Operational Research in Engineering Sciences

Journal DOI: https://doi.org/10.31181/oresta190101s

(A Journal of Management and Engineering) ISSN 2620-1607 | ISSN 2620-1747 |

Highly efficient FE simulations by means of simplified corotational formulation

Dragan Marinković,
Berlin Institute of Technology, Department of Structural Analysis, Germany
Manfred Zehn,
Berlin Institute of Technology, Department of Structural Analysis, Germany
Ana Pavlović,
Department Industrial Engineering, Alma Mater Studiorum University of Bologna, Italy

Abstract

Finite Element Method (FEM) has deservedly gained the reputation of the most powerful numerical method in the field of structural analysis. It offers tools to perform various kinds of simulations in this field, ranging from static linear to nonlinear dynamic analyses. In recent years, a particular challenge is development of FE formulations that enable highly efficient simulations, aiming at real-time dynamic simulations as a final objective while keeping high simulation fidelity such as nonlinear effects. The authors of this paper propose a simplified corotational FE formulation as a possible solution to this challenge. The basic idea is to keep the linear behavior of each element in the FE assemblage, but to extract the rigid-body motion on the element level and include it in the formulation to cover geometric nonlinearities. This paper elaborates the idea and demonstrates it on static cases with three different finite element types. The objective is to check the achievable accuracy based on such a simplified geometrically nonlinear FE formulation. In the considered examples, the difference between the results obtained with the present formulation and those by rigorous formulations is less than 3% although fairly large deformations are induced.

Keywords
Structural analysis, Co-rotational FEM, Geometric nonlinearity, Solid, Shell.

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CiteScore for Management Science and Operations Research

8.1
2021CiteScore
 
 
89th percentile
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CiteScore for Engineering (miscellaneous)

8.1
2021CiteScore
 
 
93rd percentile
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