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A simplified co-rotational approach for triangular shell elements based on the pure deformational mode
Ist Teil von
Shell Structures: Theory and Applications Volume 4, 2018, p.391-394
Auflage
1
Ort / Verlag
CRC Press
Erscheinungsjahr
2018
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In the paper, a novel simplified co-rotational formulation for triangular shell elements is proposed, which has clear physical meanings and is much simpler and easier to visualize than the conventional method. This simplified method inherits the property of element-independence from the conventional method, which means that the existing linear shell elements can be directly incorporated with it to conduct the geometrically nonlinear analysis. In addition, a novel pure deformational method is proposed, which can simplify derivation and formulation of a local triangular shell element. To illustrate the performance of the novel co-rotational algorithm, the triangular flat shell element consisting of the membrane element with drilling rotations and the plate element allowing for shear deformation is used. Finally, two benchmark problems are employed to validate the robustness and accuracy of the proposed formulation.
This chapter presents a novel simplified co-rotational formulation for triangular shell elements, which has clear physical meanings and is much simpler and easier to visualize than the conventional method. This simplified method inherits the property of element-independence from the conventional method, which means that the existing linear shell elements can be directly incorporated with it to conduct the geometrically nonlinear analysis. The chapter describes a novel simplified co-rotational formulation to improve the efficiency with a simpler expression. Shell finite elements are frequently used in the analysis of civil engineering and building structures to simulate plates, walls and thin-walled structures. Compared with the conventional co-rotational algorithm, the simplified co-rotational algorithm neglects the projector matrix which reflects the dimension change of the local element. The pure deformational method is an efficient way to simplify element formulations, while the simplified co-rotational algorithm is concise and works well in terms of accuracy and efficiency.