Computational Dynamics of Multibody Systems: History, Formalisms, and Applications

Multibody dynamics is based on analytical mechanics and is applied to engineering systems such as a wide variety of machines and all kind of vehicles. Multibody dynamics depends on computational dynamics and is closely related to control design and vibration theory. Recent developments in multibody dynamics focus on elastic or flexible systems, respectively, contact and impact problems, and actively controlled systems. Some fundamentals in multibody dynamics, recursive algorithms and methods for dynamical analysis are presented. In particular, methods from linear system analysis and nonlinear dynamics approaches are discussed. Also, applications from vehicles, manufacturing science and molecular dynamics are shown.

[1]  Alexandra Ratering,et al.  Flatness-based control of a machine tool with lambda kinematic , 2004 .

[2]  Alexander Schinner,et al.  Fast algorithms for the simulation of polygonal particles , 1999 .

[3]  Werner Schiehlen,et al.  Control Concepts for Lateral Motion of Road Vehicles in Convoy , 1997 .

[4]  F. Melzer,et al.  Symbolic computations in flexible multibody systems , 1996 .

[5]  M. Päsler.  Prinzipe der Mechanik , 1968 .

[6]  Stefan von Dombrowski,et al.  Analysis of Large Flexible Body Deformation in Multibody Systems Using Absolute Coordinates , 2002 .

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

[8]  Werner Schiehlen,et al.  General Purpose Vehicle System Dynamics Software Based on Multibody Formalisms , 1985 .

[9]  Peter Eberhard,et al.  Dynamical Particle Simulation with Parallel Cache‐Aware Domain Decomposition Strategies , 2005 .

[10]  I. Szábo,et al.  Geschichte der mechanischen Prinzipien , 1977 .

[11]  Javier García de Jalón,et al.  Kinematic and Dynamic Simulation of Multibody Systems , 1994 .

[12]  K. Anderson,et al.  A Parallel Logarithmic Order Algorithm for General Multibody System Dynamics , 2004 .

[13]  A. H. Wickens,et al.  Dynamics of Vehicles on Roads and Tracks , 1982 .

[14]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[15]  Werner Schiehlen.  Control of Chaos for Pendulum Systems , 1999 .

[16]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[17]  Werner Schiehlen,et al.  Computational aspects in multibody system dynamics , 1991 .

[18]  Karl Popp,et al.  System dynamics and long-term behaviour of railway vehicles, track and subgrade , 2003 .

[19]  R. Featherstone.  The Calculation of Robot Dynamics Using Articulated-Body Inertias , 1983 .

[20]  Werner Schiehlen,et al.  Multibody System Dynamics: Roots and Perspectives , 1997 .

[21]  A. Hinchliffe.  Simulation of Liquids , 2006 .

[22]  Ronald L. Huston,et al.  Multibody Dynamics — Modeling and Analysis Methods , 1991 .

[23]  Jorge Angeles,et al.  Kinematics and Dynamics of Multi-Body Systems , 1995 .

[24]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

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

[26]  William W. Hooker,et al.  The Dynamical Attitude Equations for n-Body Satellite , 1965 .

[27]  Werner Schiehlen,et al.  RECURSIVE KINEMATICS AND DYNAMICS FOR PARALLEL STRUCTURED CLOSED-LOOP MULTIBODY SYSTEMS* , 2001 .

[28]  Leslie Greengard,et al.  A fast algorithm for particle simulations , 1987 .

[29]  G. Stavroulakis.  Multibody Dynamics with Unilateral Contacts by Friedrich Pfeiffer and Christoph Glocker, Wiley, New York, 1996 , 1998 .

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

[31]  Uwe Heisel,et al.  Progress in Reconfigurable Manufacturing Systems , 2004 .

[32]  W. Schichlen,et al.  Rechnergestütztes Aufstellen der Bewegungsgleichungen gewöhnlicher Mehrkörpersysteme , 1977 .

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

[34]  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.

[35]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

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

[37]  Joachim Rudolph,et al.  Flachheit: Ein neuer Zugang zur Steuerung und Regelung nichtlinearer Systeme , 1997 .

[38]  E. Haug,et al.  A Recursive Formulation for Constrained Mechanical System Dynamics: Part II. Closed Loop Systems , 1987 .

[39]  Werner Schiehlen,et al.  Software Tools: From Multibody System Analysis to Vehicle System Dynamics , 2001 .

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

[41]  Damian Harty,et al.  The Multibody Systems Approach to Vehicle Dynamics , 2004 .

[42]  Robert E. Roberson,et al.  A Perspective on Computer-Oriented Mutlibody Dynamical Formalisms and their Implementations , 1986 .

[43]  E. Haug,et al.  A recursive formulation constrained mechanical system dynamics. I: Open loop systems , 1987 .

[44]  A. Laneville,et al.  Characterization of Dynamic Vehicle Stability Using Two Models of the Human Pilot Behaviour , 1986 .

[45]  P. Eberhard,et al.  Frictional contact of flexible and rigid bodies , 2002 .

[46]  Martin Otter,et al.  A very efficient algorithm for the simulation of robots and similar multibody systems without invers , 1986 .

[47]  David A. Levinson,et al.  Equations of Motion for Multiple-Rigid-Body Systems via Symbolic Manipulation , 1977 .

[48]  Peter Eberhard,et al.  Contacts Between Many Bodies , 2004 .

[49]  R. Dugas.  A history of mechanics , 1955 .

[50]  Ronald R. Yager,et al.  Comments on "Textured Sets: An Approach to Aggregation Problems with Multiple Concerns" , 1981, IEEE Transactions on Systems, Man and Cybernetics.