Akgun, GokceKurtaran, Hasan2025-01-062025-01-0620190263-82311879-322310.1016/j.tws.2019.03.0492-s2.0-85064250547https://doi.org/10.1016/j.tws.2019.03.049https://hdl.handle.net/20.500.14669/3084Current work concentrates on large displacement dynamic analysis of super-elliptic (SE) shells made of functionally graded materials (FGMs) employing generalized differential quadrature (GDQ) technique. SE shells can be in quasi-rectangular, elliptical or cylindrical shell forms according to the parameters in super-ellipse formulation. In this paper, large displacements are considered through Green-Lagrange nonlinear strain-displacement relationships derived for SE shells with full nonlinearity in transverse shear. Present solution is based on first-order shear deformation theory (FSDT). Virtual work principle and GDQ method are utilized to derive equation of motion and to express spatial derivatives existing in equation of motion, respectively. Newmark average acceleration method is employed in the solution of equation of motion. By solving various FGM super-elliptic (FGM-SE) shell problems, effects of FGM material properties (using different ceramic/metal pairs like Alumina/Steel (Al2O3/Steel), Zirconia/Aluminum (ZrO2/Al), Alumina/Aluminum (Al2O3/Al), Zirconia/Monel (ZrO2/Ni-Cu) and Silicon Nitride/Steel (Si3N4/Steel)), SE geometric characteristics (ellipticity and ovality) and boundary conditions on dynamic response are investigated.eninfo:eu-repo/semantics/closedAccessSuper-elliptic shellFunctionally gradedTransient analysisLarge displacementGeneralized differential quadratureArticle152Q1133141WOS:000476965800011Q1