The Study on Axisymmetric Deformation of Thin Orthotropic Composite Pressure Vessel

직교이방성 복합재료로 만든 두께가 얇은 압력용기의 변형에 관한 연구

  • 김형원 (국방과학연구소, 기술연구본부 4부 1팀) ;
  • 최용규 (국방과학연구소, 기술연구본부 4부 1팀)
  • Published : 2003.06.01

Abstract

The analytic solution of radial displacements of thin cylindrical pressure vessel with carbon fiber T700/Epoxy orthotropic composites was obtained using equilibrium equations of the orthogonal curvilinear coordinate system. The governing equations with the simplified strain versus displacement relation of 3-dimensional curvilinear coordinate system were derived from the variational principle and the virtual work principle. Some theoretical analyses were presented and compared with the results of hydraulic tests for the pressure vessels with some various thicknesses. The results of the theoretical analysis and the hydraulic test were reasonably matched.

탄소섬유 T700/Epoxy로 만든 직교이방성 구조로 된 두께가 얇은 압력용기의 반경방향의 변위에 관한 해를 곡선좌표계의 평형방정식을 사용하여 구하였다. 3차원 곡선좌표계의 변형율과 변위의 관계를 간단히 하면서 지배방정식을 유도하기 위해 변분이론과 가상일의 원리를 사용하였다. 다른 여러 종류의 직교이방성 압력용기에 대한 계산 결과를 제시했으며 수압시험을 한 결과와 비교 검토하였다. 계산결과와 시험결과는 비교적 잘 일치하였다.

Keywords

References

  1. J. L. Sanders, Jr, 'An improved first approximation theory for thin shells', NASA Tech. Rept. R-24 (1959)
  2. G. Dupuis, 'Application of Ritz's method to thin elastic shell analysis', Trans. ASME, J. applied Mechanics. 38, 987-996
  3. Vinson, J. R. and T. W. Chou. 'Composite materials and their use in structures', Applied Science Publishers, London (1975)
  4. Wilkins, D. J. and T. S. Love. 'Combined Compression-Torsional Bucking Tests of Laminated Composite Cylindrical Shells', AIAA Journal of Aircraft, v. 12. No. 11 1975
  5. Waltz, T. and J.R. Vinson, 'Interlaminar Stresses in Laminated Cylindrical Shells of Composite Materials', AIAA Journal v. 14, No 9 (September 1976) : 1213-1218 https://doi.org/10.2514/3.61455
  6. Ecord, G.M. 'Composite Pressure Vessels for the Space Shuttle Orbiter', Composites in Pressure Vessels and Pipings, ASME-PVP-BB-021 (1977): 129-140
  7. C. W. Bert, M. Kumar, 'Vibration of Cylindrical Shells of Bimodulus Composite Materials', Journal of Sound and Vibration, vol. 81, No. 1, 1982, pp. 107-121 https://doi.org/10.1016/0022-460X(82)90180-8
  8. Reaz A. Chaudhuri 'A degenerate triangular shell element with constant cross-sectional warping', Computers of Structures Vol 28. No 3 pp 315-325 1988 https://doi.org/10.1016/0045-7949(88)90071-5
  9. Y. C. Fung, 'Foundations of Solid Mechanics', Prentice-Hall, Englewood Cliffs, NJ (1965)