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Static Analysis of Anisotropic Doubly-Curved Shell Subjected to Concentrated Loads Employing Higher Order layer-wise Theories

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Computer Modeling in Engineering & Sciences 2023年第2期134卷 1393-1468页

作者： Francesco Tornabene Matteo Viscoti Rossana Dimitri Department of Innovation Engineering School of EngineeringUniversity of SalentoLecce73100Italy

In the presentmanuscript,a layer-wise(LW)generalizedmodel is proposed for the linear static analysis of doublycurved shells constrained with general boundary conditions under the influence of concentrated and surface *** unknown field variable is modelled employing polynomials of various orders,each of them defined within each layer of the *** a particular case of the LW model,an Equivalent Single layer(ESL)formulation is derived *** approaches are outlined for the assessment of external forces,as well as for non-conventional *** doubly-curved shell is composed by superimposed generally anisotropic laminae,each of them characterized by an arbitrary *** fundamental governing equations are derived starting from an orthogonal set of principal ***,generalized blending functions account for the distortion of the physical *** implementation of the fundamental governing equations is performed bymeans of the Generalized Differential Quadrature(GDQ)method,whereas the numerical integrations are computed employing theGeneralized IntegralQuadrature(GIQ)*** the post-processing phase,an effective procedure is adopted for the reconstruction of stress and strain through-the-thickness distributions based on the exact fulfillment of three-dimensional equilibrium equations.A series of systematic investigations are performed in which the static response of structures with various curvatures and lamination schemes,calculated by the present methodology,have been successfully compared to those ones obtained fromrefined finite element three-dimensional *** though the present LW approach accounts for a two-dimensional assessment of the structural problem,it is capable of well predicting the three-dimensional response of structures with different characteristics,taking into account a reduced computational cost and pretending to be a valid alternative to widespread numerical implementations.

关键词： Concentrated load doubly-curved shells generalized differential quadrature laminated anisotropic materials layer-wise theory mapping technique

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