Errors Control of Constraint Violation in Dynamical Simulation for Constrained Mechanical Systems

[1]  W. Blajer.  A Geometric Unification of Constrained System Dynamics , 1997 .

[2]  Firdaus E. Udwadia,et al.  New Approach to the Modeling of Complex Multibody Dynamical Systems , 2011 .

[3]  Firdaus E. Udwadia,et al.  Equations of Motion for Mechanical Systems , 1996 .

[4]  Firdaus E. Udwadia,et al.  ON GENERAL NONLINEAR CONSTRAINED MECHANICAL SYSTEMS , 2013 .

[5]  Phailaung Phohomsiri,et al.  Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6]  Aaron D. Schutte,et al.  Constrained Motion of Tethered Satellites , 2005 .

[7]  R. M. Howe,et al.  Geometric Elimination of Constraint Violations in Numerical Simulation of Lagrangian Equations , 1994 .

[8]  Liu Rong,et al.  Determination of Stability Correction Parameters for Dynamic Equations of Constrained Multibody Systems , 2018 .

[9]  F. Udwadia.  A new perspective on the tracking control of nonlinear structural and mechanical systems , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[10]  Eun-Taik Lee,et al.  Numerical integration scheme to reduce the errors in the satisfaction of constrained dynamic equation , 2013 .

[11]  R. Kalaba,et al.  A new perspective on constrained motion , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[12]  Homer Rahnejat,et al.  Multi-body dynamics: Historical evolution and application , 2000 .

[13]  Rong Liu,et al.  Concise method to the dynamic modeling of climbing robot , 2017 .

[14]  D. J. Braun,et al.  Simulation of Constrained Mechanical Systems — Part I: An Equation of Motion , 2012 .

[15]  M. Silva,et al.  A parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems , 2009 .

[16]  P. Nikravesh.  Initial condition correction in multibody dynamics , 2007 .

[17]  Jia Liu,et al.  Simple method to the dynamic modeling of industrial robot subject to constraint , 2016 .

[18]  Chen Hao.  An Attitude Control Method Based on Constrained Motion Theory for Extravehicular Activity Rescue by Astronaut , 2010 .

[19]  Firdaus E. Udwadia,et al.  Explicit Control Force and Torque Determination for Satellite Formation-Keeping with Attitude Requirements , 2013 .

[20]  Firdaus E. Udwadia,et al.  Equations of motion for mechanical systems: A unified approach , 1996 .

[21]  Firdaus E. Udwadia,et al.  Control of Uncertain Nonlinear Multibody Mechanical Systems , 2014 .

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

[23]  O. Bauchau,et al.  Review of Classical Approaches for Constraint Enforcement in Multibody Systems , 2008 .

[24]  D. J. Braun,et al.  Eliminating Constraint Drift in the Numerical Simulation of Constrained Dynamical Systems , 2009 .

[25]  Peter Eberhard,et al.  Computational Dynamics of Multibody Systems: History, Formalisms, and Applications , 2006 .

[26]  Werner Schiehlen,et al.  Research trends in multibody system dynamics , 2007 .

[27]  O. Bauchau,et al.  Review of Contemporary Approaches for Constraint Enforcement in Multibody Systems , 2008 .

[28]  Yinghua Liu,et al.  A constraint violation suppressing formulation for spatial multibody dynamics with singular mass matrix , 2016 .

[29]  W. Blajer.  Elimination of Constraint Violation and Accuracy Aspects in Numerical Simulation of Multibody Systems , 2002 .

[30]  M. Spong,et al.  Robot Modeling and Control , 2005 .

[31]  L. Fradet,et al.  Geometrical variations in white and gray matter affect the biomechanics of spinal cord injuries more than the arachnoid space , 2016 .

[32]  P. Flores,et al.  On the constraints violation in forward dynamics of multibody systems , 2017 .

[33]  Yihua Liu,et al.  An ADRC Method for Noncascaded Integral Systems Based on Algebraic Substitution Method and Its Structure , 2018 .

[34]  Try Lam.  New Approach to Mission Design Based on the Fundamental Equations of Motion , 2006 .

[35]  W. Blajer.  Methods for constraint violation suppression in the numerical simulation of constrained multibody systems – A comparative study , 2011 .

[36]  J. Baumgarte.  A New Method of Stabilization for Holonomic Constraints , 1983 .

[37]  Firdaus E. Udwadia,et al.  Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints , 2001 .

[38]  Firdaus E. Udwadia,et al.  Methodology for Satellite Formation-Keeping in the Presence of System Uncertainties , 2014 .