Journal of Korean Society of Steel Construction (한국강구조학회 논문집)

Korean Society of Steel Construction (한국강구조학회)
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Large Deformational Elasto-Plastic Analysis of Space Frames Considering Finite Rotations and Joint Connection Properties

유한회전과 접합부 특성을 고려한 공간프레임의 대변형 탄소성 해석

  • Received : 2009.01.13
  • Accepted : 2009.06.08
  • Published : 2009.12.27
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Abstract

In this paper, large-deformation elasto-plastic analysis of space frames that considersjoint connection properties is presented. This method is based on the large-deformation formula with finite rotation, which was developed initially for elastic systems, and is extended herein to include the elasto-plastic effect and the member joint connection properties of semi-rigid what?. The analytical method was derived from the Eulerian concept, which takes into consideration the effects of large joint translations and rotations. The localmember force-deformation relationships were obtained from the beam-column approach, and the change caused by the axial strain in the member chord lengths and flexural bowing were taken into account. The effect of the axial force of the member on bending and torsional stiffness, and on the plastic moment capacity, is included in the analysis. The material is assumed to be ideally elasto-plastic, and yielding is considered concentrated at the member ends in the form of plastic hinges. The semi-rigid properties of the member joint connection are considered based on the power or linear model. The arc length method is usedto trace the post-buckling range of the elastic and elasto-plastic problems with the semi-rigid connection. A sample non-linear buckling analysis was carried out with the proposed space frame formulations to demonstrate the potential of the developed method in terms of its accuracy and efficiency.

본 연구에서는 접합부 특성이 고려된 공간프레임의 대변형 탄소성해석법에 관한 내용을 기술한다. 이 해석법은 유한변형을 고려한 대변형 탄성해석법에 기초한 것으로 부재의 재료적 탄소성, 접합부 반강접 특성을 추가적으로 고려하였다. 절점의 유한변형은 오일러의 개념으로 부터 유도되었으며, 부재좌표계에서 계산된 부재변형은 보-기둥식에 대입하여 부재력을 계산하였다. 부재변형은 부재축변형과 휨에 의한 축변형효과를 함께 고려하여 계산하였으며, 부재축력의 휨강성, 비틀림강성에 대한 효과를 고려하여 항복함수를 계산하였다. 재료는 완전 탄소성으로 가정하였고, 항복은 부재 양단부에서 집중하여 발생하는 소성힌지의 개념을 사용하였다. 부재 접합부 반강접 특성은 지수모델이나 선형모델을 적용하였고, 접합부 특성이 고려된 탄소성 후좌굴해석을 수행하기 위해 호장법을 사용하였다. 본 연구내용의 정확성 및 효율성을 검증하기 위해 공간프레임에 대한 해석을 수행하였다.

Keywords

Acknowledgement

Supported by : 한국건설교통기술평가원

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