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Постійне посилання на розділhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/35393

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2011 - 20152

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Автор: search.filters.author.Awrejcewicz, JanКлючові слова: search.filters.subject.laminated shallow shells

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  • Ескіз
    Документ
    Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation
    (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2011) Awrejcewicz, Jan; Kurpa, Lidiya; Osetrov, Andrey
    The bending behavior of the laminated shallow shells under static loading has been studied using the R functions theory together with the spline-approximation. Formulation is based on the first order shear deformation theory. Due to usage of the R-functions theory the laminated shallow shells with complex shape and different types of the boundary conditions can be investigated. Application of the spline-approximation allows getting reliable and validated results for non concave domains and domains with holes. The proposed method is implemented in the appropriate software in framework of the mathematical package MAPLE. The analysis of influence of certain factors (curvature, packing of layers, geometrical parameters, boundary conditions) on a stress-strain state is carried out for shallow shells with cut-outs. The comparison of obtained results with those already known from literature and results obtained by using ANSYS are also presented.
  • Ескіз
    Документ
    Investigating geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness via the R-functions theory
    (Elsevier Inc., 2015) Awrejcewicz, Jan; Kurpa, Lidiya; Shmatko, T.
    A novel numerical/analytical approach to study geometrically nonlinear vibrations of shells with variable thickness of layers is proposed. It enables investigation of shallow shells with complex forms and different boundary conditions. The proposed method combines application of the R-functions theory, variational Ritz’s method, as well as hybrid Bubnov–Galerkin method and the fourth-order Runge–Kutta method. Mainly two approaches, classical and first-order shear deformation theories of shells are used. An original scheme of discretization regarding time reduces the initial problem to the solution of a sequence of linear problems including those related to linear vibrations with a special type of elasticity, as well as problems governed by non-linear system of ordinary differential equations. The proposed method is validated by the investigation of test problems for shallow shells with rectangular planform and applied to new vibration problems for shallow shells with complex planforms and variable thickness of layers.