Direct integration of the equations of multibody dynamics using central differences and linearization
暂无分享,去创建一个
[1] Dan Negrut,et al. The Newmark Integration Method for Simulation of Multibody Systems: Analytical Considerations , 2005 .
[2] Dan Negrut,et al. Implicit Runge-Kutta Integration of the Equations of Multibody Dynamics in Descriptor Form , 1999 .
[3] Roy Featherstone,et al. Rigid Body Dynamics Algorithms , 2007 .
[4] J. Douglas Faires,et al. Numerical Analysis , 1981 .
[5] József Kövecses,et al. Use of penalty formulations in dynamic simulation and analysis of redundantly constrained multibody systems , 2013 .
[6] Michael F. Steigerwald. BDF Methods for DAEs in Multi-body Dynamics: Shortcomings and Improvements , 1990 .
[7] J. G. Jalón,et al. Multibody dynamics with redundant constraints and singular mass matrix: existence, uniqueness, and determination of solutions for accelerations and constraint forces , 2013 .
[8] M. Géradin,et al. Numerical Integration of Second Order Differential—Algebraic Systems in Flexible Mechanism Dynamics , 1994 .
[9] Louis Komzsik. What Every Engineer Should Know About Computational Techniques of Finite Element Analysis , 2005 .
[10] J. Baumgarte. Stabilization of constraints and integrals of motion in dynamical systems , 1972 .
[11] Thomas J. R. Hughes,et al. Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .
[12] O. Bauchau,et al. Review of Classical Approaches for Constraint Enforcement in Multibody Systems , 2008 .
[13] D. Dopico,et al. Penalty, Semi-Recursive and Hybrid Methods for MBS Real-Time Dynamics in the Context of Structural Integrators , 2004 .
[14] Javier García de Jalón,et al. Kinematic and Dynamic Simulation of Multibody Systems , 1994 .
[15] Nathan M. Newmark,et al. A Method of Computation for Structural Dynamics , 1959 .
[16] M. A. Serna,et al. A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems , 1988 .
[17] Dan Negrut,et al. An Implicit Runge–Kutta Method for Integration of Differential Algebraic Equations of Multibody Dynamics , 2003 .
[18] Ahmed A. Shabana,et al. Dynamics of Multibody Systems , 2020 .
[19] Thomas R. Kane,et al. THEORY AND APPLICATIONS , 1984 .
[20] Daniel Dopico,et al. Behaviour of augmented Lagrangian and Hamiltonian methods for multibody dynamics in the proximity of singular configurations , 2016, Nonlinear Dynamics.
[21] D. Pogorelov,et al. Differential–algebraic equations in multibody system modeling , 1998, Numerical Algorithms.
[22] Youdan Kim,et al. Introduction to Dynamics and Control of Flexible Structures , 1993 .
[23] W. Blajer. Augmented Lagrangian Formulation: Geometrical Interpretation and Application to Systems with Singularities and Redundancy , 2002 .
[24] Daniel Dopico,et al. Benchmarking of augmented Lagrangian and Hamiltonian formulations for multibody system dynamics , 2015 .
[25] Javier Cuadrado,et al. Intelligent Simulation of Multibody Dynamics: Space-State and Descriptor Methods in Sequential and Parallel Computing Environments , 2000 .
[26] E. Bayo,et al. Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics , 1994, Nonlinear Dynamics.
[27] J. Ambrósio,et al. Stabilization Methods for the Integration of DAE in the Presence of Redundant Constraints , 2003 .
[28] Yunqing Zhang,et al. Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints , 2009 .
[29] Domenico Guida,et al. On the Computational Methods for Solving the Differential-Algebraic Equations of Motion of Multibody Systems , 2018 .
[30] Arend L. Schwab,et al. Dynamics of Multibody Systems , 2007 .
[31] Dan Negrut,et al. On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096) , 2007 .
[32] Linda R. Petzold,et al. The numerical solution of higher index differential/algebraic equations by implicit methods , 1989 .
[33] U. Lugrís,et al. A benchmarking system for MBS simulation software: Problem standardization and performance measurement , 2006 .
[34] C. D. Mote,et al. Optimization methods for engineering design , 1971 .
[35] Linda,et al. A Time Integration Algorithm forFlexible Mechanism Dynamics : TheDAE-Method , 1996 .
[36] C. W. Gear,et al. Simultaneous Numerical Solution of Differential-Algebraic Equations , 1971 .
[37] Olivier A. Bauchau,et al. Flexible multibody dynamics , 2010 .
[38] C. Pappalardo. A natural absolute coordinate formulation for the kinematic and dynamic analysis of rigid multibody systems , 2015 .
[39] K. Bathe,et al. Stability and accuracy analysis of direct integration methods , 1972 .