Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지

Free Vibration Analysis of Circular Cylindrical Shell Structures with Elastic Supports by the Transfer Influence Coefficient Method

전달영향계수법에 의한 탄성지지를 갖는 원통형 셀구조물의 자유진동해석

  • 문덕홍 (부산수산대학교, 기관공학과) ;
  • 여동준 (여수수산대학교 기관공학과)
  • Published : 1994.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper desfcribes the formulation for the analysis of the free vibration of a circular cylindrical shell with elastic supports by the transfer influence coefficient method. This method was developed on the base of the concept of the successive transmission of dynamic influence coefficients. The analysis algorithm for circular cylindrical shell elastically restrained by springs, which plays an important role in many industrial fields, is discussed. The supporting springs have the axial, circumferential, radial and rotational spring constants uniformly distributed along the circumference of the shell. The simple computational results on a personal computer demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed analysis method and the flexibility for programming, compared with results of the transfer matrixmethod and reference. We also confirmed that the present algorithm could obtain the solutions of high accuracy for system with a number of intermediate rigid supports. And we could easily treat the intermediate support and all boundary conditions by adequately varying the values of spring constants.

Keywords

References

  1. Acustica v.38 no.4 Flexural Vibrations of Finite Cylindrical Shells of Various Wall Thickness-Ⅰ Chandra,J.;Kumar,R.
  2. Acustica v.46 no.3 Flexural Vibrations of Finite Cylindrical Shells of Various Wall Thickness-Ⅱ Chandra,J.;Kumar,R.
  3. Journal of Sound and Vibration v.74 no.3 Free Vibration Analysis of Circular Cylindrical Shells Chung,H.
  4. Journal of Sound and Vibration v.29 no.2 Some New Results for the Vibrations of Circular Cylinders Dym,C.L.
  5. AIAA Journal v.12 no.12 Mode Shapes and Frequencies of Clamped-Clamped Cylindrical Shells Goldman,R.L.
  6. AIAA Journal v.13 no.9 Vibrations of Constrained Cylindrical Shells Grief,R.;Chung,H.
  7. Journal of Sound and Vibration v.35 no.1 Calculation of Natural Frequencies of Fixed-Free Circular Cylindrical Shells Sharma,C.B.
  8. Journal of Sound and Vibration v.55 no.3 Simple Liner Formulas for Critical Frequencies for Cantilever Circular Cylindrical Shells Sharma,C.B.
  9. Journal of Sound and Vibration v.63 no.4 Vibration Characteristics of Thin Circular Cylinders Sharma,C.B.
  10. Journal of Sound and Vibration v.62 no.2 Free Vibration of Circular Cylinders of Variable Thickness Tonin,k R.F.;Bies,D.A.
  11. Journal of Sound and Vibration v.70 no.3 A New Frequency Formula for Closed Circular Cylindrical Shells for a Large Variety of Boundary Conditions Soedel,W.
  12. Int. J. Mech. Sci. v.14 no.5 Analysis of the Free Vibration of Cantilever Cylindrical Thin Elastic Shells by the Matrix Progression Method Tottenham,H.;Shimizu,K.
  13. Journal of Sound and Vibration v.42 no.3 Natural Frequencies of Free Finite-Length Circular Cylinders Gladwell,G.M.L.;Vijay,D.K.
  14. Journal of Sound and Vibration v.48 no.1 Free Vibration of Circular Cylindrical Shells Ramamurti,V.;Pattabiraman,J.
  15. Journal of Sound and Vibration v.95 no.2 Free Vibration of Circular Cylindrical Double-Shell System Interconnected by Several Springs Irie,T.;Yamada,G.;Tanaka,T.
  16. Journal of Applied Mechanics v.50 no.3 Free Vibration of a Circular Cylindrical Shell Elastically Restrained by Axially Sapced Springs Irie,T.;Yamada,G.;Muramoto,Y.
  17. Matrix Method in Elastomechanics Pestel,E.C.;Leckie,F.A.
  18. Theoretical and Applied Mechanics v.37 Free Vibration Analysis of a Distributed Flexural Vibrational System by the Transfer Influence Coefficient Method Kondou,T.;Sueoka,A.;Moon,D.H.;Tamura,H.;Kawamura,T.
  19. 大韓機械學會 論文集 v.15 no.5 傳達影響係數法에 의한 원판구조물의 自由振動解析 文 德弘;未岡淳男;近藤孝廣;呂 東俊
  20. 大韓機械學會 論文集 v.17 no.3 傳達影響係數法에 의한 사각판구조물의 自由振動解析 文 德弘;呂 東俊
  21. Thin Elastic Shells Kraus,H.