Dynamics of Multibody Systems

1. Introduction 2. Reference kinematics 3. Analytical techniques 4. Mechanics of deformable bodies 5. Floating frame of reference formulation 6. Finite element formulation 7. Large deformation problem Appendix: Linear algebra References Index.

[1]  R. Wooldridge,et al.  Advanced Engineering Mathematics , 1967, The Mathematical Gazette.

[2]  J. Denavit,et al.  A kinematic notation for lower pair mechanisms based on matrices , 1955 .

[3]  J. Uicker,et al.  An Iterative Method for the Displacement Analysis of Spatial Mechanisms , 1964 .

[4]  James M. Gere,et al.  Analysis of framed structures , 1965 .

[5]  P. Likins Modal method for analysis of free rotations of spacecraft. , 1967 .

[6]  H. Ashley Observations on the dynamic behavior of large flexible bodies in orbit. , 1967 .

[7]  M. A. Chace Analysis of the Time-Dependence of Multi-Freedom Mechanical Systems in Relative Coordinates , 1967 .

[8]  J. Uicker Dynamic Force Analysis of Spatial Linkages , 1967 .

[9]  R. D. Milne,et al.  Some remarks on the dynamics of deformable bodies. , 1968 .

[10]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[11]  H. A. Luther,et al.  Applied numerical methods , 1969 .

[12]  J. Uicker Dynamic Behavior of Spatial Linkages: Part 1—Exact Equations of Motion, Part 2—Small Oscillations About Equilibrium , 1969 .

[13]  L. Bahar Direct determination of finite rotation operators , 1970 .

[14]  Milton A. Chace,et al.  Development and Application of a Generalized d’Alembert Force for Multifreedom Mechanical Systems , 1971 .

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

[16]  R. C. Winfrey,et al.  Dynamic Analysis of Elastic Link Mechanisms by Reduction of Coordinates , 1972 .

[17]  M. Beiner,et al.  Direct numerical integration of coupled one-dimensional Schrödinger equations , 1972 .

[18]  J. J. Uicker,et al.  IMP (Integrated Mechanisms Program), A Computer-Aided Design Analysis System for Mechanisms and Linkage , 1972 .

[19]  R. Roberson A form of the translational dynamical equations for relative motion in systems of many non-rigid bodies , 1972 .

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

[21]  G. G. Lowen,et al.  Survey of investigations into the dynamic behavior of mechanisms containing links with distributed mass and elasticity , 1972 .

[22]  Arthur G. Erdman,et al.  Kineto-elastodynamics - A review of the state of the art and trends , 1972 .

[23]  J. Baumgarte Stabilization of constraints and integrals of motion in dynamical systems , 1972 .

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

[25]  M. A. Chace,et al.  Methods for Automated Dynamic Analysis of Discrete Mechanical Systems , 1973 .

[26]  B. J. Hsieh,et al.  Non-Linear Transient Finite Element Analysis with Convected Co--ordinates , 1973 .

[27]  P. Likins Hybrid-coordinate spacecraft dynamics using large-deformation modal coordinates , 1973 .

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

[29]  V. K. Gupta Dynamic Analysis of Multi-Rigid-Body Systems , 1974 .

[30]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[31]  H. Frisch A vector-dyadic development of the equations of motion for N-coupled rigid bodies and point masses , 1974 .

[32]  Leonard Meirovitch,et al.  A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems , 1974 .

[33]  A. Boresi,et al.  Elasticity in engineering mechanics , 1974 .

[34]  W. Hooker Equations of motion for interconnected rigid and elastic bodies: A derivation independent of angular momentum , 1975 .

[35]  K. C. Pan,et al.  Dynamic Response of a High-Speed Slider-Crank Mechanism With an Elastic Connecting Rod , 1975 .

[36]  L. Meirovitch On the Reduction of the Eigenvalue Problem for Spinning Axisymmetric Structures , 1975 .

[37]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[38]  J. C. Samin,et al.  Stability Analysis of Interconnected Deformable Bodies with Closed-Loop Configuration , 1975 .

[39]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[40]  L. Meirovitch A Modal Analysis for the Response of Linear Gyroscopic Systems , 1975 .

[41]  L. Meirovitch A Stationarity Principle for the Eigenvalue Problem for Rotating Structures , 1976 .

[42]  A. R. Klumpp,et al.  Singularity-free extraction of a quaternion from a direction-cosine matrix. [for spacecraft control and guidance] , 1976 .

[43]  B. D. Veubeke,et al.  The dynamics of flexible bodies , 1976 .

[44]  R. Cavin,et al.  Eigenvalue properties of structural mean-axis systems , 1976 .

[45]  J. Wittenburg,et al.  Dynamics of systems of rigid bodies , 1977 .

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

[47]  J. Z. Zhu,et al.  The finite element method , 1977 .

[48]  R. Cavin,et al.  Hamilton's principle - Finite-element methods and flexible body dynamics , 1977 .

[49]  T. Belytschko,et al.  Large displacement, transient analysis of space frames , 1977 .

[50]  P. Likins,et al.  Floating reference frames for flexible spacecraft , 1977 .

[51]  W. Jerkovsky The Structure of Multibody Dynamics Equations , 1978 .

[52]  C. S. Bodley,et al.  A digital computer program for the dynamic interaction simulation of controls and structure (DISCOS), volume 2 , 1978 .

