한국안전학회지 (Journal of the Korean Society of Safety)

  • 제17권4호
  • /
  • Pages.189-195
  • /
  • 2002
  • /
  • 1738-3803(pISSN)
  • /
  • 2383-9953(eISSN)
한국안전학회 (The Korean Society of Safety)
권호 표지

미분구적법(DQM)을 이용한 곡선보의 외평면 좌굴해석

Out-of-Plane Buckling Analysis of Curved Beams Using DQM

  • 강기준 (호서대학교 기계설계공학과)
  • Kang, Ki-Jun (Department of Mechanical Design Engineering, Hoseo University)
  • 발행 : 2002.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

I-단면 곡선보 (curved beam)의 모멘트 하중 하에서 비틀림(warping)을 포함한 평면외 (out-of-plane)의 좌굴을 미분구적법 (DQM)을 이용하여 해석하였다. 다양한 경계조건(boundary conditions) 및 굽힘각(opening angles)에 따른 임계모멘트 (critical moments)를 계산하고, DQM의 해석결과는 해석적 해답 (exact solution) 과 비교 분석하였다. DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었고, 두 경계조건 (고정-고정, 고정-단순지지)하에서 새로운 결과 또한 제시하였다.

The differential quadrature method (DQM) is applied to computation of the eigenvalues of out-of-plane bucking of curved beams. Critical moments including the effect of radial stresses are calculated for a single-span wide-flange beam subjected to equal and opposite in-plane bending moments with various end conditions, and opening angles. Results are compared with existing exact solutions where available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used. New results are given for two sets of boundary conditions not previously considered for this problem: clamped-clamped and clamped-simply supported ends.

키워드

참고문헌

  1. Y. B. Yang and S. R. Kuo, 'Static Stability of Curved Thin-Walled Beams,' J. Struct. Engng, ASCE, Vol. 112, pp. 821-841, 1986
  2. M. Ojalvo, E. Demuts and F. Tokarz, 'Out-of-Plane Buckling of Curved Members,' J. Struct Dvi., ASCE, Vol. 95, pp. 2305-2316, 1969
  3. S. P. Timoshenko and J. M. Gere, Theoiy of Elastic Stability, 2nd edn, McGraw-Hill, New Yoik, 1961
  4. V. Z. Vlasov, Thin Walled Elastic Beams, 2nd edn, English Translation, National Science Foundation, Washington, D.C., 1961
  5. J. A. Cheney, 'Bending and Buckling of Ihin-Walled Open-Section Rings,' J. Engng Mech. Div., ASCE, Vol. 89, pp. 17-44, 1963
  6. J. P. Papangelis and N. S. Trahair, 'Flexural-Torsional Buclding of Arches,' J. Struct. Engng, ASCE, Vol. 113, pp. 889-906, 1987 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:4(889)
  7. N. S. Tiahair and J. P. Papangelis, 'Flexuml-Torsional Buckling of Monosymmetnc Arches,' J. Slnict. Engng, ASCE, Vol. 113, pp. 2271-2288, 1987 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:10(2271)
  8. J. Han and K. Kang, 'Buckling Analysis of Arches Using DQM,' J. KIIS., Vol. 12, pp. 220-229, 1997
  9. R. E. Bellman and J. Casd, 'Differential Quadrature and Long-Term Integration,' J. Math. Anal. Applic., Vol. 34, pp. 235-238, 1971 https://doi.org/10.1016/0022-247X(71)90110-7
  10. C. P. Tan and S. Shore, 'Dynamic Response of a Horizontally Curved Bridge.' J. Struct. Div. ASCE, Vol 94, pp. 761-781, 1968
  11. S. K. Chaudhuri and S. Shore, S, "DynamicAnalysis of Horizontally Curved I-Girder Bridges',' J. Struct. Div. ASCE, Vol 103, pp. 1589-1604, 1977
  12. S. K. Jang, C. W. Bert, and A. G. Striz, 'Application of DifFerential Quadmture to Static Analysis of Structural Components,' Int. J. Numer. Mech. Engng, Vol. 28, pp. 561-577, 1989 https://doi.org/10.1002/nme.1620280306
  13. K. Kang and J. Han, 'Analysis of a Curved beam Using Classical and Shear [)efonnab1e Beam Theories,' Int. J. KSME., Vol. 12, pp. 244-256, 1998 https://doi.org/10.1007/BF02947169
  14. K. Kang, 'Vibration Analysis of Curved Beams Using DifFerential QuadmtuK,' J. KOS., Vol. 14, pp. 199-207. 1999