Recent Research State and Theory of Thin-walled Curved Structures

박벽 곡선보 구조의 최근 연구현황 및 이론

  • 김문영 (성균관대학교 건축ㆍ조경 및 토목공학부) ;
  • 김남일 (성균관대학교 건축ㆍ조경 토목공학연구소)
  • Published : 2004.03.01

Abstract

도시 교통의 혼잡을 개선하기 위하여 대도시에서는 고가도로의 건설이 필수적이며, 고가도로 노선 내에서는 교통흐름의 원활화를 위하여 교량 자체의 평면 형상을 도로선형과 일치시켜야 하므로 특히 곡선교의 건설은 필수적이다. 아치교(arch bridge)나 곡선교(horizontally curved bridge)는 교량건설에 있어서 널리 적용되는 구조이며 적절히 설계가 이루어진다면 미관이 뛰어나고 매우 경제적인 교량구조가 될 수 있다. 또한 건설 지점의 입지조건 등에 의해 곡선교의 건설이 불가피한 경우가 많기 때문에 이에 대한 정확한 해석은 매우 중요하다.(중략)

Keywords

References

  1. Theory of elastic stability(2nd Ed.) Timoshenko,S.P.;Gere,J.M.
  2. The buckling strength of metal structures Bleich,F.
  3. Thin-walled elastic beams(2nd Ed.) Vlasov,V.Z.
  4. Theory of beam-columns, Volume 2. Space behavior and design Chen,W.F.;Atsuta
  5. The buckling of compressive bars by torsion and flexure, Bulletine 27 Goodier,J.N.
  6. Journal of structural Division ASCE v.98 Stability of monsymmetric beams and cantilevers Anderson,J.M.;Trahair,N.S.
  7. International Journal of Mechnaical Science v.27 no.5 Instability of monosymmetric I-beam and cantilevers Robert,T.M.;Burt,C.A.
  8. Journal of Structural Engineering ASCE v.115 New set of buckling parameters for monosymmetric beam colums/tie-beams Wnag,C.M.;Kitipornchai,S.
  9. International Journal for Numerical Method in Engineering v.2 Finite element analysis of torsional and torsional-flexural stability problems Barsoum,R.S.;Gallagher,R.H.
  10. Computers and Structures v.15 Lateral buckling analysis of beam by the FEM Attard,M.M.
  11. Cemetn and concrete association Curved thin-walled girders. Translated from the German by Amerongen Dabrowski,R.
  12. Bending and torsional design in structural members Heins,C.P.
  13. Computer methods in applied mechanics and engineering v.14 On large displacement-small strain analyis of structures of rotational degrees of freedom Argyris,J.H.;Dunne,P.C.;Scharpf,D.W.
  14. Computer methods in applied mechanics and engineering v.20 On the geometrical stiffness of a beam in space-a consisten V.W. approach Argyris,J.H.;Hipert,O.;Malejannakis,G.A.;Scharpf,D.W.
  15. Journal of Structural engineering ASCE v.122 Stiffness matrix for geometric nonlinear analysis Yang,Y.B.;McGuire,W.
  16. Journal of Structural Engineerings ASCE v.117 Thin-walled space frames. I: large deformation analysis theory Chen,H.;Blandford,G.E.
  17. International Journal for Numberical method in Engineering v.33 Effective modelling of spatial buckling of beam assemblages accounting for warping constants and rotation-dependency of moments Saleeb,A.F.;Chang,T.Y.P.;Gendy,A.S.
  18. Journal of Engineering Mechanics ASCE v.122 Stability of shear deformable thin-walled space frames and circular arches Chang,S.P.;Kim,M.Y.;Kim,S.B.
  19. International Jouranl for Numerical Method in Engineering v.39 Spatial stability analysis of thin-walled space frames kim,M.Y.;Chang,S.P.;Kim,S.B.
  20. Journal of Engineering Mechanics ASCE v.127 Spatial post-buckling analysis of nonsymmetric thin-walled frames I: theoretical considerations based on semitangential property Kim,M.Y.;Chang,S.P.;Park,H.G.
  21. Journal of Engineering Mechanics ASCE v.113 Flexuraltorsional buckling of arches Papangelis,T.P.;Trahair,N.S.
  22. Journal of Engineering Mechanics ASCE v.113 Flexuraltorsonal buckling test on arches Papangelis,T.P.;Trahair,N.S.
  23. Journal of Engineering Mechanics ASCE v.112 Static stability of curved thin-walled beams Yang,Y.B.;Kuo,S.R.
  24. Journal of Structural Engineering ASCE v.113 Effect of curvature on stability of curved beams Yang,Y.B.;Kuo,S.R.
  25. Journal of Engineering Mechanics ASCE v.115 Curved beam element for nonlinear analysis Yang,Y.B.;Kuo,S.R.;Cherng,Y.D.
  26. Journal of Engineering Mechanics ASCE v.117 New theory on buckling of curved beams Kuo,S.R.;Yang,Y.B.
  27. Journal of Engineering Mechanics ASCE v.120 Thin-walled curved beams. II: Formulation of nonlinear equations Kang,Y.J.;Yoo,C.H.
