This paper deals with a solution to the problem of shaking force and shaking moment balancing of planar four-bar linkages. The conditions for balancing are formulated by the minimization of the root mean square (r.m.s.) value of the shaking moment. The method is based on displacements of the axes of rotation of the counterweights connected to the crank and rocker. The efficiency of the suggested method is illustrated by a numerical example in which a reduction in the shaking moment of 76 per cent is achieved.
KochevI. S.Full shaking moment balancing of planar linkages by a prescribed input speed fluctuationMechanism and Mach. Theory, 1990, 25 (4), 459–466.
5.
KochevI. S.Active balancing of the frame shaking moment in high-speed planar machinesMechanism and Mach. Theory, 1992, 27 (1), 53–58.
6.
BerestovL. V.A comparative analysis of reactions in four-bar linkages balanced by the different methodsMechanics Mach., Moscow, 1977, 61–70.
7.
GaoF.Complete shaking force and shaking moment balancing of 26 types of four-, five- and six-bar linkages with prismatic pairsMechanism and Mach. Theory, 1990, 23 (2), 183–192.
8.
YeZ.SmithM. R.Complete balancing of planar linkages by an equivalence methodMechanism and Mach. Theory, 1994, 29 (5), 701–712.
9.
ArakelianV. H.SmithM. R.Complete shaking force and shaking moment balancing of linkagesMechanism and Mach. Theory, 1999, 34 (8), 1141–1153.
10.
ZhangS.ChenJ.The optimum balance of shaking force and shaking moment of linkagesMechanism and Mach. Theory, 1995, 30 (4), 589–597.
11.
SmithM. R.MaunderL.Inertia forces in a four-bar linkageJ. Mech. Engng Sci., 1967, 9 (3), 218–225.
12.
SmithM. R.Dynamic analysis and balancing of linkages with interactive computer graphicsComputer Aided Des., 1975, 7 (1), 15–19.
13.
CarsonW.StephensL. J.M. Feasible parameter design space for force and root-mean-square moment balancing on in-line 4R four-bar linkage synthesized for kinematic criteriaMechanism and Mach. Theory, 1978, 13(6), 649–658.
14.
ElliottJ.TesarL.D.The theory of torque, shaking force and shaking moment balancing of four link mechanismsTrans. ASME J. Engng for Industry, 1977, 99 (3), 715–722.
15.
ElliottJ. L.TesarD.A general mass balancing method for complex planar mechanismsMechanism and Mach. Theory, 1982, 17 (2), 153–172.
16.
ArnoldR.WarburtonG.Balancing of six-bar linkages by non-linear programmingMech. Engng, 1975, 1, 139–144.
17.
Haines S. R. Minimum r.m.s. shaking moment or driving torque of a force-balanced four-bar linkage using feasible counterweights. Mechanism and Mach. Theory, 1981, 16(3), 185–190.
18.
LowenG. G.BerkofR. S.Determination of force-balanced four-bar linkages with optimum shaking moment characteristicsTrans. ASME, J. Engng for Industry, 1971, 93B (1), 39–46.
19.
BerkofR. S.LowenG. G.Theory of shaking moment optimization of force-balanced four-bar linkagesTrans. ASME, J. Engng for Industry, 1971, 93B (1), 53–60.
20.
WiederichJ. L.RothB.Momentum balancing of four-bar linkagesTrans. ASME, J. Engng for Industry, 1976, 98B (4), 1289–1295.
21.
SchepetilnikovV. A.Balancing of Mechanisms, 1982 (Mashinostroenie, Moscow).
22.
BerkofR. S.Complete force and moment balancing inline four-bar linkageMechanism and Mach. Theory, 1973, 8, 397–410.
23.
ArakelianV. H.Synthèse dynamique des mécanismes basée sur les méthodes d'approximation de la géométrie cinématique. In Proceedings of 9th World Congress on Theory of Machines and Mechanisms, Italy, 1995, Vol. 1, pp. 205–209.
