Abstract
The nonlinear analysis of laminated initially imperfect non-circular cylindrical shells is presented. The analytical model is based on Donnell's nonlinear kinematic relations. The equations are derived via the Hu-Washizu mixed formulation, and are expressed in terms of the transverse displacement and the Airy stress function. The curvature of the non-circular cross-section is expanded into a Fourier series, allowing for representation of arbitrary closed cross-sections. The solution procedure is based on expansion of the variables into truncated trigonometric series in the circumferential direction and a finite difference scheme in the longitudinal one. Errors introduced by the truncated series are minimized by the Galerkin procedure and the equations are linearized by the Newton-Raphson method. Solutions beyond the limit point are obtained by Riks' constant arc-length algorithm. Results of both isotropic and laminated, axially loaded oval and elliptic shells are presented. The non-circular configurations are found to be less imperfection sensitive than the circular ones, and for largely eccentric cross-sections the shells are insensitive to initial imperfections.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call