Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics

作者: E. Bayo , A. Avello

DOI: 10.1007/BF00045677

关键词: HolonomicAugmented Lagrangian methodMatrix (mathematics)Differential equationGravitational singularityMultibody systemAlgorithmMathematicsRank (linear algebra)Jacobian matrix and determinant

摘要: … yet for the integration of multibody systems. A way to avoid the DAE is by differentiating the constraints. The resulting constraint violations are commonly stabilized using the method …

参考文章(36)
J. García de Jalón, J. M. Jiménez, A. Avello, F. Martín, J. Cuadrado, Real Time Simulation of Complex 3-D Multibody Systems With Realistic Graphics Springer, Berlin, Heidelberg. pp. 265- 292 ,(1990) , 10.1007/978-3-642-76159-1_14
Javier García de Jalón, Eduardo Bayo, Kinematic and Dynamic Simulation of Multibody Systems Springer New York. ,(1994) , 10.1007/978-1-4612-2600-0
J. L. Junkins, S. Hsu, A. J. Kurdila, Lyapunov stable penalty methods for imposing holonomic constraints in multibody system dynamics Nonlinear Dynamics. ,vol. 4, pp. 51- 82 ,(1993) , 10.1007/BF00047121
Roy Featherstone, Kluwer Academic Publishers, Robot Dynamics Algorithms ,(1987)
David A. Levinson, Thomas R. Kane, Dynamics : theory and applications McGraw-Hill. ,(1985)
Lawrence F Shampine, Marilyn K Gordon, Computer solution of ordinary differential equations : the initial value problem W. H. Freeman. ,(1975)
Dae-Sung Bae, Edward J. Haug, A Recursive Formulation for Constrained Mechanical System Dynamics: Part II. Closed Loop Systems Mechanics of Structures and Machines. ,vol. 15, pp. 481- 506 ,(1987) , 10.1080/08905458708905130
J. Baumgarte, Stabilization of constraints and integrals of motion in dynamical systems Computer Methods in Applied Mechanics and Engineering. ,vol. 1, pp. 1- 16 ,(1972) , 10.1016/0045-7825(72)90018-7
C. G. Liang, George M. Lance, A Differentiable Null Space Method for Constrained Dynamic Analysis Journal of Mechanisms, Transmissions, and Automation in Design. ,vol. 109, pp. 405- 411 ,(1987) , 10.1115/1.3258810
K. C. Park, J. C. Chiou, J. D. Downer, Explicit-implicit staggered procedure for multibody dynamics analysis Journal of Guidance Control and Dynamics. ,vol. 13, pp. 562- 570 ,(1990) , 10.2514/3.25370