KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Novel Method for Numerical Analyses of Tapered Geometrical Non-linear Beam with Three Unknown Parameters

3개의 미지변수를 갖는 변단면 기하 비선형 보의 수치해석 방법

  • 이병구 (원광대학교 토목환경공학과) ;
  • 오상진 (전남도립 남도대학 토목환경과) ;
  • 이태은 (원광대학교)
  • Received : 2011.11.23
  • Accepted : 2012.11.21
  • Published : 2013.02.04
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Abstract

This paper deals with a novel method for numerical analyses of the tapered geometrical non-linear beam with three unknown parameters, subjected a floating point load. The beams with hinged-movable end constraint are chosen as the objective beam. Cross sections of the beam whose flexural rigidities are functionally varied with the axial coordinate. The first order simultaneous differential equations governing the elastica of such beam are derived on the basis of the Bernoulli-Euler beam theory. A novel numerical method for solving these equations is developed by using the iteration technique. The processes of the solution method are extensively discussed through a typical numerical example. For validating theories developed herein, laboratory scaled experiments are conducted.

이 연구는 3개의 미지변수를 갖는 변단면 기하 비선형 보의 수치해석 방법에 관한 연구이다. 3개의 미지변수를 갖는 보를 변화위치 집중하중이 작용하는 회전-이동지점 보로 선택하였다. 보의 변단면은 휨 강성이 부재축을 따라 함수적으로 변화하는 변단면으로 선택하였다. 이러한 보의 기하 비선형 거동을 지배하는 연립 1계 미분방정식들을 Bernoulli-Euler 보 이론으로 유도하였다. 이 미분방정식들을 반복법을 이용하여 미지변수들을 산정할 수 있는 수치해석 방법을 개발하였다. 전형적인 수치해석 예를 통하여 새로운 수치해석 방법의 과정을 분석하였다. 이 연구의 이론을 검증하기 위하여 실험실 규모의 실험을 실행하였다.

Keywords

References

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