Structural Engineering and Mechanics

  • 제6권7호
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  • Pages.727-746
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  • 1998
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analysis of composite plates using various plate theories -Part 2: Finite element model and numerical results

  • Bose, P. (Department of Mechanical Engineering, Texas A&M University) ;
  • Reddy, J.N. (Department of Mechanical Engineering, Texas A&M University)
  • 발행 : 1998.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

Finite element models and numerical results are presented for bending and natural vibration using the unified third-order plate theory developed in Part 1 of this paper. The unified third-order theory contains the classical, first-order, and other third-order plate theories as special cases. Analytical solutions are developed using the Navier and L$\acute{e}$vy solution procedures (see Part 1 of the paper). Displacement finite element models of the unified third-order theory are developed herein. The finite element models are based on $C^0$ interpolation of the inplane displacements and rotation functions and $C^1$ interpolation of the transverse deflection. Numerical results of bending and natural vibration are presented to evaluate the accuracy of various plate theories.

키워드

참고문헌

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  3. Reddy, J.N. (1993), An Introduction to the Finite Element Method, McGraw-Hill, 2nd edition.
  4. Reddy, J.N. (1997), Mechanics of Laminated Plates: Theory and Analysis, CRC Press, Boca ,Raton, FL.
  5. Srinivas, S.;Rao, A.K. and Joga Rao, C.V. (1966), "Flexure of simply supported thick homogeneous and laminated rectangular plates", Zeitschrift fur Angewandte Mathematik and Mechanik, 49, 449-458.
  6. Srinivas, S. and Rao, A.K. (1970)," Bending, vibrations and buckling of simply supported thick orthotropic rectangular plates and laminates", International Journal of Solids and Structures, 6, 1464-1481.
  7. Srinivas, S., Joga Rao, C.V. and Rao, A.K. (1970), "An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates", Journal of Sound and Vibration, 12, 187-199. https://doi.org/10.1016/0022-460X(70)90089-1
  8. Srinivas, S. (1973), "A refined analysis of composite laminates", Journal of Sound and Vibration, 30, 495-507. https://doi.org/10.1016/S0022-460X(73)80170-1
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피인용 문헌

  1. On a Four-Node Quadrilateral Plate for Laminated Composites vol.14, pp.12, 2017, https://doi.org/10.1590/1679-78253663
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