Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

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

DOI QR Code

Free Vibrations of Circular Strip Foundations with Variable Breadth

변화폭 원호형 띠기초의 자유진동

  • 이병구 (원광대학교 토목환경도시공학부) ;
  • 허영 (수원대학교 토목공학과) ;
  • 이종국 (원광대학교 대학원 토목환경공학과)
  • Published : 2004.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper deals with the free vibration analysis of circular strip foundations with the variable breadth. Taking into account effects of both rotatory inertia and shear deformation, differential equations governing free vibrations of such foundations are derived. The Winkler foundation is chosen as the model of soil foundation. The breadth of strip foundation is assumed to be a linear function. The differential equations are solved numerically to calculate natural frequencies. In numerical examples, the strip foundations with the hinged-hinged, hinged-clamped. clamped-hinged and clamped-clamped end constraints are considered. The parametric studies are conducted and the lowest four frequency parameters are reported in figures as the non-dimensional forms.

Keywords

References

  1. Journal of Applied Mechanics v.20 Deflection of Circular Beams resting on an Elastic Foundation obtained by the Method Harmonic Analysis Voltera,E.
  2. Journal of Sound and Vibration v.51 Nutural Frequencies of Timoshenko Beams on Pastemak Foundation Wang,T.M.;Stephens,J.E. https://doi.org/10.1016/S0022-460X(77)80029-1
  3. Journal of Applied Mechanics v.47 The Dynamically Loaded Circular Beam on an Elastic Foundation Panayotounakos,D.E.;Teocaris,P.S. https://doi.org/10.1115/1.3153592
  4. Journal of Sound and Vibration v.127 Natural Frequencies of Continuous Curved Beams on Winkler-Type Foundation Issa,M.S. https://doi.org/10.1016/0022-460X(88)90304-5
  5. Journal of Sound and Vibration v.149 Free Vibration of a Beam Support on a Stepped Elastic Foundation Kukla,S. https://doi.org/10.1016/0022-460X(91)90635-W
  6. Computer & Structures v.47 Free Vibrations of Foundation Beams on Twoparameter Elastic Soil Franciosi,C.;Masi,A. https://doi.org/10.1016/0045-7949(93)90237-8
  7. 한국강구조학회논문집 v.6 no.3 전단층을 갖는 탄성지반 위에 놓은 보의 자유진동 해석 이병구
  8. Journal of Applied Mechanics v.19 Free Vibrations of Spepped Beams with Intermediate Elastic Foundation De Rosa, M. A.
  9. 박사학위논문, 원광대학교대학원 변화곡률을 갖는 수평곡선보의 자유진동에 관한 연구 모정만
  10. 한국소음진동공학회논문집 v.1 no.5 여러개의 스프링으로 탄성지지된 수평곡선보의 자유진동 이병구;진태기;최규문;이태은
  11. International Journal of Structural Stability and Dynamics v.2 no.1 Free Vibration of Shear Deformable Circular Curved Beams Resting on Elastic Foundations Lee,B.K.;Oh,S.J.;Park,K.K. https://doi.org/10.1142/S0219455402000440
  12. The Shock and Vibration Digest v.19 Recent Research on Vibrations of Arch-Type Structures Laura,P.A.A.;Maurizi,M.J.
  13. Domonocus Die Lehre von der Elastizitat und Festigkeit Winkler,E.
  14. International Journal of Solids and Structures v.37 no.6 Free Vibrations of Non-circular Arches with Non-uniform Cross-section Oh,S.J.;Lee,B.K.;Lee.I.W. https://doi.org/10.1016/S0020-7683(99)00194-8
  15. Journal of Sound and Vibration v.136 no.1 Free Vibrations of Arches with Variable Curvature Lee,B.K.;Wilson,J.F. https://doi.org/10.1016/0022-460X(90)90939-W