scholarly journals The Lie group Euler methods of multibody system dynamics with holonomic constraints

2018 ◽  
Vol 10 (4) ◽  
pp. 168781401876415 ◽  
Author(s):  
Jieyu Ding ◽  
Zhenkuan Pan
Keyword(s):  
System Dynamics ◽  
Lie Group ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Holonomic Constraints ◽  
Euler Methods

scholarly journals Störmer-Verlet Integration Scheme for Multibody System Dynamics in Lie-Group Setting

2013 ◽  
Author(s):  
Zdravko Terze ◽  
Andreas Mueller ◽  
Dario Zlatar
Keyword(s):  
System Dynamics ◽  
Rigid Body ◽  
Lie Group ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Body Motion ◽  
Integration Scheme ◽  
Group Setting ◽  
Linear Spaces ◽  
Ode Systems

Störmer-Verlet integration scheme has many attractive properties when dealing with ODE systems in linear spaces: it is explicit, 2nd order, linear/angular momentum preserving and it is symplectic for Hamiltonian systems. In this paper we investigate its application for numerical simulation of the multibody system dynamics (MBS) by formulating Störmer-Verlet algorithm for the rotational rigid body motion in Lie-group setting. Starting from the investigations on the single free rigid body rotational dynamics, the paper introduces modified RATTLE integration scheme with the direct SO(3) rotational update. Furthermore, non-canonical Lie-group Störmer-Verlet integration scheme is presented through the different derivation stages. Several presented numerical examples show excellent conservation properties of the proposed geometric algorithm.

scholarly journals Preface to Symposium on Computational Geometric Methods in Multibody System Dynamics

2010 ◽  
Author(s):  
Zdravko Terze ◽  
Andreas Müller ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Geometric Methods

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

AIAA Journal ◽  
2018 ◽  
Vol 56 (2) ◽  
pp. 818-835 ◽  
Author(s):  
Xiaoting Rui ◽  
Laith K. Abbas ◽  
Fufeng Yang ◽  
Guoping Wang ◽  
Hailong Yu ◽  
...  
Keyword(s):  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Helicopter Rotor ◽  
Flapwise Vibration
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