MBSPACK -- numerical integration software for constrained mechanical motion. We give a survey of the state-of-the-art in the field and introduce a numerical integration software library which was designed to provide a versatile and competitive simulation tool. Several industrial applications illustrate the performance of the algorithms. Using a framework of modeling levels, even more general equations arising from, e.g., mechatronic systems are included in the presentation

References in zbMATH (referenced in 38 articles , 1 standard article )

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  1. Zhang, Jie; Liu, Donghuan; Liu, Yinghua: A constraint violation suppressing formulation for spatial multibody dynamics with singular mass matrix (2016)
  2. Weber, Steffen; Arnold, Martin: Semi-analytical methods for singularly perturbed multibody system models (2014)
  3. Blajer, Wojciech: Methods for constraint violation suppression in the numerical simulation of constrained multibody systems - A comparative study (2011)
  4. Masarati, Pierangelo: Adding kinematic constraints to purely differential dynamics (2011)
  5. Riaza, Ricardo: Differential-algebraic systems. Analytical aspects and circuit applications (2008)
  6. Terze, Zdravko; Naudet, Joris: Geometric properties of projective constraint violation stabilization method for generally constrained multibody systems on manifolds (2008)
  7. Wunderlich, Lena: Analysis and numerical solution of structured and switched differential-algebraic systems (2008)
  8. Simeon, Bernd: On Lagrange multipliers in flexible multibody dynamics (2006)
  9. Steinbrecher, Andreas: Numerical solution of quasi-linear differential-algebraic equations and industrial simulation of multibody systems. (2006)
  10. Lunk, Christoph; Simeon, Bernd: Runge-Kutta-Nyström methods with maximized stability domain in structural dynamics (2005)
  11. Bulirsch, Roland; Vögel, Martin; von Stryk, Oskar; Chucholowski, Cornelius; Wolter, Thieß-Magnus: An optimal control approach to real-time vehicle guidance (2003)
  12. Schaub, Meike; Simeon, Bernd: Blended Lobatto methods in multibody dynamics (2003)
  13. Luther, Wolfram; Dyllong, Eva; Fausten, Daniela; Otten, Werner; Traczinski, Holger: Numerical verification and validation of kinematics and dynamical models for flexible robots in complex environments (2001)
  14. Müller, P. C.: Aspects of modeling dynamical systems by differential-algebraic equations (2001)
  15. Simeon, Bernd: Numerical analysis of flexible multibody systems (2001)
  16. Günther, M.: A joint DAE/PDE model for interconnected electrical networks (2000)
  17. Günther, Michael; Wagner, Yvonne: Index concepts for linear mixed systems of differential-algebraic and hyperbolic-type equations (2000)
  18. Campbell, S.L.; Marszalek, W.: The index of an infinite dimensional implicit system (1999)
  19. Hoschek, Markus; Rentrop, Peter; Wagner, Yvonne: Network approach and differential-algebraic systems in technical applications (1999)
  20. Jay, Laurent O.: Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods (1999)

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