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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.66 No.5
- 발행연도
- 2018.1
- 수록면
- 557 - 568 (12page)
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초록· 키워드
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An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman’s equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.
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참고문헌 (53)
참고문헌 신청
Ahmed Bakora / 2015 / Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations / Structural Engineering and Mechanics, An Int＇l Journal 56(1):85~106
Banic, D. / 2017 / Influence of Winkler-Pasternak foundation on the vibrational behavior of plates and shells reinforced by agglomerated carbon nanotubes / Appl. Sci. 7(12):1~55
Belinha, J. / 2007 / Nonlinear analysis of plates and laminates using the element free Galerkin method / Compos. Struct. 78(3):337~350
Dai, K.Y. / 2004 / A mesh-free radial point interpolation method for analysis of functionally graded material (FGM) plates / Comput. Mech. 34(3):213~223
Fantuzzi, N. / 2017 / Free vibration analysis of arbitrarily shaped functionally graded carbon nanotube-reinforced plates / Compos. Part B.-Eng. 115:384~408
Banic, D. / 2017 / Influence of Winkler-Pasternak foundation on the vibrational behavior of plates and shells reinforced by agglomerated carbon nanotubes / Appl. Sci. 7(12):1~55
Belinha, J. / 2007 / Nonlinear analysis of plates and laminates using the element free Galerkin method / Compos. Struct. 78(3):337~350
Dai, K.Y. / 2004 / A mesh-free radial point interpolation method for analysis of functionally graded material (FGM) plates / Comput. Mech. 34(3):213~223
Fantuzzi, N. / 2017 / Free vibration analysis of arbitrarily shaped functionally graded carbon nanotube-reinforced plates / Compos. Part B.-Eng. 115:384~408
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