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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.75 No.2
- 발행연도
- 2020.1
- 수록면
- 193 - 209 (17page)
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This paper presents a new hyperbolic shear deformation plate theory including the stretching effect for free vibration of the simply supported functionally graded plates in thermal environments. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. This theory has only five unknowns, which is even less than the other shear and normal deformation theories. The present one has a new displacement field which introduces undetermined integral variables. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume power laws of the constituents. The equation of motion of the vibrated plate obtained via the classical Hamilton’s principle and solved using Navier’s steps. The accuracy of the proposed solution is checked by comparing the present results with those available in existing literature. The effects of the temperature field, volume fraction index of functionally graded material, side-to-thickness ratio on free vibration responses of the functionally graded plates are investigated. It can be concluded that the present theory is not only accurate but also simple in predicting the natural frequencies of functionally graded plates with stretching effect in thermal environments.
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참고문헌 (56)
참고문헌 신청
Adhikari, B. / 2019 / Dynamic response of functionally graded plates resting on two-parameter-based elastic foundation model using a quasi-3D theory / Mech. Based Design Struct. Machines :1~31
Akbaş, Ş. D. / 2017 / Vibration and static analysis of functionally graded porous plates / J. Appl. Comput. Mech 3(3):199~207
Alibeigloo, A. / 2015 / Static and free vibration analyses of functionally graded sandwich plates using state space differential quadrature method / J. Mech. Solids 54:252~266
Amina Attia / 2015 / Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories / Steel and Composite Structures, An International Journal 18(1):187~212
Berghouti, H. / 2019 / Vibration analysis of nonlocal porous nanobeams made of functionally graded material / Adv. Nano Res 7(5):351~364
Akbaş, Ş. D. / 2017 / Vibration and static analysis of functionally graded porous plates / J. Appl. Comput. Mech 3(3):199~207
Alibeigloo, A. / 2015 / Static and free vibration analyses of functionally graded sandwich plates using state space differential quadrature method / J. Mech. Solids 54:252~266
Amina Attia / 2015 / Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories / Steel and Composite Structures, An International Journal 18(1):187~212
Berghouti, H. / 2019 / Vibration analysis of nonlocal porous nanobeams made of functionally graded material / Adv. Nano Res 7(5):351~364
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