[53]  Kendall E. Atkinson An introduction to numerical analysis , 1978 .

[54]  Thomas R. Kane,et al.  Dynamics of Multibody Systems , 1978 .

[55]  W. Book Analysis of massless elastic chains with servo controlled joints , 1979 .

[56]  T. Belytschko,et al.  Applications of higher order corotational stretch theories to nonlinear finite element analysis , 1979 .

[57]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[58]  J. O. Song,et al.  Dynamic analysis of planar flexible mechanisms , 1980 .

[59]  J. W. Humberston Classical mechanics , 1980, Nature.

[60]  John M. Hollerbach,et al.  A Recursive Lagrangian Formulation of Maniputator Dynamics and a Comparative Study of Dynamics Formulation Complexity , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[61]  Steven Dubowsky,et al.  The Application of Finite Element Methods to the Dynamic Analysis of Flexible Spatial and Co-Planar Linkage Systems , 1981 .

[62]  E. Haug,et al.  Generalized Coordinate Partitioning in Dynamic Analysis of Mechanical Systems , 1981 .

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

[64]  R. Paul Robot manipulators : mathematics, programming, and control : the computer control of robot manipulators , 1981 .

[65]  J. Argyris An excursion into large rotations , 1982 .

[66]  M. A. Serna,et al.  A Simple Numerical Method for the Kinematic Analysis of Spatial Mechanisms , 1982 .

[67]  A. Shabana,et al.  A Coordinate Reduction Technique for Dynamic Analysis of Spatial Substructures with Large Angular Rotations , 1983 .

[68]  Steven Dubowsky,et al.  On the Dynamic Analysis and Behavior of Industrial Robotic Manipulators With Elastic Members , 1983 .

[69]  W. Book Recursive Lagrangian Dynamics of Flexible Manipulator Arms , 1984 .

[70]  M. Hiller,et al.  A unified representation of spatial displacements , 1984 .

[71]  R. Ogden Non-Linear Elastic Deformations , 1984 .

[72]  W. Schiehlen Dynamics of complex multibody systems , 1984 .

[73]  J. C. Simo,et al.  A finite strain beam formulation. The three-dimensional dynamic problem. Part I , 1985 .

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

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

[76]  J. S. Przemieniecki Theory of matrix structural analysis , 1985 .

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

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

[79]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[80]  A. Shabana,et al.  DYNAMICS OF MULTIBODY SYSTEMS WITH VARIABLE KINEMATIC STRUCTURE. , 1986 .

[81]  S. S. Kim,et al.  QR Decomposition for State Space Representation of Constrained Mechanical Dynamic Systems , 1986 .

[82]  J. García de Jalón,et al.  Natural coordinates for the computer analysis of multibody systems , 1986 .

[83]  A. Shabana Dynamics of Inertia-Variant Flexible Systems Using Experimentally Identified Parameters , 1986 .

[84]  C. Rankin,et al.  An element independent corotational procedure for the treatment of large rotations , 1986 .

[85]  David J. Benson,et al.  A simple rigid body algorithm for structural dynamics programs , 1986 .

[86]  Ahmed A. Shabana,et al.  Application of deformable-body mean axis to flexible multibody system dynamics , 1986 .

[87]  J. C. Simo,et al.  On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II , 1986 .

[88]  G. G. Lowen,et al.  The elastic behavior of linkages: An update , 1986 .

[89]  A. Shabana,et al.  Dynamic Analysis of Constrained System of Rigid and Flexible Bodies With Intermittent Motion , 1986 .

[90]  K. Spring Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review , 1986 .

[91]  S. S. Kim,et al.  A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformations , 1986 .

[92]  J. C. Simo,et al.  A three-dimensional finite-strain rod model. Part II: Computational aspects , 1986 .

[93]  Ahmed A. Shabana,et al.  Timoshenko beams and flexible multibody system dynamics , 1987 .

[94]  Ahmed A. Shabana,et al.  A continuous force model for the impact analysis of flexible multibody systems , 1987 .

[95]  M. Pascal Dynamics analysis of a system of hinge-connected flexible bodies , 1987 .

[96]  D. Flanagan,et al.  An accurate numerical algorithm for stress integration with finite rotations , 1987 .

[97]  Ahmed A. Shabana,et al.  A Recursive Formulation for the Dynamic Analysis of Open Loop Deformable Multibody Systems , 1988 .

[98]  Ronald L. Huston,et al.  Dynamics of Multibody Systems , 1988 .

[99]  Parviz E. Nikravesh,et al.  Computer-aided analysis of mechanical systems , 1988 .

[100]  Wp Wil Koppens The dynamics of systems of deformable bodies , 1989 .

[101]  A. G. Ulsoy,et al.  Dynamics of a Radially Rotating Beam With Impact, Part 2: Experimental and Simulation Results , 1989 .

[102]  E. Bayo,et al.  An efficient computation of the inverse dynamics of flexible manipulators in the time domain , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[103]  A. G. Ulsoy,et al.  Dynamics of a Radially Rotating Beam With Impact, Part 1: Theoretical and Computational Model , 1989 .

[104]  A. Shabana,et al.  On the Use of the Momentum Balance in the Impact Analysis of Constrained Elastic Systems , 1990 .

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