Journal of the Society of Disaster Information (한국재난정보학회 논문집)

The Korean Society of Disaster Information (한국재난정보학회)
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Dynamic Characteristics of Revolution Shells

회전쉘의 동적 특성에 관한 연구

  • Park, Sung-Jin (Department of Urban & Environment Engineering, Incheon National University)
  • Received : 2014.01.14
  • Accepted : 2014.02.07
  • Published : 2014.03.31
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Abstract

This paper proposes a simple and effective method for determining the dynamic characteristics of revolution shells. This is a weighted residual method in which the collocation points are taken at the roots of orthogonal polynomial. In this paper the collocation method is employed to replace a partical differential eqations by a system of ordinary differential equations in time, and the resulting equations are solved by two different numerical methods of time integration : an implicit method and an explicit method. The proposed approach is formulated in some detail. The versatility and accuracy are illustrated through several numerical examples. The method appears to be relatively easy to set up and gives satisfactory results.

회전쉘의 정적문제 및 동적문제에 대해서 선점법에 의한 공간영역의 이산화에 대한 유효성을 비교 검토하였고, 정식화에 있어서 이산화 후의 연립방정식 및 시간에 관한 연립상미분방정식의 계수행렬에 대한 영향을 검토하였다. 수치해석법에는 동적특성의 문제를 간단하고 효과적인 방법을 위하여 선점법을 제안하였으며, 수치해석예로서 평균2승잔차법과의 비교검토로 고정도의 해석을 위한 정확성을 검증하였다.

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References

  1. Reismann, H. and Modige.J (1998) "Forced motion of cylindrical shell" Proc. of ASCE, Vol. 94, No. EM5, pp.1167-1182
  2. Budiansky, B. and P.P.Radkowski(1983) "Numerical Analysis of Unsymmetrical Bending of Shells of Revolution" AIAA J. Vol. 1, No. 8
  3. Johnson, D.E. and R. Grief(1988) "Dynamic Respnse of a Cylindrical Shell; Two Numerical Methods" AIAA J, Vol. 4, No.3, pp.486-494
  4. Smith, T, A.(1990) "Explicit High-Order Finite-Difference Anlysis of Rotationally Symmetric Sbells" AIAA J, Vol. 18, No. 3, pp. 309-317
  5. C. DeBoor and B. Swartz(1983) "Collocation at Gaussian points" SIAM J. Number. Anal. 10, pp.582-606
  6. Langhaar, H.L. et al.(1990) "Stability of Hyperboloidal Cooling Tower" Proc. of ASCE, Vol. 96, No. EM5, pp.753-779
  7. Stoneking, J. E. and A. P. Boresi(1995) "A Theory for Free Vibration of Orthotropic Shells of Revolution" Nucl, Engng and Des, Vol. 14, pp.271-285
  8. Langhaar, H.L. and S.C.Chu(1998) "piecewise Polynumials and the Partition Method for Ordinary Differential Equations" Development in Theoretical and Applied Mechanics, Vol. 8, Pergamon Press, pp. 553-564
  9. Sharma, S.K. and A.P. Boresi(2003) "Finite Element Weighted Residual Methods; Axisymmetric Shells" Proc. of ASCE, Vol. 104, No. EM4, pp. 895-909
  10. Novozhilov, V.V.(1979) "The Theory of Thin Shells" P. Noordhoff
  11. Finlayson, B.A.(1992) "The Method Weighted Residual and Variational Preinciples" Academic Press
  12. Prenter, P. M.(2007) "Splines and Varuational Methods" John Wiley & Son
  13. Abramowitz, M. and I.A. Stegun(Eds.)(1991) "Handbook of Mathematical functions" dover Publications
  14. Timoshenko, S.P. and S Woinowski-Krieger(1959) "Theory of Plates and Shells" 2nd ed., McGraw-Hill
  15. Greebaum, K. : Comments(1984) "Numerical Analysis of Unsymmetrical Bending of Shells of Revolution", AIAA J, Vol. 2, No. 3, pp. 590-591
  16. T. Hamanoto and Y. Tanaka(1999) "Dynamics of fixed offshore cylinderical shell structures" Trans. All 291, pp.129-141.
  17. Gopalacharyulu, S. and D.J. Johns(1993) "Cantilever Cylindrical Shells under Assumed Wind Pressures" Proc. of ASCE, Vol. 99, No. EM5, pp.943-956
  18. Klein, S. and R.J. Sylvester(1995) "The Linear Dynamic Analysis of shells of Revolution by the Matrix Displacement Method" Proceedings of the 1st Conference on Matrix Methods in Structural Mechanics, AFFDLTR-66-80, Wright Patterson AFB, Ohio, Oct, pp.299-328
  19. Chan, S.P. et al.(1982) "Transient Analysis of Forced Vibrations of Complex Structural-Mechanical Systems" J.R. Aeronaut. Soc., Vol. 66, pp.457-460
  20. Houbolt, J. C.(1990) "A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft" J. Aircraft, J. Aeronaut. Sci., Vol. 17, pp. 540-550
  21. Stricklin, J. A. et al.(1999) "Improvements o the Analysis of Shells of Revolution by the Matrix Displacement Method" AIAA J., Vol. 4, No.11, pp. 2069-2072