Fundamental frequency of a two-directional functionally beam based on refined shear deformation theories


Le Cong Ich 1, Le Thi Ngoc Anh 2,3, Nguyen Dinh Kien 3,4
1 - Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi
2 - Institute of Applied Information and Mechanics, 291 Dien Bien Phu, HoChiMinh City
3 - Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet
4 - Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi
Email: [email protected]
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Tóm tắt báo cáo

Two refined shear deformation beam theories, namely Reddy-Bickford and quas-3D theories are employed to derived equations of motion of a two-directional functionally graded sandwich (2D-FGSW) beam. The beam is composed from a homogeneous core and two functionally graded skin layers. The material properties of the layers are assumed to be graded in both thickness and length directions by a power-law distribution. A finite element formulation is derived and employed in computing the fundamental frequency of the beam. Numerical result of the present paper shows that the frequency evaluated by Reddy-Bickford shear deformation theory is higher than that obtained by the quasi-3D theory. The dependence of the frequency upon the material grading indexes is examined and highlighted.

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Đánh giá:
Fundamental frequency of a two-directional functionally beam based on refined shear deformation theories Report description: Two refined shear deformation beam theories, namely Reddy-Bickford and quas-3D theories are employed to derived equations of motion of a two-directional functionally graded sandwich (2D-FGSW) beam. The beam is composed from a homogeneous core and two functionally graded skin layers. The material properties of the layers are assumed to be graded in both thickness and length directions by a power-law distribution. A finite element formulation is derived and employed in computing the fundamental frequency of the beam. Numerical result of the present paper shows that the frequency evaluated by Reddy-Bickford shear deformation theory is higher than that obtained by the quasi-3D theory. The dependence of the frequency upon the material grading indexes is examined and highlighted.


Fundamental frequency of a two-directional functionally beam based on refined shear deformation theories


Two refined shear deformation beam theories, namely Reddy-Bickford and quas-3D theories are employed to derived equations of motion of a two-directional functionally graded sandwich (2D-FGSW) beam. The beam is composed from a homogeneous core and two functionally graded skin layers. The material properties of the layers are assumed to be graded in both thickness and length directions by a power-law distribution. A finite element formulation is derived and employed in computing the fundamental frequency of the beam. Numerical result of the present paper shows that the frequency evaluated by Reddy-Bickford shear deformation theory is higher than that obtained by the quasi-3D theory. The dependence of the frequency upon the material grading indexes is examined and highlighted.
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