Parametric Instability of Cylinderical Panels

주기적(週基的)인 압축하중을 받는 원통(円筒) Panel의 동적(動的) 불안정(不安定) 특성(特性)에 관한 연구

  • 박승진 (인천전문대학 토목과) ;
  • 미카미 타카시 (홋카이도대학 공학연구과)
  • Received : 2000.05.22
  • Published : 2000.12.27

Abstract

This paper presents a numerical analysis procedure and a characteristics for dynamic of cylindrical panels. The panels with simply-simply or simply-clamped edge supports are subjectes to circumferential compressive or flexural stresses. The differential equations governing vibration and dynamic for these panels are derived by using the fundamental differential equation of the Love-Timoshenko and are solved numerically by the Galerkin method. The panel with simply-clamped edge supports is used a trigonometric function or an eigen function of a beam as a trial function and the effects of trial functions on numerical solutions are displayed. Numerical results are presented to demonstrate the effects of the flexural parameters in natural frequencies and coefficients of critical buckling, and some typical mode shapes of vibration and buckling are also presented.

본 논문은 직선변이 단순지지, 원호변이 단순 또는 고정인 경계조건의 원통 Panel을 해석하였다. 해석방법은 Galerkin법을 사용하였고, 기초방정식은 Love-Timoshenko의 기초식을 이용한 진동 좌굴 및 동적문제에 관한 특성을 명확히 하였다. 특히, 고정지지를 포함한 Panel에 대해서는 시행함수로서 삼각함수만으로 나타나는 경우와 쌍곡선함수로 나타나는 보의 고유함수를 이용하여 해석하였으며 시행함수에 미치는 영향을 검토하였다.

Keywords

References

  1. J. Sound Vib. v.22 Vibration analysis of cylindrical panels Cheung, Y.K.;Cheung, M.S.
  2. Int. J. Num. Methods Eng. v.26 Application of Spline strip method to analysis vibration of open cylindrical shells Mizusawa, T.
  3. J of ST. Eng. v.35A Vibration characteristics of cylindrical panels under initial stress Takashi Mikami;Jin Yoshimura
  4. Proc. of ASCE v.94 no.EM6 Natural vibrations of cylindrical panels Tsui, U. W.
  5. Proc. of ASCE v.86 no.EM3 Vibration and stability of plates under initial stress Ilerrmann, G.;Armenkas, A. E.
  6. J. Sound Vib. v.85 Rayleigh-Ritz vibration analysis of rectangular mindlin plates subjected to membrane stresses Roufaeil, O. L.;DAwe, D. J.
  7. J. Sound Vib. v.81 Vibration of curved plate assemblics subjected to membrane stresses Dawe, D. J.;Moris, I. R.
  8. Proc. ASCE v.97 no.EM3 Dynamic stability of plates by finite elements J.M. Hutt;A.E. Salam
  9. J. App. Mech. Trans. ASME. Ser. E. v.40 Parametric resonace of skew stiffened plates R.G. Merrit;N. Willems
  10. Noconservative prolloems of the theory of slastic stability Bolotin, V.U.
  11. Compt. Struct. v.25 vibration analysis of flat shells by using B-spline functions Peng-Cheng, S.;Jian-Guo, W.
  12. Vibration of elastic structural members Magrab, E. B.
  13. J. of Eng Mech. Div. ASCE no.EM3 Dynamic stability of plates by finite elements Johnny, M. Hutt;Ahmed E. Salam
  14. J. of AIAA v.6 Finite element solution to dynamic stability of bars Brown, J. E.;Hutt, J. M.;Salama, A. E.
  15. J. of ASCE;Proc. v.92 no.EM2 Stability of plates using the finite element method Kapur, K.K.;Hartz, B.J.
  16. The Mechanics Cylindrical Shells Stefan Markus