Computational Structural Engineering (전산구조공학)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
권호 표지

Free Vibration Analysis of Thermally Buckled Quasi-Isotropic Laminated Plates with Simply Supported Edges

열하중으로 좌굴된 단순 지지 준 등방성 적층판의 자유진동 해석

  • 신동구 (국방과학연구소 선임 연구원)
  • Published : 1994.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

The free vibrations of thermally buckled, simply supported, symmetrically laminated, rectangular, and quasi-isotropic plates are investigated. The nonlinear postbuckling analysis is performed by the finite element method based on the first order shear deformable plate theory with the use of von Karman type nonlinear strains and the Duhamel-Newman type constitutive law. The postbuckling solutions are used to obtain free vibration responses of buckled plates. Several numerical examples for quasi-isotropic laminated plates are considered. The effects of width-to-thickness ratios and aspect ratios on the free vibration characteristics of buckled plates are investigated.

등분포 열 하중으로 좌굴되고 단순 지지된 준 등방성 직사각형 복합재 평판의 자유진동 해석에 관한 연구를 수행하였다. Von Karman형 비선형 변형도 성분을 1차 전단변형 평판이론에 적용하여 유한요소법으로 후 좌굴 해를 구하였으며 Duhamel-Newman형 탄성이론이 아울러 적용되었다. 후 좌굴 해석으로부터 계산된 변위를 이용하여 좌굴된 평판의 강성을 재평가한 후, 고유치 문제인 자유진동 해석을 수행하였다. 준 등방성 [.+-.45/0/90]s 직사각형 평판의 폭 대 두께비 및 폭 대 길이비를 변화시켜 이들 설계변수가 평판의 자유진동 특성에 미치는 영향을 분석하였다.

Keywords

References

  1. Proc. 9th International Congress for Applied Mechanics v.7 On the Vibration of Thermally Buckled Bars and Plates R.L.Bisplinghoff;T.H.H.Pian
  2. AIAA J. v.11 Vibration of Thermally Stressed Plates with Various Boundary Conditions C.D.Bailey
  3. AIAA J. v.21 no.5 Buckled Plate Vibrations and Large Amplitude Vibrations Using Higher-Order Triangular Elements T.Y.Yang;A.D.Han
  4. J. Applied Mechanics v.59 Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates A.K.Noor;W.C.Burton
  5. Int. J. Solids Structures v.22 no.3 Nonlinear Free Vibration of Heated Orthotropic Rectangular Plates W.P.Chang;S.C.Jen
  6. Proc. AIAA/ASME/ASCE/ASH/ASC 31st Structures, Structural Dynamics and materials Conf., AIAA Paper no 91-1239 Finite Element Analysis of Thermal Post-Buckling and Vibrations of Thermally Buckled Composite Plates C.C.Gray;C.Mei
  7. Gordon and Breach Consequence of Environmentally Induced Dilatation in Solids, Recent Advances in Engineering Science J.C.Halpin;N.J.Pagano
  8. Proc. AIAA/ASME/ASCE/ASH/ASC 33rd Structures, Structural Dynamics and Materials Conf., AIAA paper no 93-1337 Thermomechanical Postbuckling Analysis of Laminated Composite Shells R.C.Averill;J.N.Reddy
  9. Structural Analysis of Laminated Anisotropic Plates J.M.Whitney
  10. Finite Element Procedures in Engineering Analysis K.J.Bathe
  11. IMSL IMSL MATH / LIBRARY-User's Manual