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A co‐rotational element/time‐integration strategy for non‐linear dynamics
Author(s) -
Crisfield M. A.,
Shi J.
Publication year - 1994
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.1620371108
Subject(s) - finite element method , element (criminal law) , dynamics (music) , rigid body dynamics , rigid body , constant (computer programming) , rotational dynamics , control theory (sociology) , classical mechanics , mathematics , mathematical analysis , computer science , physics , engineering , structural engineering , control (management) , quantum mechanics , artificial intelligence , molecule , political science , law , acoustics , programming language
Abstract New procedures are proposed for implicit dynamic analysis using the finite element method. The main aim is to give stable solutions with significant rigid‐body motions, in particular rotations. In contrast to most conventional approaches, the time‐integration strategy is closely linked to the ‘element technologies’ with the latter involving a form of co‐rotational procedure. For the undamped situation, one of the solution procedures leads to an algorithm that exactly conserves energy when constant external forces are applied (i.e. with gravity loading).