  28. Journal of Engineering Mechanics ASCE v.120 Thin-walled curved beams. II: Analytical solution for buckling of arches Kang,Y.J.;Yoo,C.H.
  29. International Journal for numerical Method in Engineering v.31 Shear-flexible models for spatial bucking of thin-walled curved beams Saleeb,A.F.;Gendy,A.S.
  30. Computer methods in applied mechanics and engineering v.171 Two kinds of C°-type elements for buckling analysis of thin-walled curved beams Hu,N.;Hu,B.;Fukunaga,H.;Sekine,H.
  31. Journal of Engineering Mechancs ASCE v.126 Spatial stability of non-symmetric thin- walled curved beams I : analytical approach Kim,M.Y.;Min,B.C.;Suh,M.W.
  32. KSCE Journal of Civil Engineering v.7 An analytical formulation for stability analysis of non-symmetric shear-deformable curved beams Kim,M.Y.;Kim,N.I.;Min,B.C.
  33. Journal of Engineering Mechanics ASCE v.98 Free in-plane vibration of circular arches Veletsos,A.S.;Austin,W.J.;Lopes,C.A.;Wung, Shyr-jen
  34. Journal of Structural Division v.98 Lowest natural frequency of clamped parabolic arcs Wang,T.M.
  35. International Journal of Solids and Structures v.17 Effects of rotary inertia and shear on natural frequencies of continuous circular curved beams Wang,T.M.;Guilbert,M.P.
  36. Journal of Sound and Vibration v.114 Extensional vibrations of continuous circular curved beams with rotary inertia and shear deformation, I: free vibration Issa,M.S.;Wnag,T.M.Hsiao,B.T.
  37. Journal of Sound and Vibration v.136 Free vibrations of arches with variable curvature Lee,B.K.;Wilson,J.F.
  38. Journal of Sound and Vibration v.175 Exact natural frequencies of plane structures composed of slender elastic curvel members Gupta,A.K.;Howson,W.P.
  39. Journal of Sound and Vibration v.219 Natural frequencies of non-circular arches with rotatory inertia and shear deformation Oh,S.J.;Lee,B.K.;Lee,I.W.
  40. Computer and Structures v.78 Free vibration of arches using a curved beam element based on a coupled polynomial displacement field Raveendranath,P.;Singh,G.;Pradhan,B.
  41. Bulletin of the Japan Society of Mechanical Engineers v.23 In-plane vibration of a free-champed slender arc of varying cross-section Irie,T.;Yamada,G.;Takahashi,I.
  42. Bulletin of the Japan Society of mechanical Engineers v.25 In-plane vibration of curved bars with varying cross-section Suzuki,K.;Takahashi,S.
  43. Journal of Sound and Vibration v.207 Dynamic stiffness analysis for in-plane vibrations of arches with variable curvature Tseng,Y.P.;Huang,C.S.;Lin,C.J.
  44. International Journal of Mechanical Sciences v.40 An exact solution for in-plane vibrations of an arch having variable curvature and cross section Huang,C.S.;Tseng,Y.P.;Leissa,A.W.;Nieth,K.Y.
  45. Computers and Structures v.68 A simple cubic linear element for static and free vibration analysis of curved beams Krishnan,A.;Suresh,Y.J.
  46. Journal of Sound and Vibration v.183 Influence of centeline extensibility on the in-plane free vibrations of loaded circular arches Chidamparam,P.;leissa,A.W.
  47. Journal of Sound and Vibration v.258 Analytical and numerical study on spatial free vibration of nonsymmetric thin-walled curved beams Kim,M.Y.;Kim,N.I.;Min,B.C.
  48. Journal of Sound and Vibration v.228 Low-frequency model transition in the free in-plane vibration of curved beams Tarnopolskaya,T.;De Hoog,F.R.;Fletcher,N.H.
  49. Journal of SOund and Vibration v.196 Asymptotic analysis of the free in-plane vibrations of beam with arbitrarily varying curvature and cross-section Tarnopolskays,T.;De Hoog,F.R.;Fletcher,N.H.;Thwaites,S.
  50. Journal of the Acoustical Society of America v.94 An analytic model for the free in-plane vibration of beams of variable curvature and depth Charpie,J.P.;Burroughts,C.B.
  51. Physical Sciences and Engineering v.339 Vibration of an elastic strip with varing curvature, Philosophical Transactions of the Royal Society of London Scott,J.F.M.;Woodhouse,J.
  52. Computers and Structures v.68 A simple cubic linear element for static and free bibration analysis of curved beams Krishnan,A.;Suresh,J.J.
