Computational Structural Engineering (전산구조공학)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
권호 표지

Free Vibrations and Buckling Loads of Tapered Beam-Columns of Circular Cross-Section with Constant Volume

일정체적 원형 변단면 보-기둥의 자유진동 및 좌굴하중

  • 이병구 (원광대학교 토목환경공학과)
  • Published : 1996.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

The differential equations governing both the free vibrations and buckling loads of tapered beam-columns of circular cross-section with constant volume are derived and solved numerically. The effects of axial load are included in the differential equations. The parabolic equation is chosen as the variable radius of circular cross-section for the tapered beam-column. In numerical examples, the clamped-clamped, clamped-hinged and hinged-hinged end constraints are considered. The variations of the frequency parameters and buckling load parameters with the non-dimensional system parameters are presented in figures and the configurations of strongest columns are obtained.

일정체적의 원형단면을 갖는 변단면 보-기둥의 자유진동 및 좌굴하중을 지배하는 미분방정식을 유도하고 이를 수치해석하였다. 미분방정식에는 축하중효과를 고려하였다. 원형단면의 반경변화는 포물선식을 채택하였고, 고정-고정, 고정-회전 및 회전-회전 보-기둥의 고유진동수 및 좌굴하중을 산출하였다. 수치해석의 결과로 무차원 고유진동수와 무차원 변수들 사이의 관계 및 무차원 좌굴하중과 단면비 사이의 관계를 그림에 나타내었고, 최강기둥의 단면비와 좌굴하중을 구하였다.

Keywords

References

  1. Elements of Structural Optimization Haftka R. T.;Gurdal Z.;Kamat M. P.
  2. Q. Appl. Math. v.23 On the Optimal Design of a Vibrating Beam Niordson F. I.
  3. Int. J. Solids Struct. v.9 Optimal Beam Frequencies by the Finite Element Displacement Method Kamat, M. P.;Simites, G. J
  4. Int. J. Num. Meth. Eng. v.9 Effect of Shear Deformations and Rotary Inertia on Optimum Beam Frequencies Kamat, M. P.;Simites, G. J.
  5. Archiv. Rat. Mech. and Anal. v.5 The Shape of the Strongest Column Keller, J. B.
  6. J. Appl. Mech. v.29 Strongest Columns and Isoperimetric Inequalities for Eigenvalues Tadjbakhsh, I.;Keller, J. B.
  7. Archiv. Rat. Mech. and Anal. The Tallest Column Keller, J. B.;Niordson, F. I.
  8. J. Appl. Mech. v.34 The Strongest Column-An Energy Approch Taylor, J. E.
  9. Experimental Mechanics v.11 Stability Experiments on the Strongest Columns and Circular Arches Wilson, J. F.;Holloway, D. M.;Biggers S. B.
  10. Int. J. Solids Struct. v.20 Optimal Structural Design under Multiple Eigenvalue Constraints Masur, E. F.
  11. Dynamics of Structures(2nd Edition) Clough, R. W.;Penzien, J.
  12. Proceedings of ICVE '94 Free Vibration and Buckling Loads of Beam-Columns on Elastic Foundations Lee, B. K.;Oh, S. J.
  13. Proceedings of SDVNC '95 Approximate Methods for Natural Frequencies and Bucking Loads of Beam-Columns with Intermediate Multiple Elastic Springs Lee, B. K.;Oh, S. J.;Mo, J. M.
  14. Theory of Elastic Stability Timoshenko, S. P.;Gere, J. M.