This paper aims to investigate the simultaneous effects of initial stresses, porosities, geometrical imperfections, elastic foundations, and high temperatures on the nonlinear transient response of spherical and cylindrical shell panels made up of functionally graded material (FGM) and that have undergone suddenly applied uniform transverse loads. Initial thermomechanical stresses are caused by reactive forces produced at tangentially restrained edges or active axial compressive loads applied at movable curved edges of cylindrical panels. The pores are distributed in FGM via even and uneven distribution patterns. Due to the presence of pores, the effective properties of porous FGM are evaluated by employing a modified mixture rule. Mathematical derivations governing the dynamic behavior of shallow shell panels are performed on the basis of first-order shear deformation theory incorporating von Kármán–Donnell nonlinearity, initial geometric imperfection, and interactive pressure from two-parameter foundations. Analytical solutions are adopted to satisfy simply supported boundary conditions and the Galerkin method is utilized to obtain a time-variable ordinary differential equation of quadratic and cubic nonlinearities. This differential equation is solved using the fourth-order Runge–Kutta integration method to trace temporal response paths. Through parametric studies, numerous effects on the nonlinear temporal response and findings are analyzed and discussed.

    This paper obtained significant results on the linear vibration and nonlinear temporal behavior of initially stressed cylindrical and spherical shell panels made up of functionally graded material with porosity. Obtained results provide reasonable predictions for potential applications in numerous fields, especially in aerospace engineering. Because structural components such as fuselage and load-carrying parts are frequently exposed to initial stresses resulting from thermal, mechanical, and thermomechanical loadings, the obtained results are significant for the practical design of initially stressed components. In the present study, initial stresses resulted from active or passive manners through compressive loads at movable edges or reactive loads developed at restrained edges. These situations are commonly seen in practical structures. The obtained results give qualitative and quantitative explanations of the dependence of natural frequencies and amplitudes of dynamical deflections of porous cylindrical and spherical shell panels on the values of initial stresses, elevated temperatures, volume percentage of pores, and size of initial geometric imperfection. These insightful explanations are helpful for both material and structure designers.


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    Titel :

    Nonlinear Thermomechanical Transient Response of Initially Stressed FGM Shallow Shell Panels Including Porosity and Geometric Imperfection


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.09.2025




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch






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