변위장에 곡률효과가 포함된 4절점 원통형 쉘요소의 형상함수

초록

Various types of shell elements have been developed, but most of the shell elements do not show good performance in analyzing severely curved structures. This is primarily due to the polynomial representation of the displacement field. The polynomials cannot accurately represent the coupling effect between membrane and bending action, which becomes important in severely curved structures. Developed in the present study is a four-node cylindrical shell element including the initial curvature effect in the displacement field. The displacement field on middle surface of shell is derived from the classical thin shell theory. In order to discretize a displacement and surface force on the middle surface of shell, shape functions are formulated from the product of the homogeneous solutions of governing differential equations of straight and curved beam, respectively. The element stiffness matrix and the force vector are formulated by using the shape func-tions. In order to verify the validity of the element, a series of examples were analyzed and compared with the results in literature. From the results, it was observed that the cylindrical shell element developed in this study has shown extremely good convergence and sufficient accuracy.

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