Natural frequencies of FGSW beam based on a high-order shear deformation theory and different estimated models


Bui Thi Thu Hoai 1,2, Le Thi Ngoc Anh 2,3, Nguyen Dinh Kien 1,2
1 - Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi
2 - Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet
3 - Institute of Applied Information and Mechanics, 291 Dien Bien Phu, HoChiMinh City
Email: [email protected]
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Natural frequencies of a functionally graded sandwich (FGSW) beam with various boundary conditions are evaluated by using a higher-order shear deformation theory and two different estimated models. The beam is assumed to be formed from an isotropic core and two functionally graded face sheets with volume fraction of constituents follows a power-law function. Both Voigt’s model and Mori-Tanaka’s scheme are employed to evaluate the material properties. Governing equations for the beam are derived from Hamilton’s principle and they are solved by a finite element model. Numerical investigations are carried out to show the accuracy of the present method and to illustrate the effects of geometric and material parameters as well as the boundary conditions on the frequencies of the beam. The difference between the frequencies based on Voigt’s model and Mori-Tanaka’s scheme is also examined and discussed.

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Natural frequencies of FGSW beam based on a high-order shear deformation theory and different estimated models Report description: Natural frequencies of a functionally graded sandwich (FGSW) beam with various boundary conditions are evaluated by using a higher-order shear deformation theory and two different estimated models. The beam is assumed to be formed from an isotropic core and two functionally graded face sheets with volume fraction of constituents follows a power-law function. Both Voigt’s model and Mori-Tanaka’s scheme are employed to evaluate the material properties. Governing equations for the beam are derived from Hamilton’s principle and they are solved by a finite element model. Numerical investigations are carried out to show the accuracy of the present method and to illustrate the effects of geometric and material parameters as well as the boundary conditions on the frequencies of the beam. The difference between the frequencies based on Voigt’s model and Mori-Tanaka’s scheme is also examined and discussed.


Natural frequencies of FGSW beam based on a high-order shear deformation theory and different estimated models


Natural frequencies of a functionally graded sandwich (FGSW) beam with various boundary conditions are evaluated by using a higher-order shear deformation theory and two different estimated models. The beam is assumed to be formed from an isotropic core and two functionally graded face sheets with volume fraction of constituents follows a power-law function. Both Voigt’s model and Mori-Tanaka’s scheme are employed to evaluate the material properties. Governing equations for the beam are derived from Hamilton’s principle and they are solved by a finite element model. Numerical investigations are carried out to show the accuracy of the present method and to illustrate the effects of geometric and material parameters as well as the boundary conditions on the frequencies of the beam. The difference between the frequencies based on Voigt’s model and Mori-Tanaka’s scheme is also examined and discussed.
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