탄성지반으로 부분 지지된 곡선보의 자유진동

Free Vibrations of Curved Beams Partially Supported on Elastic Foundation

  • 발행 : 2001.09.01

초록

This paper deals with the free vibrations of horizontally curved beams partially supported on elastic foundations. Taking account of the effects of rotatory inertia and shear deformation, differential equations governing the free vibrations of such beams are derived, in which the Pasternak foundation model is considered as the elastic foundation. Differential equations are numerically solved to calculate natural frequencies and mode shapes. The experiments were performed in which the free vibration frequencies of such curved beams in laboratorial scale were measured and these results agreed quite well with the present studies. In numerical examples, the circular, parabolic, sinusoidal and elliptic curved members are considered. The parametric studies are performed and the lowest four frequency parameters are reported in tables and figures as the non-dimensional forms. Also the typical mode shapes are presented.

키워드

참고문헌

  1. Journal of Applied Mechanics,ASME v.20 Deflection of Circular Beams restng on an Elastic Foundation obtained by The Method Harmonic Analysis Voltera,E.
  2. Journal of Sound and Vibration v.51 Natural Frequencies of Timoshenko Beams on Pasternak Foundation Wang,T.M.;Stephens,J.E.
  3. Journal of Applied Mechanics,ASME v.47 The Dynamically Loaded Circular Beam on an Elastic Foundation Panayotounakos,D.E.;Teocaris,P.S.
  4. Journal of Sound and Vibration v.127 Natural Frequencies of continuous Curved Beams on Winkler-Type Foundation Issa,M.S.
  5. Journal of Sound and Vibration v.149 Free Vibration of a Beam Support on a Stepped Elastic Foundation Kukla,S.
  6. Computer & Structures v.47 Free Vibration of Foundation Beams on Two-Parameter Elastic Soil Franciosi,C.;Masi,A.
  7. 한국강구조학회 논문집 v.6 no.3 전단층을 갖는 탄성지반 위에 놓인 보의 자유진동 해석 이병구
  8. Journal of Applied Mechanics,ASME v.19 Free Vibrations of Stepped Beams with Intermedeate Elastic Foundation De Rosa, M.A.
  9. 한국전산구조공학회 논문집 v.11 no.2 탄성지반 위에 놓인 곡선형 Timoshenko 보의 자유진동 이병구;오상진;이재만
  10. The Shock and Vibration Digest v.19 Recent Research on Vibrations of Arch-Type Structures Laura,P.A.A.;Maurizi,M.J.
  11. Die Lehre von der Elastizitatund Festigkeit Winkler,E.
  12. Elastic Analysis of Soil-Foundation Interaction Selvaduari,A.P.S.
  13. International Journal of Pressure Vessels and Piping v.69 no.1 Free Vibrations of Circula Cylindrical Shell on Winkler and Pasternak Foundations Paliwal,D.N.;Pandey,R.K.;Nath,T.
  14. Computer & Structures v.67 no.4 Free Vibration Analysis of Orthotropic Plates Resting on Pasternak Foundation by Mixed Finite Element Formulation Omurtag,M.H.;Kadioglu,F.
  15. 원광대학교 대학원 박사학위논문 변화곡률을 갖는 수평 곡선보의 자유진동에 관한 연구 모정만
  16. International Journal of Solids and Structures v.37 no.6 Free Vebrations of Non-Circular Arches with Non-Uniform Cross-Section Sang Jin Oh;Byoung Koo Lee;In Won Lee