동력기계공학회지 (Journal of Power System Engineering)

  • 제15권6호
  • /
  • Pages.47-52
  • /
  • 2011
  • /
  • 2713-8429(pISSN)
  • /
  • 2713-8437(eISSN)
한국동력기계공학회 (The Korean Society for Power System Engineering)
권호 표지
DOI QR코드

DOI QR Code

혼합 정식화를 이용한 섬유 강화 적층보의 변형해석

Static Analysis of Continuous Fiber-Reinforced Laminated Beams Based on Hybrid-Mixed Formulation

  • 김진곤 (대구가톨릭대학교 기계자동차공학부) ;
  • 이재곤 (대구가톨릭대학교 기계자동차공학부)
  • 투고 : 2011.03.10
  • 심사 : 2011.08.26
  • 발행 : 2011.12.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, an accurate 2-noded hybrid-mixed element for continuous fiber-reinforced laminated beams is newly proposed. The present element including the effect of shear deformation is based on Hellinger-Reissner variational principle, and introduces additional consistent node less degrees for displacement field interpolation in order to enhance the numerical performance. The micromechanical and lamination theory are employed in the finite element description to consider the effects of the laminate stacking sequences, material orthotropy, and fiber volume fraction, etc. The element stiffness matrix can be explicitly derived through the stationary condition and static condensation using Mathematica program. Several numerical examples confirm the accuracy of the present hybrid-mixed element and also show in detail the effects of the continuous fiber volume fraction, stacking sequences and boundary condition on the bending behavior of laminated beams.

키워드

참고문헌

  1. Lee, S. H. et al., 2001, "Free Vibration Analysis of Multi-Delaminated Beams", Journal of the Computational Structural Engineering of Korea, Vol. 14, No. 4, pp. 469-479.
  2. Kim, C. W. et al., 2006, "Proposal of Equation on Changable Performance Stroke and Ratius of Curvature According to the CFRP Ply Orientation in PZTCA", Trans. of the KSME(A), Vol. 30, No. 3, pp. 318-327.
  3. Ashwell, D. G. et al., 1971, "Further Studies in the Application of Curved Finite Elements Applied to Arches", International Journal of Mechanical Science, Vol. 13, pp. 507-517. https://doi.org/10.1016/0020-7403(71)90038-5
  4. Noor, A. K. and Peters, J. M., 1981, "Mixed Models and Reduced/Selective Integration Displacement Models for Nonlinear Analysis of Curved Beams", Int. J. for Numerical Methods in Engineering, Vol. 17, pp. 615-631. https://doi.org/10.1002/nme.1620170409
  5. Levinson, M., 1981, "A New Rectangular Beam Theory", Journal of Sound and Vibration, Vol. 74, pp. 81-87. https://doi.org/10.1016/0022-460X(81)90493-4
  6. Kant, T. and Manjunath, B. S., 1989, "Refined Theories for Composite and Sandwich Beams with $\mathcal{C}^0$ Finite Elements", Computers and Structures, Vol. 33, pp. 755-764. https://doi.org/10.1016/0045-7949(89)90249-6
  7. Stolarski, H. and Belytschko, T., 1983, "Shear and Membrane Locking Curved $\mathcal{C}^0$ Elements ", Computer Methods in Applied Mechanics and Engineering, Vol. 41, pp. 279-296. https://doi.org/10.1016/0045-7825(83)90010-5
  8. Prathap, G. and Babu, C. R., 1986, "An Isoparametric Quadratic Thick Curved Beam Element", Int. J. for Numerical Methods in Engineering, Vol. 23, pp. 1583-1600. https://doi.org/10.1002/nme.1620230902
  9. Ryu, H. S. and Sin, H. C., 1996, "Curved Beam Elements Based on Strain Fields", Comm. in Numerical Methods in Engineering, Vol. 12, pp. 767-773. https://doi.org/10.1002/(SICI)1099-0887(199611)12:11<767::AID-CNM16>3.0.CO;2-K
  10. Saleeb, A. F. and Chang, T. Y., "On the Hybrid-Mixed Formulation $\mathcal{C}^0$ Curved Beam Elements", Computer Methods in Applied Mechanics and Engineering, Vol. 60, pp. 95-121. https://doi.org/10.1016/0045-7825(87)90131-9
  11. Kim, J. G., 2006, "In-Plane Flexural Vibration Analysis if Arches Using Three-Noded Hybrid-Mixed Element", Journal of KSPSE, Vol. 10, No. 4, pp. 83-89.
  12. Kim, J. G. and Lee, J. K., 2008, "Free-Vibration Analysis of Arches Based on the Hybrid-Mixed Formulation with Consistent Quadratic Stress Functions", Computers and Structures, Vol. 86, pp. 1672-1681. https://doi.org/10.1016/j.compstruc.2007.07.002
  13. Hopkins, D. A. and Chamis, C. C., 1988, "A Unique Set of Micromechanics Equations for High Temperature Metal Matrix Composite", Testing Technology of Metal Matrix Composites, ASTM STP 964, pp. 159-176.
  14. Reddy, J. N., 1996, "Mechanics of Laminated Composites Plates: Theory and Analysis", CRC Press.