Stadt, 14 (1), 45–49 (1972).Google Scholar
- 56.Jacobi P, Rose W. Experimentelle Untersuchung Dynamisch Ausgelgïchener ebener Koppelgetriebe, Maschinenbautechnik, 21 (8), 354–358 (1972).Google Scholar
- 57.Kamenski V.A. On the question of the balancing of plane linkages, Mechanisms, 3 (4), 303–322 (1968).Google Scholar
- 58.Kamenski V.A. On the problem of the number of counterweights in the balancing of plane linkages, Mechanisms, 3 (4), 323–333 (1968).Google Scholar
- 59.Kaufman R.E., Sandor G.N. Complete force balancing of spatial linkages, TransASME, 93B (2), 620626 (1971).Google Scholar
- 60.Kobayashi A. Analytical study of crank effort in reciprocating engines, Ryojun College Eng–Memoirs IV (3), 127–183 (1931).Google Scholar
- 61.Kochev I.S. General method for full force balancing of spatial and planar linkages by internal mass redistribution, Mech. and Mach. Theory, 22 (4), 333–341 (1987).Google Scholar
- 62.Kochev I.S. A new general method for full force balancing of planar linkages, Mech. and Mach. Theory, 23 (6), 475–480 (1988).Google Scholar
- 63.Kochev I.S., Gurdev G. General criteria for optimum balancing of combined shaking force and shaking moment in planar linkages, Mech. and Mach. Theory, 23 (6), 481–489 (1988).Google Scholar
- 64.Kochev I.S., Gurdev G.H. Balancing of linkages under the combined action of inertia and external forces, Mech. and Mach. Theory, 24 (2), 93–98 (1989).Google Scholar
- 65.Kochev I.S. Full shaking moment balancing of planar linkages by a prescribed input speed fluctuation, Mech. and Mach. Theory, 25 (4), 459–466 (1990).Google Scholar
- 66.Kochev I.S. Theory of symmetrical mechanisms, Mech. and Mach. Theory, 25 (4), 467–478 (1990).Google Scholar
- 67.Kochev I.S. Contribution to the theory of torque, shaking force and shaking moment balancing of planar linkages, Mech. and Mach. Theory, 26 (3), 275–284 (1991).Google Scholar
- 68.Kochev I.S. Optimum balancing of a class of multiloop linkages by function cognate transformations, Mech. and Mach. theory, 26 (3), 285–297 (1991).Google Scholar
- 69.Kochev I.S. Root-mean-square shaking force along a given direction, Mech. and Mach. Theory, 27 (1), 37–43 (1992).Google Scholar
- 70.Kochev I.S. Active balancing of the frame shaking moment in high speed planar machines, Mech. and Macn. Theory, 27 (1), 53–58 (1992).Google Scholar
- 71.Kochev I.S. Balancing of planar linkages for prescribed principal axes and minor/major ratio of the r.m.s. shaking force, Mech. and Mach. Theory, 27 (1), 45–51 (1992).Google Scholar
- 72.Kochev I.S. Qualitative theory of the reactions and stresses in high speed planar linkages, Mech. and Mach. Theory, 27 (1), 59–68 (1992).Google Scholar
- 73.Kochev I.S. Planar assemblies of sub-linkages with optimal dynamic characteristics, Mech. and Mach. Theory, 27 (3), 275–282 (1992).Google Scholar
- 74.Kreutzinger R. Über die Bewegung des Schwerpunktes beim Kurbelgetriebe, Getriebetechnik, 10 (9), 397–398 (1942).Google Scholar
- 75.Lanchester F.M. Engine balancing. Horseless Age, 33 (12–16), Mar. 25, Apr. 1,8,15, 22, pp. 494–498, 536–538, 571–572, 608–610, 644–646 (1914).Google Scholar
- 76.Lowen G.G., Berkof R.S. Survey of Investigation into the Balancing of Linkages, Mech. and Mach. Theory, 3, 221–231 (1968).Google Scholar
- 77.Lowen G.G., Berkof R.S. Theory of Shaking Moment Optimization of Force-Balanced Four-Bar Linkages, TransASME, MECH-12 (1970).Google Scholar
- 78.Lowen G.G., Berkof R.S. Determination of Force-Balanced Four-Bar Linkages with Optimum Shaking Moment Characteristics, TransASME, MECH-8 (1970).Google Scholar
