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Nonconforming
generalized H-R mixed element for static and dynamic analysis
of piezoelectric composite laminated plates
Chenchen Li, Yanhong Liu and Yuhang Wang |
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Vol. 18 (2023), No. 3, 405–425
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Abstract |
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A nonconforming generalized H-R mixed finite element is developed for static and dynamic analysis of piezoelectric composite laminated plates. The overall structure is solved discretely using 8-node hexahedral nonconforming solid elements, discarding many of the artificial assumptions in the plate and shell theories. The displacement and stress can be obtained directly through linear equations, including potential and electric displacement. The -continuous polynomial shape function commonly for the displacement methods is used to represent the displacement variables and stress variables, and the nonconforming term is introduced into the interior of the elements, which allows it to show better numerical performance than the similar conforming elements. The displacement and stress boundary conditions are introduced simultaneously so that the actual out-of-plane stress results are obtained at the free boundary. The free-vibrational characteristic equations for piezoelectric laminated plates are derived by combining the nonconforming generalized H-R mixed variational principle with Hamiltonian principle. The accuracy of the present method is verified by analyzing several representative numerical examples of laminated plates. |
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Keywords
nonconforming generalized mixed element, piezoelectric
laminated plates, composite material, static and dynamic
analysis
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Milestones
Received: 1 November 2022
Revised: 15 December 2022
Accepted: 3 January 2023
Published: 5 May 2023
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Authors |
| Chenchen Li | |
| College of Aeronautical
Engineering Civil Aviation University of China Tianjin China |
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| Yanhong Liu | |
| College of Aeronautical
Engineering Civil Aviation University of China Tianjin China |
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| Yuhang Wang | |
| College of Aeronautical
Engineering Civil Aviation University of China Tianjin China |
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| © 2023 MSP (Mathematical Sciences Publishers). |
