Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Free Vibrations of Horizontally Curved Beams Resting on Winkler-Type Foundations

Winkler형 지반위에 놓인 수평 곡선보의 자유진동

  • 오상진 (원광대학교 공업기술개발연구소 연구원) ;
  • 이병구 (원광대학교 토목환경공학과) ;
  • 이인원 (한국과학기술원 토목공학과)
  • Published : 1998.06.01
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Abstract

The purpose of this paper is to investigate the free vibrations of horizontally curved beams resting on Winkler-type foundations. Based on the classical Bernoulli-Euler beam theory, the governing differential equations for circular curved beams are derived and solved numerically. Hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered in numerical examples. The free vibration frequencies calculated using the present analysis have been compared with the finite element's results computed by the software ADINA. Numerical results are presented to show the effects on the natural frequencies of curved beams of the horizontal rise to span length ratio, the foundation parameter, and the width ratio of contact area between the beam and foundation.

Keywords

References

  1. Earthquake Engineering and Structural Dynamics v.11 Vibration of Beams on Non-Homogeneous Elastic Foundations Pavlivic, M.V.;Wylie, G.B.
  2. Journal of Engineering Mechanics v.113 Free Vibration of Partially Suppored Piles Valsangkar, A.J.;Pradhanang, R.B.
  3. Earthquake Engineering and Structural Dynamics v.15 Exact dynamic Member Stiffnesses for a Beam on an Elastic Foundation Williams. F.W.;Kennedy, D.
  4. Journal of Sound and Vibration v.149 Free Vibration of a Beam Sopport on a Steeped Elastic Foundation Kukla, S.
  5. 한국강구조학회 논문집 v.6 no.3 전단층을 갖는 탄성지반위에 놓인 보의 자유진동 해석 이병구
  6. Compurters & Structures v.61 Vibration Analysis of Timoshenko Beam-Columns on Two-Parameter Elastic Foundations Yokoyama, T.
  7. Journal of Sound and Vibration v.118 Free Virations of a Solid Cirular Plate Free at its Edge and Attached to a Winkler Foundation Salari, M.;Bert, C.W.;Striz, A.G.
  8. Journal of Sound and Vibration v.138 Vibration and Buckling of Anisotropic Plate Assemblies With Winkler Foundation Kennedy, D.;Williams, F.W.
  9. Journal of Sound Vibration v.147 Buckling and Virations of Polar Orthotropic Circular Plates of Lineariy Varying Thickness Resting on an Elastic Foundation Gupta, U.S.;Lal, R.;Jain. S.K.
  10. Journal of Sound Vibration v.144 Free Vibrations of a Solid Circular Plate of Linearly Varying Thickness and Attached to a Winkler Foundation Laura, P.A.A;Gutierrez, R.H.;carnicer, R.Sanzi, H.C.
  11. Journal of Applied Mechanics v.19 Bending of Cignicar Beam Resting on an Elastic Foundation Volterra, E.
  12. Journal of Applied Mechanics v.20 Deflection of Circular Beams Resting on an Elastic Foundation obtained by the Method of Harmonic Analysis Volterra, E.
  13. Advanced Strength of Materials Volterra, E.;Gains, J.H.
  14. Journal of Engineering Mechhanics Division v.105 Circular Beam on Elastic Foundation Panayotounakos, D.E.;Theocaris, P.S.
  15. The shock and Vibration igest v.19 Recent Research on Vibrations of Arch Type Structures Laura, P.A.A.;Maurizi. M.J.
  16. Journal of Applied Mechanics v.47 The Dynamically Loaded Circular Beam on an Elastic Foundation Panayotounakos, D.E.;Theocaris, P.S.
  17. Journal of Sound and Viration v.127 Natural Frequencies of Continuous Curved Beams on Winkler-Type Foundation Issa, M.S.
  18. Elastic Anaysis of Soil-Foundation Interaction Selvadurai, A.P.S.
  19. 한국소음진동 공학회 논문집 v.3 no.4 불연속 변화단면 아치의 자유진동 해석 이병구;오상진;모정만;김헌상
  20. Journal of Sound Viteration v.68 Natural Frequencies for Out-of-Plane Viberations of Continuous Curved Beams Wang, T.M.;Nettleton, R.H.;Keita, B.
  21. Numerical Methods Mathews, J.H.