- 79.Lowen G.G., Tepper F.R., Berkof R.S. Balancing of Linkages–an Update, Mech. and Mach. Theory, 18 (3), 213–230 (1983).Google Scholar
- 80.Maxwell R.L. Kinematics and dynamics of machinery, Prentice-Hall, Englewood Cliffs, N.J. (1960).Google Scholar
- 81.Offt C. Experimentelle Untersuchungen an Koppelgetrieben mit Leistungausgleich, Mech. and Mach. Theory, 9, 239–246 (1974).Google Scholar
- 82.O’Leary J.M., Gatecliff G.W. Computer aided balance of single-cylinder slider-crank JC engines, SAE Techn. Pap. Ser., n° 891767, 128–141 (1989).Google Scholar
- 83.Porter B., Sandler D. Synthesis of dynamically optimal four-bar linkage, Mechanisms, 24–28 (1973).Google Scholar
- 84.Qi N.M., Pennestri E. Optimum balancing of four-bar linkages, Mech. and Mach. Theory, 26(3), 337348 (1991).Google Scholar
- 85.Rao A.C. Elastodynamic balancing of machines, Machine Design, n°6, 92–93 (1977).Google Scholar
- 86.Root R.E. Dynamics of engine and shaft. John Wiley, New York (1932).Google Scholar
- 87.Sadler J.P., Mayne R.W. Balancing of mechanisms by non-linear programming, 3rd App. Mech. Conf., Oklahoma State Univ., 29 (17), 1–29 (1973).Google Scholar
- 88.Sadler J.P. Balancing of six-bar linkages by non-linear programming, Mech. Eng., 1, 139–144 (1975).Google Scholar
- 89.Sconfeld S. Dynamische Synthese ebener Koppelgetriebe mide dun Programm–system KOGEOP, Maschinenbautechnik, 23 (3), 119–124 (1974).Google Scholar
- 90.Semenov M.V. The synthesis of balanced plane mechanisms, Mechanisms, 3 (4), 339–353 (1968).Google Scholar
- 91.Semenov M.V. Balancing of spatial mechanisms, Mechanisms, 3 (4), 355–365 (1968).Google Scholar
- 92.Schcepetilnikov V.A. The determination of the mass centers of mechanisms in connection with the problem of mechanism balancing, Mechanisms, 3 (4), 367–389 (1968).Google Scholar
- 93.Schcepetilnikov V.A. The balancing of mechanisms with unsymmetrical links, Mech. and Mach. Theory, 10 (6), 461–466 (1975).Google Scholar
- 94.Schcepetilnikov V.A. Balancing of mechanisms, Moscow, Ed. Mashinostroenie, 256p. (1982).Google Scholar
- 95.Smith M.R., Maunder L. Inertia forces in a four-bar linkage, Mechanical Engineering Science, 9 (3) 218225 (1967).Google Scholar
- 96.Smith M.R. Dynamic analysis and balancing of linkages with interactive computer graphics, Computer Aided Design, 7 (1), 15–19 (1975).Google Scholar
- 97.Smith M.R., Walker M.J. Planar linkages, Journal Eng. Mater. and Design, 20 (10), 27–29 (1976).Google Scholar
- 98.Smith M.R., Oldham K, Walker M.J. Linkage balancing, Eng. Materials and Design, 21 (1), 47–50 (1977).Google Scholar
- 99.Smith M.R., Oldham K., Walker M.J. Linkage design, Eng. Materials and Design, 21 (10), 29–31 (1977).Google Scholar
- 100.Talbourdet G.L., Shepler P.R. Mathematical solution of 4-bar linkages–IV. Balancing of linkages, Machine Design, n° 13, 73–77 (1941).Google Scholar
- 101.Tepper F.R., Lowen G.G. On the distribution of the RMS shaking moment of unbalanced planar mechanisms. Theory of isomomental ellipses, Transaction of ASME, 72-MECH-4 (1972).Google Scholar
- 102.Tepper F.R., Lowen G.G. General theorems concerning full force balancing of planar linkages by mass redistribution, TransASME, 94B (3), 789–796 (1972).Google Scholar
- 103.Tepper F.R., Lowen G.G. Shaking force optimization of four-bar linkage with adjustable constraints on ground bearing forces, TransASME, 97B (2), 643–651 (1975).Google Scholar
- 104.Tricamo S.J., Lowen G.G. A new concept for force balancing machines for planar linkages. Part 1: Theory, TransASME, 103 (3), 637–642 (1981).Google Scholar
