scholarly journals Improved HHT integration method for index-2 over-determined equations of motion in multibody system dynamics

2018 ◽  
Vol 48 (2) ◽  
pp. 229-236
Author(s):  
XiuTeng MA ◽  
YanBo ZHAI ◽  
ShouYong XIE
Author(s):  
Zhenkuan Pan ◽  
Weijia Zhao

Abstract A new automatic constraint violation stabilization algorithm for numerical integration of Euler-Lagrange equations of motion of multibody system dynamics based on Baumgarte constraint violation stabilization method and Taylor expansion of constraint functions is presented. The constraint equations may be holonomic or nonholonomic. The parameters α, β, σ used in Baumgarte’s method are determined automatically according to integration step. Some numerical examples compare the accuracy between the traditional method and the one suggested in this paper are presented finally.


2010 ◽  
Author(s):  
Zdravko Terze ◽  
Andreas Müller ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras

AIAA Journal ◽  
2018 ◽  
Vol 56 (2) ◽  
pp. 818-835 ◽  
Author(s):  
Xiaoting Rui ◽  
Laith K. Abbas ◽  
Fufeng Yang ◽  
Guoping Wang ◽  
Hailong Yu ◽  
...  

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