Nonlinear transient dynamic analysis of laminated composite parabolic panels of revolution with variable thickness resting on elastic foundation

Large Displacement Static Analysis of Composite Elliptic Panels of Revolution having Variable Thickness and Resting on Winkler-Pasternak Elastic Foundation

“…An elliptic shells of revolution can be defined with a curvilinear coordinate system ϕθz as shown in Figure 2. Green-Lagrange nonlinear strain-displacement relations without any simplification for shells of revolution structures were derived using theory of surfaces in the recent article by Kalbaran and Kurtaran (2019). These relationships for EPRS can be represented as below…”

“…Detailed derivation of Green-Lagrange nonlinear strain-displacement relations are given in the recent article by Kalbaran and Kurtaran (2019). In this study, FSDT is used in EPRS formulations.…”

“…Gauss-Lobatto quadrature rule can locate grid points at boundaries which allow the application of the boundary conditions easily. Detailed derivations of the GDQ method and geometric mapping transformation for the shells of revolution structures are given in the recent article of (Kalbaran and Kurtaran (2019)). After discretization process of EPRS domain, equilibrium equation as seen in Equation ( 21) can be expressed in matrix form as below ψ ψ θ θ θ θ φ φ φ…”