Model Reduction Methods for Optimal Follow-the-Leader Movements of Binary Actuated, Hyper-redundant Robots

Author(s):  
Svenja Tappe ◽  
Dairong Yu ◽  
Jens Kotlarski ◽  
Tobias Ortmaier
2018 ◽  
Vol 51 (1) ◽  
pp. 36-54 ◽  
Author(s):  
Marja Liisa Rapo ◽  
Jukka Aho ◽  
Hannu Koivurova ◽  
Tero Frondelius

JuliaFEM is an open source finite element method solver written in the Julia language. This paper presents an implementation of two common model reduction methods: the Guyan reduction and the Craig-Bampton method. The goal was to implement these algorithms to the JuliaFEM platform and demonstrate that the code works correctly. This paper first describes the JuliaFEM concept briefly after which it presents the theory of model reduction, and finally, it demonstrates the implemented functions in an example model. This paper includes instructions for using the implemented algorithms, and reference the code itself in GitHub. The reduced stiness and mass matrices give the same results in both static and dynamic analyses as the original matrices, which proves that the code works correctly. The code runs smoothly on relatively large model of 12.6 million degrees of freedom. In future, damping could be included in the dynamic condensation now that it has been shown to work.


2014 ◽  
Vol 50 (11) ◽  
pp. 1-4 ◽  
Author(s):  
Michael Kirschneck ◽  
Daniel Rixen ◽  
Henk Polinder

PAMM ◽  
2004 ◽  
Vol 4 (1) ◽  
pp. 660-661
Author(s):  
Frank Blömeling ◽  
Heinrich Voss

2014 ◽  
Vol 27 (4) ◽  
pp. 835-845 ◽  
Author(s):  
Fei Xu ◽  
Chuanri Li ◽  
Tongmin Jiang ◽  
Shuanglong Rong

2003 ◽  
Vol 10 (3) ◽  
pp. 224 ◽  
Author(s):  
J. Pang ◽  
R. Dukkipati ◽  
W.N. Patten ◽  
G. Sheng

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