University of Technology-IraqEngineering and Technology Journal1681-6900291120110828Geometrically Nonlinear Free Vibration Analysis of Cylindrical Shells Using high Order Shear Deformation Theory-A Finite Element Approach2156217432013ENNabil Hassan HadiKayser Aziz AmeenJournal Article20110801A nonlinear finite element model for geometrically large amplitude free
vibration analysis of laminated composite shallow cylindrical shell panel is presented using high order shear deformation theory (HSDT). The nonlinearity is introduced in the Green – Lagrange sense. The effects of different orthotropic ratios, thickness ratio, curvature ratio and boundary condition are study also frequency ratio (nonlinear
frequency to linear frequency) of cylindrical shell are determined as function of shell amplitude ratio.https://etj.uotechnology.edu.iq/article_32013_d9df87cc4e2fbc30e5d592acd43a2ae3.pdf