Three-dimensional analytical solution of arbitrarily supported cylindrical panels with weak interfaces using the extended Kantorovich method

摘要

This is the first time, a three-dimensional (3D) analytical solution of arbitrarily supported cross-ply cylindrical panel with weak interfaces is developed using multi-term extended Kantorovich method (EKM). A generalized variational based mathematical model is developed by considering the Reissner-type mixed variational principle in conjunction with weak interface model. A linear spring layer model is implemented for depicting the behaviour of weak interfaces. Recently developed EKM is applied to obtain two sets of non-homogeneous ordinary differential equations (ODEs) along radial and circumferential directions, respectively. A suitable solution algorithm is developed for the present case. The accuracy of the presently developed solution is verified by comparing with 3D finite element model using ABAQUS. The multi-term EKM solution is efficient as just two terms yield the accurate results. Further, displacement and stress variations in a laminate at the edges are obtained and some new benchmark results are also presented for arbitrarily supported cylindrical panels with weak interfaces. Effect of the weak interface parameter and other characteristic parameters are investigated to reflect their design aspect. This development may help the researchers to develop analytical models for viscoelastic cases.