Comparison of finite element method based on nodal displacement and absolute nodal coordinate formulation (ANCF) in thin shell analysis

In the thin shell analysis of welded pad reinforced nozzles in pressure vessels, no contact between pad and vessel is often assumed. The significance of this contact force to the stress distribution in the structure is little known. In this paper, stress results from the finite element analysis, which includes the contact force between the pad and the vessel, are reported. A comparison of the finite element results with those from thin shell analysis and experiments shows that the finite element method with contact assumption yields improved theoretical prediction for the stress distribution. The effect of both the gap and friction between the pad and the vessel are also investigated.

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Comparison of Three-Dimensional Flexible Beam Elements for Dynamic Analysis: Finite Element Method and Absolute Nodal Coordinate Formulation

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C ◽

10.1115/detc2005-85104 ◽

2005 ◽

Cited By ~ 26

Author(s):

A. L. Schwab ◽

J. P. Meijaard

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dynamic Analysis ◽

Flexible Beam ◽

Shear Locking ◽

Elastic Line ◽

Absolute Nodal Coordinate ◽

Bending Mode ◽

Asymmetric Bending ◽

Element Method

Three formulations for a flexible spatial beam element for dynamic analysis are compared: a finite element method (FEM) formulation, an absolute nodal coordinate (ANC) formulation with a continuum mechanics approach and an ANC formulation with an elastic line concept where the shear locking of the asymmetric bending mode is suppressed by the application of the Hellinger–Reissner principle. The comparison is made by means of an eigenfrequency analysis on two stylized problems. It is shown that the ANC continuum approach yields too large torsional and flexural rigidity and that shear locking suppresses the asymmetric bending mode. The presented ANC formulation with the elastic line concept resolves most of these problems.

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Analysis of a radiating thin‐shell sonar transducer using the finite‐element method

The Journal of the Acoustical Society of America ◽

10.1121/1.398738 ◽

1989 ◽

Vol 86 (4) ◽

pp. 1245-1253 ◽

Cited By ~ 26

Author(s):

Bernard Hamonic ◽

Jean Claude Debus ◽

Jean‐Noël Decarpigny ◽

Didier Boucher ◽

Bernard Tocquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Thin Shell ◽

The Finite Element Method ◽

Element Method

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A large deformation formulation for shell analysis by the finite element method

Computers & Structures ◽

10.1016/0045-7949(81)90105-x ◽

1981 ◽

Vol 13 (1-3) ◽

pp. 19-27 ◽

Cited By ~ 32

Author(s):

Worsak Kanok-Nukulchai ◽

Robert L. Taylor ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Deformation ◽

The Finite Element Method ◽

Shell Analysis ◽

Element Method

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A smoothed finite element method for shell analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.05.029 ◽

2008 ◽

Vol 198 (2) ◽

pp. 165-177 ◽

Cited By ~ 173

Author(s):

N. Nguyen-Thanh ◽

Timon Rabczuk ◽

H. Nguyen-Xuan ◽

Stéphane P.A. Bordas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shell Analysis ◽

Smoothed Finite Element Method ◽

Element Method

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Improved error of electromagnetic shielding problems by a two-process coupling subproblem technique

Science and Technology Development Journal ◽

10.32508/stdj.v23i2.2054 ◽

2020 ◽

Vol 23 (2) ◽

pp. First

Author(s):

Vuong Quoc Dang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Thin Shell ◽

Eddy Currents ◽

Power Losses ◽

Thin Region ◽

Actual Volume ◽

Process Coupling ◽

Good Agreement ◽

Element Method

Introduction: The direct application of the classcial finite element method for dealing with magnetodynamic problems consisting of thin regions is extremely difficult or even not possible. Many authors have been recently developed a thin shell model in order to overcome this drawback. However, this development generally neglects inaccuracies around edges and corners of thin shell, that lead to inaccuracies of the magnetic fields, eddy currents and joule power losses, specially increasing with the thickness. Methods: In this article, we propose a two-process coupling subproblem technique for improving the errors that overcome thin shell assumptions. This technique is based on the subproblem method to couple SPs in two-processes. The first scenario is an initial problem solved with coils/stranded inductors together with thin region models. The obtained solutions are then considered as volume sources for the second scenario including actual volume improvements that scope with the thin shell assumptions. The final solution is sum up of the subproblem solutions achieved from both the scenarios. The extended method is approached for the h-conformal magnetic formulation. Results: The obtained results of the method are checked/compared to be close to the reference solutions computed from the classcial finite element method and the measured results. This can be pointed out a very good agreement. Conclusion: The extended method has been also successfully applied to the practical problem (TEAM workshop problem 21, model B).

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