KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Static and Dynamic Stability Analyses of Simple Tapered Columns with Constant Volume

일정체적 단순지지 변단면 기둥의 정·동적 안정해석

  • 이병구 (원광대학교 공학부 토목환경도시공학전공) ;
  • 김석기 (단국대학교 공학부 토목환경공학전공)
  • Received : 2006.01.09
  • Accepted : 2006.03.04
  • Published : 2006.05.31
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Abstract

This study deals with the static and dynamic stability analyses of simple tapered columns with constant volume. The crosssections of column taper are the regular polygons whose depths are varied with the parabolic functional fashion. The hingedhinged end constraint is chosen as the boundary condition of the column. The non-dimensional ordinary differential equation governing free vibrations of such column subjected to an axial load is derived and solved numerically. From numerical results, the relationships between natural frequencies and section ratios are obtained, from which the configurations of dynamic optimal shapes of columns and the strongest columns are extracted.

이 논문은 단순지지된 변단면 기둥의 정적, 동적 안정해석에 관한 연구이다. 이 연구에서 기둥의 체적과 지간길이는 일정하다. 기둥의 단면은 정다각형 단면이고 단면깊이의 변화는 포물선형으로 채택하였다. 압축하중을 받는 이러한 기둥의 자유 진동을 지배하는 미분방정식과 경계조건을 무차원으로 유도하였다. 이 미분방정식을 수치해석하여 고유진동수와 진동형 및 좌굴하중을 산정하였다. 단면비와 고유진동수 및 좌굴하중의 관계를 분석하여 동적 최적단면비, 최적 고유진동수 및 최강기둥의 단면비 및 좌굴하중을 얻었다.

Keywords

References

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