A Study on the Ring Effects of Composite Laminated Conical Shells

복합적층 원뿔형 쉘의 링 보강효과 연구

  • Park, Weon-Tae (Department of Civil Engineering, Cheonan National Technical College) ;
  • Choi, Jae-Jin (Department of Civil Engineering, Cheonan National Technical College) ;
  • Son, Byung-Jik (Department of Civil Engineering, University of Seoul)
  • 박원태 (천안공업대학 토목과) ;
  • 최재진 (천안공업대학 토목과) ;
  • 손병직 (서울시립대학교 토목공학과)
  • Published : 2004.03.01


In this study, composite laminated conical shells with ring stiffeners are analyzed. A versatile 4-node shell element which is useful for the analysis of conical shell structures is used. An improved flat shell element is established by the combined use of the addition of non-conforming displacement modes and the substitute shear strain fields. The proposed element has six degrees of freedom per node and permits an easy connection to other types(beam element) of Optimum location and optimum section properties of ring stiffeners are obtained. It is shown that the thickness of conical shell is reduced about 20% by optimum ring stiffeners.


composite laminated;conical shells;ring stiffeners;improved flat shell element


  1. Jack R. Vinson, Tsu-wei Chou, 'Composite Materials and Their Use in Structures', Applied Science Publishers LTD, 1975
  2. A.E. Assan, 'Analysis of multiple stiffened barrel shell structures by strain based finite elements', Thin-Walled Structures 35, pp. 233-253, 1999 https://doi.org/10.1016/S0263-8231(99)00030-0
  3. D. L. Logan, 'A First Course in the Finite Element Method', 3rd
  4. Robert M. Jones, 'Mechanics of Composite Materials', McGraw-Hill, 1975
  5. E. Hinton, D. R. J. Owen, 'Finite Element Software for Plates and Shells', Pineridge Press Limited, 1984
  6. J. N. Reddy, 'Mechanics of Laminated Composite Plates', CRC press, 1997
  7. Son, B. J., 'Analysis of Anisotropic Circular Conical Shells', University of Seoul, Master's thesis, 2000
  8. A.A. El Damatty, E.G. Marroquin, M. El Attar, 'Behavior of stiffened liquid-filled conical tanks', Thin Walled Structures 39, pp. 353-273, 2001 https://doi.org/10.1016/S0263-8231(01)00005-2
  9. C. K. Choi and P. S. Lee, 'Defect free 4 node flat shell element: NMS 4F element', Structural Engineering and Mechanics, Vol. 8, pp. 207-231, 1999 https://doi.org/10.12989/sem.1999.8.2.207
  10. R. D. Cook, D. S. Malkus, M. E. Plesha, 'Concepts and Applications of Finite Element Analysis', John Wiley & Sons, 3rd Ed, 1989
  11. Werner Soedel, 'Vibrations of Shells and Plates', Marcel Dekker, Inc., 1981
  12. B. Gangadhara Prushy, S.K. Satsangi, 'Analysis of stiffened shell for ships and ocean structres'es by finite element method", Ocean Engineering 28, pp. 621-638, 2001 https://doi.org/10.1016/S0029-8018(00)00021-4
  13. LUSAS Theory Manuel (Ver 13.4), FEA Ltd., 2001
  14. Wilhelm Flugge, 'Stresses in Shells', Springer Verlag Berlin, 2nd Ed, 1973