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변형에너지에 기반한 비정형 판부재의 좌굴강도 평가기법

Evaluation of Buckling Strength of Non-structured Plates by Using the Deformation Energy

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키워드

주제분류안전공학

초록

비정형 판 부재의 탄소성 좌굴 강도를 평가할 수 있는 새로운 지표를 제안하였다. 부재 경계면에 작용하는 하중 또는 경계면의 변화에 따른 외부일 또는 변형에너지를 부재의 평형 변형경로에 따라 계산하고, 이 에너지의 이차 변분량의 부호가 양에서 음으로 바뀌는 시점을 안정한계로 제안하였다. 판 부재의 단면력을 등분포 또는 선형으로 근사한 상태로 단면력을 사용하여 좌굴한계를 평가하는 현 기법과는 반대로단면력의 변화가 비선형적인 복잡한 경우에도 간단히 좌굴한계를 평가할 수 있다. 선형탄성 문제에 대해서는 본 기법의 결과와 전통적인 방법이 동일한 결과를 도출한다.

Abstract

A new index for the buckling strength of non-structured plates is proposed. The external work or the deformation energy caused by theexternal loads or the boundary displacement controled by a load parameter is calculated along an equilibrium path of the member under consideration. If the second variation of the energy with respect to the parameter loses its positiveness, it defined as the limit of the stability. In contrast to the currentmethod given in codes where the stability limit is evaluated by using only representative internal forces, the evaluation of the stability limit is alwaysconsistent even with the change of the distribution of the internal forces on the boundary. If the elasticity is concerned, the result from this proposedapproach becomes identical to that from the classical methods.

참고문헌 (15)

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