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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.80 No.3
- 발행연도
- 2021.11
- 수록면
- 275 - 284 (10page)
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초록· 키워드
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Nonlinear free vibration and thermal buckling of a beam resting on nonlinear are investigated in this study. In the nonlinear kinematic relations, the finite strain theory is used with Euler-Bernoulli and Hamilton’s principle is employed to derive the nonlinear governing of motion. The Galerkin’s method is applied to simplify the governing nonlinear partially differential equation to the nonlinear ordinary differential equation. In addition, He's variational method is employed to obtain an analytical expression for the nonlinear natural frequency and thermal buckling temperature. In this study, a comparison between the finite strain theory and the von Karman Theory is presented and the results shows that the finite strain theory gives more accurate results than the von Karman Theory for nonlinear natural frequency and thermal buckling temperature. In the numerical results, the effect of different parameters such as linear and nonlinear coefficients of the elastic foundation, boundary conditions and the amplitude of the oscillation on the thermal buckling temperature and the nonlinear natural frequency investigated.
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참고문헌 (66)
참고문헌 신청
Moussa Abualnour / 2019 / Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory / Computers and Concrete, An International Journal 24(6):489~498
Farouk Yahia Addou / 2019 / Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT / Computers and Concrete, An International Journal 24(4):347~367
Şeref D. Akbaş / 2019 / Nonlinear static analysis of laminated composite beams under hygro-thermal effect / Structural Engineering and Mechanics, An Int＇l Journal 72(4):433~441
Akbaş, Ş. D. / 2014 / Free vibration of axially functionally graded beams in thermal environment / Int. J. Eng. Appl. Sci 6(3):37~51
Akbaş, Ş. D. / 2015 / Post-buckling analysis of axially functionally graded three-dimensional beams / Int. J. Appl. Mech 7(3):1550047
Farouk Yahia Addou / 2019 / Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT / Computers and Concrete, An International Journal 24(4):347~367
Şeref D. Akbaş / 2019 / Nonlinear static analysis of laminated composite beams under hygro-thermal effect / Structural Engineering and Mechanics, An Int＇l Journal 72(4):433~441
Akbaş, Ş. D. / 2014 / Free vibration of axially functionally graded beams in thermal environment / Int. J. Eng. Appl. Sci 6(3):37~51
Akbaş, Ş. D. / 2015 / Post-buckling analysis of axially functionally graded three-dimensional beams / Int. J. Appl. Mech 7(3):1550047
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