KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Comparative Study on Static, Buckling and Free Vibration Analysis of Laminated Composite Plates using Various Serendipity Finite Elements

다양한 Serendipity 유한요소에 따른 복합적층판의 정적, 좌굴 및 자유진동해석 비교연구

Chun, Kyoung-Sik;Choi, Hoi-Kwon;Chang, Suk-Yoon
천경식;최회권;장석윤

  • Published : 2003.09.30

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Abstract

A formulation of an isoparametric quadrilateral eight-node serendipity elements are presented and employed in the static, buckling and free-vibration analysis of laminated composite plates including transverse shear deformations. The elements are based on inplane displacement models which incorporate first-order to higher-order terms in thickness coordinate for the consideration of transverse shear deformations. The eight-node 56-d.o.f (8QUAD56) and 72-d.o.f (8QUAD72) considered higher-order in-plane displacement models and the transverse deflection across plate thickness is assumed constant. While in the eight-node 88-d.o.f (8QUAD88) and 96-d.o.f (8QUAD96), the transverse deflection varies in the form of a second and third order power series expansion of thickness coordinate. In this paper, parameter studies are carried out for static, buckling and free vibration analysis by geometrical shape variations; such as change of side-to-thickness ratio and also by laminated composite; such as fiber orientation, stacking sequence, elasticity ratio. The results of the proposed quadrilateral higher-order plate elements are compared with the results of the first-order and higher-order theories in the literature.

등가매개변수 4변형 8절점 Serendipity 요소를 수식화하고, 횡방향 전단변형을 포함한 복합적층판의 정적, 좌굴 및 자유진동해석을 위해 적용하였다. 본 연구에서 제시한 요소는 두께방향좌표에 관하여 1차에서 고차항까지 포함한 면내변위를 고려하였다. 우선 한 요소당 56개의 자유도를 갖는 모델(8QUAD56)과 한 요소당 72개의 자유도를 갖는 모델(8QUAD72)은 면내변위에 대해서 고차항, 판의 두께에 대한 횡방향 변위는 일정한 상수를 갖는 것을 설정하였다. 반면에 한 요소당 88개의 자유도를 갖는 모델(8QUAD88)과 한 요소당 96개의 자유도를 갖는 모델(8QUAD96)은 횡방향 변위에 대해 두께방향좌표의 2차 또는 3차항까지 설정하였다. 본 논문에서는 폭-두께비 등의 기하학적 형상변화를 매개변수로 하여 해석을 수행하였으며, 적층형식 및 배열, 탄성계수비 등의 변화에 따른 정적 및 좌굴, 자유진동을 비교 분석하였다. 제안된 4변형 고차 판요소의 결과는 정해 및 기존 연구자료들과 비교하였다.

Keywords

References

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