A multi-index variable time step method for the dynamic simulation of multibody systems

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

[2]  J. G. Jalón,et al.  A simple and highly parallelizable method for real-time dynamic simulation based on velocity transformations , 1993 .

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

[4]  Javier García de Jalón,et al.  Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge , 1994 .

[5]  M. A. Serna,et al.  Dynamic analysis of plane mechanisms with lower pairs in basic coordinates , 1982 .

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

[7]  Christian Lubich,et al.  h2-Extrapolation methods for differential-algebraic systems of index 2 , 1989, IMPACT Comput. Sci. Eng..

[8]  R. Ledesma,et al.  Augmented lagrangian and mass-orthogonal projection methods for constrained multibody dynamics , 1996 .

[9]  M. Arnold Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2 , 1998 .

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

[11]  John L. Junkins,et al.  Lyapunov stable penalty methods for imposing holonomic constraints in multibody system dynamics , 1993, Nonlinear Dynamics.

[12]  B. Leimkuhler,et al.  Numerical solution of differential-algebraic equations for constrained mechanical motion , 1991 .

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

[14]  Martin Arnold Stability of numerical methods for differential-algebraic equations of higher index , 1993 .

[15]  E. Haug,et al.  Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems , 1982 .

[16]  Javier Cuadrado,et al.  Modeling and Solution Methods for Efficient Real-Time Simulation of Multibody Dynamics , 1997 .

[17]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

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

[19]  E. Bayo,et al.  Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics , 1994, Nonlinear Dynamics.