  53. International Journal of Mechanical Sciences v.40 An exact solution for in-plane vibrations of an arch having variable curvature and cross section Huang,C.S.;Tseng,Y.P.;Leissa,A.W.;Nieh,K.Y.
  54. Journal of Sound and Vibration v.207 Dynamic stiffness analysis for in-plane vibrations of arches with variable curvature Tseng,Y.P.;Huang,C.S.;Lin,C.J.
  55. Bulletion of the Japan Society of Mechanical Engineers v.25 In-plane vibration of curved bars with varying cross-section Suzuki,K.;Takahashi,S.
  56. Bulletion of the Japan Society of Mechanical Engineers v.23 In-plane vibration of a free-clamped slender arc of varying cross-section Irie,T.;Yamada,G.;Takahashi,I.
  57. Bulletion of the Japan Society of Mechanical engineers v.20 Vibrations of elloptic arc bar perpendicular to its plane Takahashi,S.;Suzuki,K.
  58. Bulletion of the Japan Society of Mechanical Engineers v.21 Vibrations of curved bars perpendicular to their planes Suzuki,K.;Aida,H.;Takahashi,S.
  59. Journal of Sound and Vibration v.68 Natural frequencies for out-of-plane vibrations of continuous curved beams Wang,T.M.;Neeleton,R.H.;Keita,B.
  60. Journal of Sound and Vibration v.157 Snyder,J.M.;Wilson,J.F. Free vibrations of contionuous horizontally curved beams
  61. Computers and Structures v.55 Exact natural frequencies for out-of-plane motion of plane structures composed of curved beam members Howson,W.P.;Jemah,A.K.;Zhou,J.Q.
  62. Journal of Engineering Mechanics v.125 Exact out-of-plane natural frequencies of curved Timoshenko beams Howson,W.P.;Jemah,A.K.
  63. Journal of Sound and Vibration v.237 Out-of-plane vibrations of shear deformable continuous horizontally curved thin-walled beams Piovan,M.T.;Cortinez,V.H.Rossi,R.E.
  64. Structural Engineering and Mechanics v.8 Out of plane vibrations of thin walled curved beams considering shear flexibility Cortinez,V.H.;Piovan,M.T.;Rossi,R.E.
  65. Journal of Sound Vibration Spatial free vibration of shear deformable circular curved beams with non-symmetric thin-walled sections Kim,N.I.;Kim,M.Y.
  66. Journal of Sound and Vibrations v.174 Vibration analysis of coupled extensional/flexural/torsional modes of curved beams with arbitrary thin-walled sections Gendy,A.S.;Saleeb,A.F.
  67. International Journal for Numerical Methods in Engineering v.21 The curved beam/deep arch/finite ring element revisited Prathap,G.
  68. Computer method in applied mechanics and engineering v.41 Shear and membrane locking in curved C° elemetns Stolarski,H.;Belytschko,T.
  69. Journal of applied mechanics v.49 Membrane locking and reduced integration for curved beam Stolarski,H.;Belytschko,T.
  70. International Journal for Numerical Methods in Engineering v.18 Reduced integration and the shear-flexible beam element prathap,G.;Bhashyam,G.
  71. International Journal for Numerical Methods in Engineering v.23 A linear thick curved beam element Ramesh Babu, C.;Prathap,G.
  72. International Journal for Numerical Methods in Engineering v.23 An isoparametric quadratic thick curved beam element Prathap,G.;Ramesh Babu, C.
  73. International Journal for Numerical Methods in Engineering v.37 Locking-free curved beam element based on curvature Lee,P.G.;Sin,H.C.
  74. Computers and Structures v.55 General curved beam elements based on the assumed strain fields Choi,J.K.;Lim,J.K.
  75. Communication in Numerical Method in Engineering v.9 Simple curved shear beam elements Choi,J.K.;Lim,J.K.
  76. Computers and Structures v.68 The exact thick arch finite element Litewka,P.;Rakowski,J.
  77. International Journal for Numerical Methods in Engineering v.41 An accurate two-node finite element for shear deformable curved beams Friedman,Z.;Kosmatka,J.B.
  78. Computational Mechanics v.30 New accurate two-noded shear-flexible curved beam elements Zhang,C.;Di,S.
  79. International Journal for Numerical Method in engineeringZ Exact static element stiffness matrices of non-symmetric thin-walled curved beams Kim,N.I.;Yun,H.T.;Kim,M.Y.