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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.18 No.4
- 발행연도
- 2015.1
- 수록면
- 1,063 - 1,081 (19page)
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초록· 키워드
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In this paper, a new nonlocal hyperbolic refined plate model is presented for free vibration properties of functionally graded (FG) plates. This nonlocal nano-plate model incorporates the length scale parameter which can capture the small scale effect. The displacement field of the present theory is chosen based on a hyperbolic variation in the in-plane displacements through the thickness of the nano-plate. By dividing the transverse displacement into the bending and shear parts, the number of unknowns and equations of motion of the present theory is reduced, significantly facilitating structural analysis. The material properties are assumed to vary only in the thickness direction and the effective properties for the FG nano-plate are computed using Mori-Tanaka homogenization scheme. The governing equations of motion are derived based on the nonlocal differential constitutive relations of Eringen in conjunction with the refined four variable plate theory via Hamilton's principle. Analytical solution for the simply supported FG nano-plates is obtained to verify the theory by comparing its results with other available solutions in the open literature. The effects of nonlocal parameter, the plate thickness, the plate aspect ratio, and various material compositions on the dynamic response of the FG nano-plate are discussed.
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참고문헌 (62)
참고문헌 신청
Aghababaei, R. / 2009 / Non-local third-order shear deformation plate theory with application to bending and vibration of plates / J. Sound Vib 326(1-2):227~289
Aifantis, E. C. / 1999 / Strain gradient interpretation of size effects / Int. J. Fract 95(1-4):1~4
Ait Amar Meziane, M. / 2014 / An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions / J. Sandw. Struct. Mater 16(3):293~318
Sihame Ait Yahia / 2015 / Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories / Structural Engineering and Mechanics, An Int＇l Journal 53(6):1143~1165
Bachir Bouiadjra, M. / 2012 / Thermal buckling of functionally graded plates according to a four-variable refined plate theory / J. Therm. Stress 35(8):677~694
Aifantis, E. C. / 1999 / Strain gradient interpretation of size effects / Int. J. Fract 95(1-4):1~4
Ait Amar Meziane, M. / 2014 / An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions / J. Sandw. Struct. Mater 16(3):293~318
Sihame Ait Yahia / 2015 / Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories / Structural Engineering and Mechanics, An Int＇l Journal 53(6):1143~1165
Bachir Bouiadjra, M. / 2012 / Thermal buckling of functionally graded plates according to a four-variable refined plate theory / J. Therm. Stress 35(8):677~694
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