A study on numerical solution method for efficient dynamic analysis of constrained multibody systems

2008 ◽  
Vol 22 (4) ◽  
pp. 714-721 ◽  
Author(s):  
Jae-Hwan Lim ◽  
Hong Jae Yim ◽  
Si-Hyung Lim ◽  
Taewon Park
Keyword(s):  
Dynamic Analysis ◽  
Numerical Solution ◽  
Multibody Systems ◽  
Solution Method ◽  
Numerical Solution Method ◽  
Constrained Multibody Systems

A Study on Numerical Solution Method for Efficient Dynamic Analysis of Constrained Multibody Systems

2005 ◽  
Author(s):  
Jae-Hwan Lim ◽  
Hong Jae Yim ◽  
Jung Hun Park ◽  
Tae-Won Park ◽  
Minseok Kang ◽  
...  
Keyword(s):  
Parallel Processing ◽  
Numerical Solution ◽  
Multibody Systems ◽  
Solution Method ◽  
Computational Method ◽  
Numerical Accuracy ◽  
Numerical Solution Method ◽  
Constrained Multibody Systems ◽  
Time Simulation ◽  
Local Parametrization

An efficient computational method for the constrained multibody systems is proposed. In the proposed method, local parametrization method is employed to apply the same solution method for position, velocity, and acceleration analyses since the coefficient matrices for each analysis have an identical matrix pattern. The skyline solution method is used to overcome numerical inefficiency when solving large scaled equations. Subsystem partitioning method is derived systematically to perform parallel processing for the real time simulation. To show the numerical accuracy and efficiency of the proposed method, three numerical problems are solved.

On the Use of the Canonical Equations of Motion for the Dynamic Analysis of Constrained Multibody Systems

1992 ◽  
Author(s):  
E. Bayo ◽  
J. M. Jimenez
Keyword(s):  
Dynamic Analysis ◽  
Multibody Systems ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Numerical Algorithms ◽  
Constrained Multibody Systems ◽  
Constrained Mechanical Systems ◽  
First Order ◽  
Canonical Variables ◽  
Lagrange’S Multipliers

Abstract We investigate in this paper the different approaches that can be derived from the use of the Hamiltonian or canonical equations of motion for constrained mechanical systems with the intention of responding to the question of whether the use of these equations leads to more efficient and stable numerical algorithms than those coming from acceleration based formalisms. In this process, we propose a new penalty based canonical description of the equations of motion of constrained mechanical systems. This technique leads to a reduced set of first order ordinary differential equations in terms of the canonical variables with no Lagrange’s multipliers involved in the equations. This method shows a clear advantage over the previously proposed acceleration based formulation, in terms of numerical efficiency. In addition, we examine the use of the canonical equations based on independent coordinates, and conclude that in this second case the use of the acceleration based formulation is more advantageous than the canonical counterpart.

Numerical Solution Method Improvements for RETRAN

1983 ◽  
Vol 61 (2) ◽  
pp. 167-180 ◽  
Author(s):  
E. D. Hughes ◽  
K. R. Katsma
Keyword(s):  
Numerical Solution ◽  
Solution Method ◽  
Numerical Solution Method

The Equation of the Limit Replacement Width of Non-Newton Fluid in Eccentric Annulus

2013 ◽  
Vol 807-809 ◽  
pp. 2616-2619
Author(s):  
Yin Qing Liu ◽  
Mei Wei Wang ◽  
Hai Qing Cui
Keyword(s):  
Numerical Solution ◽  
Rheological Properties ◽  
Power Law ◽  
Solution Method ◽  
Cement Slurry ◽  
Power Law Fluid ◽  
Two Phase ◽  
Numerical Solution Method ◽  
Eccentric Annulus ◽  
The One

The equation of the limit replacement width of the one-dimension two-phase flow of Bingham fluid replacing Power law fluid in eccentric annulus was established, the numerical solution method of the equation mentioned above was given and taking the 3 wells, such as the He 104-27 well etc for examples, the limit replacement widths of cement slurry displacing mud, whose rheological properties can be described as Bingham and Power law modles respectively, were calculated, by using the equation and the numerical solution method mentioned above, and compared with those of cement slurry displacing mud, whose rheological properties are all described as Binghanm modle.

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