- 105.Tricamo Si., Lowen G.G. A new concept for force balancing machines for planar linkages. Part 2: Application to four-bar linkage and experiment, TransASME, 103 (4), 784–792 (1981).Google Scholar
- 106.Tricamo S.J., Lowen G.G. A new method for prescribing the maximum shaking force of a four-bar linkage with flexibility in counterweight design, TransASME, 105 (3), 513–522 (1983).Google Scholar
- 107.Tricamo S.J., Lowen G.G. Simultaneous optimization of dynamic reactions of a four-bar linkage with prescribed maximum shaking force, TransASME, 105 (3), 522–528 (1983).Google Scholar
- 108.Urba A.L. Disposition of the correction mass for the best balancing of planar linkages, Collection: Balancing of machines and apparatuses, Moscow, Ed. Mechanical engineering, 226–230 (1978).Google Scholar
- 109.Urba A.L. Study of the elliptic harmonics and the possibility of their balancing by a counterweight, Collection of the scientific works of the Academy of agricultural science of Lithuania, 26 (3/28), 43–49 (1980).Google Scholar
- 110.Urba A.L. Geometric disposition of the points with r.m.s. value of shaking moment of spatial mechanisms, Collection of the scientific works of the Academy of agricultural science of Lithuania, 27 (3/89) 40–49 (1981).Google Scholar
- 111.Walker M.J., Haines R.S. A study of counterweight synthesis for a six-bar chain, Mech. and Mach. Theory, 17 (5), 327–334 (1982).Google Scholar
- 112.Walker M.J., Haines R.S. An experimental study of the effects of counterweights on a six-bar chain, Mech. and Mach. Theory, 17 (6), 355–360 (1982).Google Scholar
- 113.Wawrzecki J. A method of the balancing of spatial mechanisms, Mech. and Mach. Theory, 33 (8) 11951209 (1998).Google Scholar
- 114.Wawrzecki J.. The conditions of optimal balancing spatial mechanisms, Proceedings of the Tenth World Congress on Theory of Machines and Mechanisms, Oulu, Finland, 4, 1589–1594 (1999).Google Scholar
- 115.Wiederrich J.L., Roth B. Momentum balancing of four-bar linkages, TransASME, 98B (4), 1289–1295 (1976).Google Scholar
- 116.Yu Yue-Qing. Research on complete shaking force and shaking moment balancing of spatial linkages, Mech. and Mach. Theory, 22 (1), 27–37 (1987).Google Scholar
- 117.Yu Yue-Qing. Optimum shaking force and shaking moment balancing of the RSS’R spatial linkage, Mech. and Mach. Theory, 22 (1), 39–45 (1987).Google Scholar
- 118.Yu Yue-Qing. Complete shaking force and shaking moment balancing of spatial irregular force transmission mechanisms using additional link, Mech. and Mach. Theory, 23 (4), 279–285 (1988).Google Scholar
- 119.Yu Y.Q., Smith M.R. The effect of link form on the dynamic response of flexible mechanisms, Proc. of 9th World Congress on the Theory of Machines and Mechanisms, Milan, Italy (1995).Google Scholar
- 120.Yudin V.A. The balancing of machines and their stability (Russian). “Edition of Academy of Red Army”, Moscow, 124p. (1941).Google Scholar
- 121.Zhang S. A constitutive method of objective function for the dynamic optimum balance of shaking force in linkage, Mech. and Mach. Theory, 29 (6), 829–835 (1994).Google Scholar
- 122.Zang S., Chen J. The optimum balance of shaking force and shaking moment of linkages, Mech. and Mach. Theory, 30 (4), 589–597 (1995).Google Scholar
- 123.Zobairi M.A.K., Rao S.S., Sahay B. Kinetoelastodynamic balancing of 4R-four-bar mechanisms combining kinematic and dynamic stress consideration, Mech. and Mach. Theory, 21 (4), 307–315 (1986).Google Scholar
- 124.Zobairi M.A.K., Rao S.S., Sahay B. Kinetoelastodynamic balancing of 4R-four-bar mechanisms by internal mass redistribution, Mech. and Mach. Theory, 21 (4), 317–323 (1986).Google Scholar
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