A finite element model for static and dynamic analysis of thin-walled beams with asymmetric cross-sections

1996 ◽  
Vol 61 (5) ◽  
pp. 897-908 ◽  
Author(s):  
Yuren Hu ◽  
Xianding Jin ◽  
Bozhen Chen
2013 ◽  
Vol 682 ◽  
pp. 185-190
Author(s):  
S. Sakami ◽  
H. Sabhi ◽  
R. Ayad

The model DDM (Discrete Displacement Mindlin), leads to a finite element which is geometrically simple: 4-node quadrilateral with 5 doffs per node for a shell and efficient. The mid-side rotational nodes, derived from a quadratic interpolation of normal rotations, are eliminated using a combination of local discrete kinematic and constitutive Mindlin hypotheses. The derived 4-node element is free of shear locking and passes all patch tests for thick and thin plates in arbitrary mesh. The applications concern the static and dynamic analysis of sandwich and multilayered shells.


2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Yiping Shen ◽  
Zhijun Zhu ◽  
Songlai Wang ◽  
Gang Wang

Tapered thin-walled structures have been widely used in wind turbine and rotor blade. In this paper, a spectral finite element model is developed to investigate tapered thin-walled beam structures, in which torsion related warping effect is included. First, a set of fully coupled governing equations are derived using Hamilton’s principle to account for axial, bending, and torsion motion. Then, the differential transform method (DTM) is applied to obtain the semianalytical solutions in order to formulate the spectral finite element. Finally, numerical simulations are conducted for tapered thin-walled wind turbine rotor blades and validated by the ANSYS. Modal frequency results agree well with the ANSYS predictions, in which approximate 30,000 shell elements were used. In the SFEM, one single spectral finite element is needed to perform such calculations because the interpolation functions are deduced from the exact semianalytical solutions. Coupled axial-bending-torsion mode shapes are obtained as well. In summary, the proposed spectral finite element model is able to accurately and efficiently to perform the modal analysis for tapered thin-walled rotor blades. These modal frequency and mode shape results are important to carry out design and performance evaluation of the tapered thin-walled structures.


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