scholarly journals Augmented lagrangian and mass-orthogonal projection methods for constrained multibody dynamics

1996 ◽  
Vol 9 (1-2) ◽  
pp. 113-130 ◽  
Author(s):  
E. Bayo ◽  
R. Ledesma
Keyword(s):  
Multibody Dynamics ◽  
Orthogonal Projection ◽  
Augmented Lagrangian ◽  
Projection Methods ◽  
Constrained Multibody Dynamics

Application Criteria for Conserving Integrators and Projection Methods in Multibody Dynamics

2007 ◽  
Author(s):  
Daniel Dopico ◽  
Javier Cuadrado ◽  
Juan C. Garcia Orden ◽  
Alberto Luaces
Keyword(s):  
Recent Work ◽  
Multibody Dynamics ◽  
Multibody Systems ◽  
Augmented Lagrangian ◽  
Augmented Lagrangian Method ◽  
Projection Methods ◽  
Orthogonal Projections ◽  
Dynamics Of Multibody Systems ◽  
Energy Conserving ◽  
Realistic Problem

This work presents the application to the dynamics of multibody systems of two methods based on augmented Lagrangian techniques, compares them, and gives some criteria for its use in realistic problems. The methods are an augmented Lagrangian method with orthogonal projections of velocities and accelerations, and an augmented Lagrangian energy conserving method. Both methods were presented by the authors in a very recent work, but it was not complete since the testing and the comparison of the methods was done by simulating a simple and academic example, and that was not sufficient to draw conclusions in terms of efficiency. For this work, the whole model of a vehicle has been simulated through both formulations, and their performance compared for such a large and realistic problem.

Multibody Dynamics Since 1990

1996 ◽  
Vol 49 (10S) ◽  
pp. S35-S40 ◽  
Author(s):  
R. L. Huston
Keyword(s):  
Multibody Dynamics ◽  
State Of The Art ◽  
The State ◽  
Technical Literature ◽  
Research Opportunities ◽  
Constrained Multibody Dynamics ◽  
Major Increase

This is a review of multibody dynamics research reported in the technical literature since 1990. It is an update of an earlier review appearing in 1991. In the five to six years since the writing of that first review, it is found that the literature has greatly expanded, attesting to a major increase in research efforts, with the greatest increase occurring in flexible and constrained multibody dynamics. In this review, the state-of-the-art of the research is briefly outlined and a discussion about unresolved issues and research opportunities is presented.

Geometric Stiffness for Real-time Constrained Multibody Dynamics

2017 ◽  
Vol 36 (2) ◽  
pp. 235-246 ◽  
Author(s):  
Sheldon Andrews ◽  
Marek Teichmann ◽  
Paul G. Kry
Keyword(s):  
Real Time ◽  
Multibody Dynamics ◽  
Geometric Stiffness ◽  
Constrained Multibody Dynamics

scholarly journals Behaviour of augmented Lagrangian and Hamiltonian methods for multibody dynamics in the proximity of singular configurations

2016 ◽  
Vol 85 (3) ◽  
pp. 1491-1508 ◽  
Author(s):  
Francisco González ◽  
Daniel Dopico ◽  
Roland Pastorino ◽  
Javier Cuadrado
Keyword(s):  
Multibody Dynamics ◽  
Augmented Lagrangian ◽  
Singular Configurations ◽  
Hamiltonian Methods

Solving Huge Gyroscopic Eigenproblems With AMLS and Subspace Iteration

2012 ◽  
Author(s):  
Heinrich Voss ◽  
Jiacong Yin ◽  
Pu Chen
Keyword(s):  
Structural Analysis ◽  
Orthogonal Projection ◽  
Eigenvalue Problems ◽  
Projection Methods ◽  
Powerful Technique ◽  
Subspace Iteration

The Automated Multilevel Sub-structuring (AMLS) method is a powerful technique for computing a large number of eigenpairs with moderate accuracy for huge definite eigenvalue problems in structural analysis. It also turned out to be a useful tool to construct a suitable ansatz space for orthogonal projection methods for gyroscopic problems. This paper takes advantage of information gained from AMLS to improve the obtained eigenpairs via a small number of subspace iteration steps.

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