Nonlinear large deformation analysis of shells using the variational differential quadrature method based on the six-parameter shell theory

The present work is concerned with the application of the variational differential quadrature (VDQ) method (Faghih Shojaei and Ansari, 2017), in the area of computational mechanics, to the nonlinear large deformation analysis of shell-type structures. To this end, based on the six-parameter shell mo...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2018-11, Vol.106, p.130-143
Main Authors: Ansari, R., Hasrati, E., Shakouri, A.H., Bazdid-Vahdati, M., Rouhi, H.
Format: Article
Language:English
Subjects:
Annular plates
Beams (structural)
Computational mathematics
Cylindrical shells
Deformation
Deformation analysis
Differential equations
Hemispherical shells
Large deformation analysis
Mathematical models
Mechanical properties
Nonlinear analysis
Numerical analysis
Numerical methods
Parameters
Plates (structural members)
Quadratic forms
Shell theory
Six-parameter shell model
Variational differential quadrature method
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Summary:The present work is concerned with the application of the variational differential quadrature (VDQ) method (Faghih Shojaei and Ansari, 2017), in the area of computational mechanics, to the nonlinear large deformation analysis of shell-type structures. To this end, based on the six-parameter shell model, the functional of energy in quadratic form is derived based on Hamilton’s principle which is then directly discretized by the VDQ technique. The formulation of article is presented in a general form so that it can be readily used for different structures such as beams, annular plates, cylindrical shells and hemispherical shells under various loading conditions. In order to reveal the accuracy of developed solution strategy, it is tested in several popular benchmark problems for the geometric nonlinear analysis of shells. The results show that the present numerical method is capable of yielding highly accurate solution in the nonlinear large deformation analysis of shells. It is also easy to implement due to its compact and explicit matrix formulation. •A new approach for large deformation analysis of shells by 6-parameter shell theory.•A novel variational formulation applicable for various geometries.•Some advantages: easy implementation, general formulation, being locking-free.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2018.08.007