Towards a rigorous justification of the Stiefel-Baumgarte stabilization method

1980 ◽  
Vol 21 (2) ◽  
pp. 225-236
Author(s):  
Urs Kirchgraber
Keyword(s):  
Stabilization Method ◽  
Baumgarte Stabilization

A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems

2010 ◽  
Vol 6 (1) ◽  
Author(s):  
Paulo Flores ◽  
Margarida Machado ◽  
Eurico Seabra ◽  
Miguel Tavares da Silva
Keyword(s):  
Parametric Study ◽  
Multibody Systems ◽  
Initial Conditions ◽  
Differential Algebraic Equations ◽  
Forward Dynamics ◽  
Stabilization Method ◽  
Time Step ◽  
Constrained Multibody Systems ◽  
Laplace Transform Technique ◽  
Baumgarte Stabilization

This paper presents and discusses the results obtained from a parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems. The main purpose of this work is to analyze the influence of the variables that affect the violation of constraints, chiefly the values of the Baumgarte parameters, the integration method, the time step, and the quality of the initial conditions for the positions. In the sequel of this process, the formulation of the rigid multibody systems is reviewed. The generalized Cartesian coordinates are selected as the variables to describe the bodies’ degrees of freedom. The formulation of the equations of motion uses the Newton–Euler approach, augmented with the constraint equations that lead to a set of differential algebraic equations. Furthermore, the main issues related to the stabilization of the violation of constraints based on the Baumgarte approach are revised. Special attention is also given to some techniques that help in the selection process of the values of the Baumgarte parameters, namely, those based on the Taylor’s series and the Laplace transform technique. Finally, a slider-crank mechanism with eccentricity is considered as an example of application in order to illustrate how the violation of constraints can be affected by different factors.

A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems

2009 ◽  
Author(s):  
Paulo Flores ◽  
Margarida Machado ◽  
Eurico Seabra ◽  
Miguel Tavares da Silva
Keyword(s):  
Parametric Study ◽  
Multibody Systems ◽  
Initial Conditions ◽  
Differential Algebraic Equations ◽  
Forward Dynamics ◽  
Stabilization Method ◽  
Time Step ◽  
Constrained Multibody Systems ◽  
Laplace Transform Technique ◽  
Baumgarte Stabilization

This paper presents and discusses the results obtained from a parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems. The main purpose of this work is to analyze the influence of the variables that affect the violation of constraints, chiefly the values of the Baumgarte parameters, the integration method, the time step and the quality of the initial conditions for the positions. In the sequel of this process the formulation of the rigid multibody systems is reviewed. The generalized Cartesian coordinates are selected as the variables to describe the bodies’ degrees of freedom. The formulation of the equations of motion uses the Newton-Euler approach that is augmented with the constraint equations that lead to a set of differential algebraic equations. Furthermore, the main issues related to the stabilization of the violation of constraints based on the Baumgarte approach are revised. Special attention is also given to some techniques that help in the selection process of the values of the Baumgarte parameters, namely those based on the Taylor’s series and Laplace transform technique. Finally, a slider crank mechanism with eccentricity is considered as an example of application in order to illustrated how the violation of constraints can be affected by different factors such as the Baumgarte parameters, integrator, time step and initial guesses.

Investigation on the Baumgarte Stabilization Method for Dynamic Analysis of Constrained Multibody Systems

2008 ◽  
pp. 305-312 ◽  
Author(s):  
Paulo Flores ◽  
Rui Pereira ◽  
Margarida Machado ◽  
Eurico Seabra
Keyword(s):  
Dynamic Analysis ◽  
Multibody Systems ◽  
Stabilization Method ◽  
Constrained Multibody Systems ◽  
Baumgarte Stabilization

Experimental Verification of Stabilization Method for Residential DC System Based on Passivity Criterion

2017 ◽  
Vol 137 (8) ◽  
pp. 631-638 ◽  
Author(s):  
Hiroki Yamano ◽  
Koji Takechi ◽  
Hiroaki Kakigano ◽  
Makoto Ohashi
Keyword(s):  
Experimental Verification ◽  
Stabilization Method ◽  
Dc System

Convergence analysis of a Riccati-based stabilization method

2001 ◽  
Author(s):  
X. Rao ◽  
K. Gallivan ◽  
P. Van Dooren
Keyword(s):  
Convergence Analysis ◽  
Stabilization Method

scholarly journals The Genuine Resonance of Full-Charm Tetraquarks

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 155
Author(s):  
Xiaoyun Chen
Keyword(s):  
Quark Model ◽  
Bound States ◽  
Expansion Method ◽  
Chiral Quark Model ◽  
Stabilization Method ◽  
Scaling Method ◽  
Resonance States ◽  
Gaussian Expansion Method ◽  
Color Structure ◽  
Quantum Numbers

In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method. In this calculation, two structures, meson-meson and diquark–antidiquark, as well as their mixing with all possible color-spin configurations, are considered. The results show that no bound states can be formed. However, resonances are possible because of the color structure. The genuine resonances are identified by the stabilization method (real scaling method). Several resonances for the full-charm system are proposed, and some of them are reasonable candidates for the full-charm states recently reported by LHCb.

The Effect of Diesel Fuel Pollution on the Efficiency of Soil Stabilization Method

2016 ◽  
Vol 35 (1) ◽  
pp. 475-484 ◽  
Author(s):  
H. Ghasemzadeh ◽  
M. Tabaiyan
Keyword(s):  
Diesel Fuel ◽  
Soil Stabilization ◽  
Stabilization Method

Investigation of the stabilization method for DC microgrid based on the loop counteraction technique

2015 ◽  
Author(s):  
Yang Zhonglin ◽  
Zha Xiaoming ◽  
Bu Leping
Keyword(s):  
Stabilization Method ◽  
Dc Microgrid
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