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A General Framework of Higher-Order Shear Deformation Theory for Free Vibration Analysis of Functionally Graded Microplates
This paper proposes a unified higher-order shear deformation microplate model for vibration analysis of functionally graded materials. The theory is developed from fundamental equations of the elasticity theory and modified couple stress theory, from which many different frameworks of size-dependent plate models are recovered. In order to capture the size effects, the modified couple stress theory with one independent length-scale parameter is used. The solution field is approximated by bi-directional series in which hybrid shape functions are proposed, then the stiffness and mass matrix are explicitly derived. Numerical results are presented for different configurations of material distribution, side-to-thickness ratio, size-scale-thickness ratio and boundary conditions on the natural frequencies of functionally graded microplates.
A General Framework of Higher-Order Shear Deformation Theory for Free Vibration Analysis of Functionally Graded Microplates
This paper proposes a unified higher-order shear deformation microplate model for vibration analysis of functionally graded materials. The theory is developed from fundamental equations of the elasticity theory and modified couple stress theory, from which many different frameworks of size-dependent plate models are recovered. In order to capture the size effects, the modified couple stress theory with one independent length-scale parameter is used. The solution field is approximated by bi-directional series in which hybrid shape functions are proposed, then the stiffness and mass matrix are explicitly derived. Numerical results are presented for different configurations of material distribution, side-to-thickness ratio, size-scale-thickness ratio and boundary conditions on the natural frequencies of functionally graded microplates.
A General Framework of Higher-Order Shear Deformation Theory for Free Vibration Analysis of Functionally Graded Microplates
Lecture Notes in Civil Engineering
Reddy, J. N. (Herausgeber:in) / Wang, Chien Ming (Herausgeber:in) / Luong, Van Hai (Herausgeber:in) / Le, Anh Tuan (Herausgeber:in) / Tran, Van-Thien (Autor:in) / Nguyen, Trung-Kien (Autor:in)
21.09.2022
15 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Series-type solutions , Vibration , Functionally graded microplates , Modified couple stress theory Energy , Sustainable Architecture/Green Buildings , Structural Materials , Geotechnical Engineering & Applied Earth Sciences , Building Construction and Design , Construction Management , Environmental Policy , Engineering
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