Balancing Conditions of Planar and Spatial Mechanisms in the Algebraic Form

This chapter deals with an approach to formulate balancing conditions for the shaking force and shaking moment of planar mechanisms and spatial mechanisms. In the Mechanism Theory, every Mechanism has p moving members and a non-moving frame. According to tradition, a planar 8R-eightbar mechanism is a multibody system with 7 moving bodies.

[1]  Subir Kumar Saha,et al.  Dynamics and Balancing of Multibody Systems , 2008 .

[2]  Hans Dresig,et al.  Dynamik der Mechanismen , 1989 .

[3]  Vigen Arakelian,et al.  Partial shaking moment balancing of fully force balanced linkages , 2001 .

[4]  Hans Dresig,et al.  Dynamics of Machinery , 2010 .

[5]  T. M Abdel-Rahman,et al.  Synthesis and dynamics of statically balanced direct-drive manipulators with decoupled inertia tensors , 1991 .

[6]  Nguyen Phong Dien,et al.  Balancing conditions of spatial mechanisms , 2007 .

[7]  R. S. Berkof.  Complete force and moment balancing of inline four-bar linkages , 1973 .

[8]  Clément Gosselin,et al.  Determination of the complete set of shaking force and shaking moment balanced planar four-bar linkages , 2009 .

[9]  E. J. Haug,et al.  Computer aided kinematics and dynamics of mechanical systems. Vol. 1: basic methods , 1989 .

[10]  Ning-xin Chen.  The complete shaking force balancing of a spatial linkage , 1984 .

[11]  I. S. Kochev.  General theory of complete shaking moment balancing of planar linkages: a critical review , 2000 .

[12]  Clément Gosselin,et al.  On the Dynamic Balancing of Multi-DOF Parallel Mechanisms With Multiple Legs , 2007 .

[13]  Vigen Arakelian,et al.  Shaking Force and Shaking Moment Balancing of Mechanisms: A Historical Review With New Examples , 2005 .

[14]  G. G. Lowen,et al.  A New Method for Com-pletely Force Balancing Simple Linkages , 1969 .

[15]  G. G. Lowen,et al.  Balancing of linkages—an update , 1983 .

[16]  Jonghoon Park.  Principle of Dynamical Balance for Multibody Systems , 2005 .

[17]  Cemil Bagci.  Complete Balancing of Space Mechanisms—Shaking Force Balancing , 1983 .

[18]  R. E. Kaufman,et al.  Complete Force Balancing of Spatial Linkages , 1971 .

[19]  Yueqing Yu.  Complete shaking force and shaking moment balancing of spatial irregular force transmission mechanisms using additional links , 1988 .

[20]  Gao Feng,et al.  Complete shaking force and shaking moment balancing of four types of six-bar linkages , 1989 .

[21]  I. Esat,et al.  A theory of complete force and moment balancing of planer linkage mechanisms , 1999 .

[22]  M. Smith,et al.  Complete balancing of planar linkages by an equivalence method , 1994 .

[23]  G. Feng.  Complete shaking force and shaking moment balancing of 17 types of eight-bar linkages only with revolute pairs , 1991 .

[24]  Dojoong Kim,et al.  Flexible cam profile synthesis method using smoothing spline curves , 2007 .

[25]  V. Arakelian,et al.  Complete Shaking Force and Shaking Moment Balancing of Linkages , 1999 .

[26]  Clément Gosselin,et al.  Static balancing of spatial four-degree-of-freedom parallel mechanisms , 2000 .

[27]  I. S. Kochev.  General method for active balancing of combined shaking moment and torque fluctuations in planar linkages , 1990 .

[28]  Vigen Arakelian.  Complete shaking force and shaking moment balancing of RSS'R spatial linkages , 2007 .

[29]  Fengfeng Xi,et al.  Static balancing of parallel robots , 2005 .

[30]  Nguyen Phong Dien,et al.  BALANCING CONDITIONS OF PLANAR MECHANISMS WITH MULTI-DEGREE OF FREEDOM , 2012 .

[31]  V. A. Shchepetil'nikov.  The determination of the mass centers of mechanisms in connection with the problem of mechanism balancing , 1968 .

[32]  Vigen Arakelian,et al.  Design of planar 3-DOF 3-RRR reactionless parallel manipulators , 2008 .

[33]  Subir Kumar Saha,et al.  Balancing of shaking forces and shaking moments for planar mechanisms using the equimomental systems , 2008 .