KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Zigzag Model of Laminated Composite Beams using Trigonometric Functions

삼각함수를 이용한 복합 적층보의 지그재그 모델

Chun, Kyoung-Sik;Hong, Dae-Ki;Chang, Suk-Yoon
천경식;홍대기;장석윤

  • Published : 2003.05.31

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Abstract

The higher-order shear deformation theory has been applied in the analysis of laminated composite structure. In this paper, the zigzag model of composite laminated beams using the trigonometric function is presented. The lateral displacement and strain is assumed to the sin-function which embodies approximately layer-wise behaviors based in existing data. The higher terms are ignored in the transverse deformation and also, the shear strain and stress is supposed in the cos-function. Applying this model to composite laminated beams, the governing equations are induced and the boundary condition is assumed the simple support. According to symmetric or antisymmetric, the model having the various lenth-to-thickness ratio and layer of number is analyzed. The result in this paper is compared with the existing results for the accuracy of the model.

복합재료 적층구조물의 해석에 있어서 고차전단변형 이론이 폭넓게 적용되어 왔다. 본 연구에서는 삼각함수를 이용한 복합 적층보의 지그재그 모델을 제시하고자 한다. 횡방향 변위와 변형률에서 고차항은 삼각함수로 가정하되, 기존 연구자료에 근거하여 근사적인 layerwise 거동을 나타낼 수 있는 sin 함수로 설정하였으며, 수직변위에서는 고차항은 고려하지 않는다. 또한 전단변형 변형률 및 응력은 cos 함수로 설정하였다. 제시된 지그재그모델을 적용한 복합 적층보의 지배방정식을 유도하였으며, 경계조건은 단순지지로 가정하였다. 대칭, 역대칭 적층에 따라 길이-두께비와 적층수를 변화시켜가며 해석을 수행하였으며, 모델의 정확성을 위해 기존 연구결과와 비교 분석하였다.

Keywords

References

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