Journal of KSNVE (소음진동)

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

Free Vibration Analysis of 4 Edges Clamped, Isotropic Square Plates with 2 Collinear Circular Holes

2개의 원형구멍이 있는 4변고정, 등방성 정사각형 판의 자유진동해석

  • Published : 1994.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

This work presents the experimental and finite element analysis results for the free vibration of 4 edges clamped, isotropic square plates with 2 collinear circular holes. Natural frequencies of finite element analysis are obtained for the complete square plate, the square plates with a central circular hole and the square plates with 2 collinear circulare holes. And natural frequencies are experimentally measured for the complete square plate, the square plate with a central circular hole(d = 150 mm) and the square plates with 2 collinear circular holes. Agreement between experimental and FEM results is excellent. Mode shapes in special case are presented. The conclusions of the study are as follows. There is little variation of nondimensional frequency parameters for the first six mode when the aspect ratio of circular hole is less than 1/6 in the isotropic square plates with 2 collinear circular holes. And the first nondimensional frequency parameter doesn't vary as the aspect ratio of circular hole increase.

Keywords

References

  1. Vibration of Plates Leissa,A.W.
  2. Proceedings of the Second Japan National Congress for Applied Mechanics Flexural Vibration of the Square Plates with a Centural Circualr Hole Kumai,T.
  3. Bulletin of JSME v.1 no.4 Vibration of Rectangular Plates with Circular Holes Takahashi,S.
  4. Journal of the Aeronautical Society of India v.13 no.3 Vibration of Plates of Irregular Shapes and Plates with Holes Joga Rao,C.V.;Pickett,G.
  5. International Journal of Solids and Structrures v.4 no.10 Vibration and Stability of Plates using Finite Elements Anderson,R.G.;Irons,B.M.;Zienkiewicz,O.C.
  6. International Journal of Solids and Structures v.11 no.7/8 Elasto Dynamic Analysis of Rectangular Plates with Circular Holes Hegarty,R.F.;Ariman,T.
  7. Journal of Sound and Vibration v.117 no.1 Higher Frequencies of Transverse Vibrations of Rectangular Plates Elastically Restrained Against Rotation at the Edges and with a Central Free Hole Laura,P.A.A.;Gutierrez,R.H.;Pombo,J.L.
  8. International Journal of Solids and Structures v.30 no.3 Treatments of Over-Restrained Boundaries for Doubly Connected Plates of Arbitrary Shape in Vibration Analysis Liew,K.M.
  9. 한양대학교 대학원 석사논문 유공판의 좌굴 이대희
  10. 대한기계학회논문집 v.9 no.3 유공판의 응력집중계수를 최소로 하는 Hole 형상의 최적화 임장근;김태완
  11. 대한조선학회지 v.24 no.3 유공 직사각형 보강판의 진동해석 김극천;한성용;정정훈
  12. 대학기계학회논문집 v.13 no.4 탄성지지를 받는 사각다공판의 하중분포 계수에 관한 연구 임정식;이영신
  13. Free Vibration Analysis of Rectangular Plates Gorman,D.J.
  14. Formulas for Natural Frequency and Mode Shape Blevins,R.D.
  15. Impact Strength of Materials Johnson,W.
  16. Formulas for Stress and Strain Roark,R.J.;Young,W.C.
  17. ANSYS Engineering Analysis System: Theoretical Manual Kohnke,P.C.
  18. Formulas for Natural Frequency and Mode Shape Blevins,R.D.
  19. Shock and Vibration Handbook Harris,C.M.;Crede,C.E.
  20. Sound and Vibration The Enigma of Dynamic Mass Dossing,O.
  21. Sound and Vibration Impulse Technique for Structural Frequency Response Testing Halvorson,W.G.;Brown,D.L.
  22. Ph.D. Thesis, Notre Dame University Dynamic Analysis of Cracked Cylindrical Shells and Plates with Holes Hegarty,R.F.
  23. Journal of Sound and Vibration v.31 no.3 The Free Vibration of Rectangular Plates Leissa,A.W.
  24. Journal of Applied Mechanics v.17 Vibration of Rectangular Plates by the Ritz Method Young,D.
  25. Journal of Sound and Vibration v.56 no.1 Analysis of Vibration of Clamped Square Plates by the Rayleigh-Ritz Method with Asymtotic Solutions from a Moditied Bolotin Method Vijayakumar,K.;Ramaiah,G.K.
  26. Transactions of JSME(C) v.57 no.544 Studies of Appropriate Finite Element Modeling for Vibration Analysis Sohn,K.;Okuma,M.;Okada,M.;Nagamatsu,A.
  27. Journal of the Aeronautical Science An Experimental Study of Natural Vibrations of Cantilevered Triangular Plates Gustafson,P.N.;Stokey,W.F.;Zorowski,C.F.
  28. Transactions of JSME(C) v.58 no.553 Free Vibration of Square Plate with Multiple Fixed-Points on Edges Kawakami,O.