Structural Engineering and Mechanics

  • 제51권2호
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  • Pages.333-347
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Large deflection analysis of point supported super-elliptical plates

  • Altekin, Murat (Department of Civil Engineering, Yildiz Technical University)
  • 투고 : 2013.08.23
  • 심사 : 2014.05.18
  • 발행 : 2014.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

Nonlinear bending of super-elliptical plates of uniform thickness under uniform transverse pressure was investigated by the Ritz method. The material was assumed to be homogeneous and isotropic. The contribution of the boundary conditions at the point supports was introduced by the Lagrange multipliers. The solution was obtained by the Newton-Raphson method. The influence of the location of the point supports on the central deflection was highlighted by sensitivity analysis. An approximate relationship between the central deflection and the super-elliptical power was obtained using the method of least squares. The critical points where the maximum deflection may develop, and the influence of nonlinearity were highlighted. The nonlinearity was found to be sensitive to the aspect ratio. The accuracy of the algorithm was validated by comparing the central deflection with the solutions of elliptical and rectangular plates.

키워드

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피인용 문헌

  1. Static deflections of symmetrically laminated quasi-isotropic super-elliptical thin plates vol.141, 2017, https://doi.org/10.1016/j.oceaneng.2017.06.032
  2. Elastic Buckling and Post-Buckling of Von Mises Planar Trusses vol.769, pp.1662-7482, 2015, https://doi.org/10.4028/www.scientific.net/AMM.769.49
  3. Free transverse vibration of shear deformable super-elliptical plates vol.24, pp.4, 2017, https://doi.org/10.12989/was.2017.24.4.307
  4. Dynamic response of thin plates on time-varying elastic point supports vol.62, pp.4, 2017, https://doi.org/10.12989/sem.2017.62.4.431
  5. Concerning the tensor-based flexural formulation: Theory vol.70, pp.4, 2014, https://doi.org/10.12989/sem.2019.70.4.445
  6. Concerning the tensor-based flexural formulation: Applications vol.77, pp.6, 2021, https://doi.org/10.12989/sem.2021.77.6.765