Free vibration analysis of orthotropic and laminated composite circular cylindrical shells

직교이방성 복합재료 원통셀의 자유진동 해석

A general analytical procedure is developed for evaluating the free vibration characteristics of orthotropic and laminated composite circular cylindrical shells. The solution is obtained through a direct solution procedure with axial mode displacements presented as simple Fourier series expressions. On the basis of the various thin shell theories most commonly used, the frequency equation is derived and is expressed in a unified form. The present analysis can deal with shells which are made of an arbitrary number of bonded layers each with a different thickness and different elastic orthotropic properties, and have classical boundary conditions of any kind. Several examples are shown with the consideration of the effects of fiber orientations and boundary conditions as well as different shell geometries and material properties. To verify the validity and accuracy of this analysis, the results are compared with the experimental and analytical results of other workers. Agreement among the various results is found to be fairly good.

본 연구에서는 직교이방성 복합재료 원통셀의 진동 방정식을 Sanders, Love 및 Donnell의 셸이론에 기초하여 유도하고 이를 통일된 형태로 표현하였으며 등방성 원통셸에 대한 Chung의 해석법을 채용하여 임의의 경계조건을 갖는 직교이벙성 복합 재료 원통셸에 대해서 간편히 이용할 수 있는 유용한 해석방법을 제시하였다.