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Study on sub‐cycling for flexible multi‐body dynamics based on Newmark method
Author(s) -
Miao J. C.,
Zhu P.,
Shi G. L.,
Chen G. L.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2251
Subject(s) - cycling , newmark beta method , finite element method , process (computing) , computer science , stability (learning theory) , algorithm , dynamics (music) , mathematics , structural engineering , engineering , physics , archaeology , machine learning , acoustics , history , operating system
A sub‐cycling algorithm presented by Belytschko and Mullen ( Int. J. Numer. Meth. Engng 1978; 12 (10):1575–1586) has been successfully applied in the finite element method. However, the problem of how to apply the sub‐cycling to flexible multi‐body dynamics (FMD) still lacks investigation. This paper presents a Newmark‐based sub‐cycling, which is suitable for solving condensed FMD models. Common‐step update formulae and sub‐step update formula for the sub‐cycling are established based on the original Newmark integration algorithm. Stability of the procedure is validated by means of energy balance checking during the integral process. Numerical examples indicate that the sub‐cycling is able to enhance the computational efficiency without dropping accuracy greatly. Copyright © 2007 John Wiley & Sons, Ltd.