Nonlinear Analysis of Orthotropic,Laminated Shells of Revolution by the Finite Element Method.

摘要

The nonlinear analysis of an orthotropic, laminated shell of revolution with transverse shear deformations is presented. The finite element method employing a curved shell element was the method used to perform the analysis. Each element has two nodes with four degrees of freedom at each node, viz., two translation, one bending rotation and one transverse shear rotation. The classical Kirchhoff-Love assumption for normals to the midsurface was relaxed in favor of the shear deformation mode. A curved shell element was developed that matches slopes and curvatures as well as displacements at the nodal circles. This significantly reduces the meridional bending moments present at element junctures as compared to the case in which straight line elements (conical frusta) are used to represent a shell of revolution having meridional curvatures. A computer program was written in Fortran IV to implement the theory. Several example problems, both linear and nonlinear, were solved and the results compared with solutions from the literature.