Flexibility Effects in Multibody Systems

This paper summarizes procedures for studying flexible multibody systems using finite segment modelling. In these procedures flexible members of multibody systems are themselves modelled as multibody (or “lumped”) systems. The flexibility is then modelled by springs and dampers between the bodies. Although the method has the disadvantage of being computationally intensive, the procedures presented are intended to ease the computational burden by efficient modelling and by efficient analytical formulations. It is believed that this approach combined with finite element and modal analysis methods can provide a comprehensive global and local analysis. Two examples are presented.

[1]  Madeleine Pascal.  Dynamical analysis of a flexible manipulator arm , 1990 .

[2]  A. Shabana.  On the use of the finite element method and classical approximation techniques in the non-linear dynamics of multibody systems , 1990 .

[3]  A. K. Banerjee,et al.  Multi-Flexible Body Dynamics Capturing Motion-Induced Stiffness , 1991 .

[4]  Hartmut Bremer.  Dynamics of Flexible Hybrid Structures , 1979 .

[5]  A. V. Flotow,et al.  Nonlinear strain-displacement relations and flexible multibody dynamics , 1992 .

[6]  Y. Huang,et al.  Generalization of Newton-Euler Formulation of Dynamic Equations to Nonrigid Manipulators , 1987, 1987 American Control Conference.

[7]  E. M. Bakr,et al.  Geometrically nonlinear analysis of multibody systems , 1986 .

[8]  R. L. Huston,et al.  UCIN-DYNOCOMBS — Software for the Dynamic Analysis of Constrained Multibody Systems , 1990 .

[9]  Ronald L. Huston,et al.  Dynamic Analysis of Elastic Beam-Like Mechanism Systems , 1989 .

[10]  W. Gevarter.  Basic relations for control of flexible vehicles , 1969 .

[11]  M. L. Amirouche.  Dynamic analysis of ‘tree-like’ structures undergoing large motions — a finite segment approach , 1986 .

[12]  J. C. Samin P. Boland,et al.  Stability Analysis of Interconnected Deformable Bodies in a Topological Tree , 1974 .

[13]  R. H. Cannon,et al.  Initial Experiments on the End-Point Control of a Flexible One-Link Robot , 1984 .

[14]  Peter W. Likins,et al.  Quasicoordinate equations for flexible spacecraft , 1975 .

[15]  I. Neĭmark,et al.  Dynamics of Nonholonomic Systems , 1972 .

[16]  P. C. Hughes,et al.  Dynamics of flexible space vehicles with active attitude control , 1974 .

[17]  Ronald L. Huston,et al.  Computer methods in flexible multibody dynamics , 1991 .

[18]  Haim Baruh,et al.  Issues in the dynamics and control of flexible robot manipulators , 1989 .

[19]  J. W. Kamman,et al.  Constrained multibody system dynamics: An automated approach , 1984 .

[20]  S. Dubowsky,et al.  Design and Analysis of Multilink Flexible Mechanisms With Multiple Clearance Connections , 1977 .

[21]  Ronald L. Huston,et al.  Flexibility effects in multibody system dynamics , 1980 .

[22]  John L. Junkins,et al.  Identification of vibrating flexible structures , 1985 .

[23]  Vinod J. Modi,et al.  Attitude Dynamics of Satellites with Flexible Appendages- A Brief Review , 1974 .

[24]  A. Shabana,et al.  Dynamic analysis of multibody systems using component modes , 1985 .

[25]  F. M. L. Amirouche.  Flexibility Effects—Estimation of the Stiffness Matrix in the Dynamics of a Large Structure , 1987 .

[26]  Ronald L. Huston,et al.  Finite element methods : an introduction , 1984 .

[27]  R. Huston.  Multi-body dynamics including the effects of flexibility and compliance , 1981 .

[28]  T. Kane,et al.  ON THE DERIVATION OF EQUATIONS OF MOTION , 1965 .

[29]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[30]  Steven Dubowsky,et al.  An experimental and analytical study of impact forces in elastic mechanical systems with clearances , 1978 .

[31]  F. Amirouche,et al.  Dynamics of Large Constrained Flexible Structures , 1988 .

[32]  G. N. Sandor,et al.  A General Method for Kineto-Elastodynamic Analysis and Synthesis of Mechanisms , 1972 .

[33]  R. Huston,et al.  On multi-rigid-body system dynamics , 1979 .

[34]  W Jerkovsky.  Exact Equations of Motion for a Deformable Body. , 1977 .

[35]  Ronald Huston,et al.  Multibody dynamics formulations via Kane's equations , 1990 .

[36]  A. Banerjee,et al.  Dynamics of an Arbitrary Flexible Body in Large Rotation and Translation , 1989 .

[37]  Vinod J. Modi,et al.  General dynamics of a large class of flexible satellite systems , 1979 .

[38]  A. Galip Ulsoy,et al.  Control of a Flexible Robot Arm: Experimental and Theoretical , 1987 .

[39]  J. J. Kalker,et al.  On robots with flexible links: dynamics, control and stability , 1987 .

[40]  P. Likins,et al.  Attitude control of nonrigid spacecraft , 1971 .

[41]  Vinod J. Modi,et al.  Transient attitude dynamics of satellites with deploying flexible appendages , 1978 .

[42]  R. Huston,et al.  Multibody Structural Dynamics Including Translation between the Bodies , 1980 .

[43]  C. E. Benedict,et al.  Dynamic response analysis of quasi-rigid mechanical systems using kinematic influence coefficients , 1971 .

[44]  J. Y. L. Ho,et al.  Development of dynamics and control simulation of large flexible space systems , 1982 .

[45]  H. Ashley,et al.  On Passive Damping Mechanisms in Large Space Structures , 1982 .

[46]  R. Huston,et al.  Dynamics of Multirigid-Body Systems , 1978 .

[47]  R. P. Han,et al.  Dynamics of general flexible multibody systems , 1990 .

[48]  J.Y.L. Ho,et al.  Direct Path Method for Flexible Multibody Spacecraft Dynamics (Originally schedulled for publication in the AIAA Journal) , 1977 .

[49]  G. N. Sandor,et al.  A Lumped Parameter Approach to Vibration and Stress Analysis of Elastic Linkages , 1973 .

[50]  George N. Sandor,et al.  Deflection and Stress Analysis in High Speed Planar Mechanisms With Elastic Links , 1973 .

[51]  P. Likins.  Dynamic analysis of a system of hinge-connected rigid bodies with nonrigid appendages. [equations of motion] , 1973 .

[52]  Thomas R. Kane,et al.  THEORY AND APPLICATIONS , 1984 .

[53]  T. R. Kane,et al.  Dynamics of a cantilever beam attached to a moving base , 1987 .

[54]  A. Shabana.  Substructure synthesis methods for dynamic analysis of multi-body systems , 1985 .

[55]  T. Kane.  Dynamics of Nonholonomic Systems , 1961 .

[56]  R. C. Winfrey,et al.  Elastic Link Mechanism Dynamics , 1971 .

[57]  Ronald L. Huston,et al.  Computing angular velocity in multibody systems , 1986 .