Perhaps the three most important issues in numerical simulation of mechanical systems are: (1) how well do the multi-body systems represent a physical system of interest; (2) how efficient is the simulation; and (3) how accurate is the simulation. With the advances in computational mechanics, the efficiency of multi-body simulations is steadily improving. Indeed, analysts are increasingly envisioning real-time simulation. With these improvements in computation and efficiency, the modeling of physical systems is also improving through the ability to have more comprehensive modeling. The issue of accuracy, however, remains. Generally, the complexity of multi-body system dynamics leaves the analyst without firm assurance about the numerical accuracy short of experimental verification or intuitive reasonableness of the results. In the second part of the paper we present some methods and experiments to clarify simulation quality of the basic model described in the first article.

Accepted:

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Zheng Wang ^{1}

@article{CRMECA_2011__339_9_605_0, author = {Zheng Wang}, title = {Interactive virtual prototyping of a mechanical system considering the environment effect. {Part} 2: {Simulation} quality}, journal = {Comptes Rendus. M\'ecanique}, pages = {605--615}, publisher = {Elsevier}, volume = {339}, number = {9}, year = {2011}, doi = {10.1016/j.crme.2011.06.003}, language = {en}, }

TY - JOUR AU - Zheng Wang TI - Interactive virtual prototyping of a mechanical system considering the environment effect. Part 2: Simulation quality JO - Comptes Rendus. Mécanique PY - 2011 SP - 605 EP - 615 VL - 339 IS - 9 PB - Elsevier DO - 10.1016/j.crme.2011.06.003 LA - en ID - CRMECA_2011__339_9_605_0 ER -

Zheng Wang. Interactive virtual prototyping of a mechanical system considering the environment effect. Part 2: Simulation quality. Comptes Rendus. Mécanique, Volume 339 (2011) no. 9, pp. 605-615. doi : 10.1016/j.crme.2011.06.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.06.003/

[1] Interactive virtual prototyping of a mechanical system considering the environment effect. Part 1: Modeling dynamics, C. R. Mecanique, Volume 399 (2011) | DOI

[2] Stabilization of constraints and integrals of motion in dynamical systems, Comput. Methods Appl. Mech. Engrg., Volume 1 (1972), pp. 1-16

[3] An adaptive constraint violation stabilization method for dynamic analysis of mechanical systems, J. Mech. Transmissions Autom. Design, Volume 107 (1985), pp. 488-492

[4] On Baumgarte stabilization for differential algebraic equations (J. Haug; R.C. Deyo, eds.), Real-Time Integration Methods for Mechanical System Simulations, NATO ASI Series, vol. F69, Springer, Berlin, 1990, pp. 193-207

[5] Stability and accuracy analysis of Baumgarteʼs constrained violation stabilization method, J. Mech. Design, Volume 117 (1995), pp. 446-453

[6] Stabilization method for numerical integration of multi-body mechanical systems, J. Mech. Design, Volume 120 (1998), pp. 565-572

[7] MBSPACK. Numerical integration software for constrained mechanical motion, Surv. Math. Ind., Volume 5 (1995), pp. 169-202

[8] Automatic integration of Euler–Lagrange equations with constraints, J. Comput. Appl. Math., Volume 12–13 (1985), pp. 77-90

[9] Numerical solution of differential-algebraic equations for constrained mechanical motion, Numer. Math., Volume 59 (1991), pp. 55-69

[10] Numerical integration of constrained Hamiltonian systems using Dirac brackets, Math. Comp., Volume 68 (1999), pp. 661-681

[11] Geometric elimination of constraint violations in numerical simulation of Lagrangian equations, J. Mech. Design, Volume 116 (1994), pp. 1058-1064

[12] A geometric unification of constrained system dynamics, Multibody Syst. Dyn., Volume 1 (1997), pp. 3-21

[13] Null space integration method for constrained multi-body systems with no constraint violation, Multibody Syst. Dyn., Volume 6 (2001), pp. 229-243

[14] Elimination of constraint violation and accuracy aspects in numerical simulation of multi-body system, Multibody Syst. Dyn., Volume 7 (2002), pp. 265-284

[15] Review of classical approaches for constraint enforcement in multi-body systems, J. Comput. Nonlinear Dynam., Volume 3 (2008), p. 11004

[16] Review of contemporary approaches for constraint enforcement in multi-body systems, J. Comput. Nonlinear Dynam., Volume 3 (2008), p. 011005

[17] Eliminating constraint drift in the numerical simulation of constrained dynamical systems, Comput. Methods Appl. Mech. Engrg., Volume 198 (2009), pp. 3151-3160

[18] D. Baraff, Linear-time simulation using Lagrange-multipliers, in: Proc. SIGGRAPH, 1996, pp. 137–146.

[19] U.M. Ascher, D.K. Pai, P.G. Kry, Forward dynamics algorithms for multi-body chains and contact, in: Proc. IEEE Int. Conf. Robotics and Automation, 2000, pp. 857–862.

[20] Kinematic and Dynamic, Simulation of Multi-Body Stems: The Real Time Challenge, Springer-Verlag, 1994

[21] Efficient Dynamic Simulation of Mechanisms, Kluwer, 1993

[22] Process save reduction by macro joint approach: The key to real time and efficient vehicle simulation, Vehicle System Dynamics, Volume 41 (2004), pp. 401-413

[23] MBS approach to generate equations of motions for HiL-simulations in vehicle dynamics, Multibody Syst. Dyn., Volume 14 (2005), pp. 367-386

[24] Solving Ordinary Differential Equations. II. Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin/Heidelberg/New York, 1996

[25] Large-scale parallel multi-body dynamics with frictional contact on the graphical processing unit, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., Volume 222 (2008) no. 4, pp. 315-326

[26] Homepage of the Open Dynamics Engine (ODE) http://www.ode.org/

[27] Homepage of the OpenTissue simulation framework http://www.opentissue.org

[28] Parallel load-balanced simulation for short-range interaction particle methods with hierarchical particle grouping based on orthogonal recursive bisection, Internat. J. Numer. Methods Engrg., Volume 74 (2007), pp. 531-553

[29] Solving Ordinary Differential Equations. II. Stiff and Differential-Algebraic Problems, Springer–Verlag, Berlin/Heidelberg/New York, 1996

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