Geometrically non-linear vibration and meshless discretization of the composite laminated shallow shells with complex shape

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dc.contributor.authorKurpa, Lidiyaen
dc.date.accessioned2018-07-26T10:31:29Z
dc.date.available2018-07-26T10:31:29Z
dc.date.issued2010
dc.description.abstractTo study the geometrically non-linear vibrations of the composite laminated shallow shells with complex plan form the approach, based on meshless discretization, is proposed. Non-linear equations of motion for shallow shells based on the first order shear deformation shell theories are considered. The discretization of the motion equations is carried out by method based on expansion of the unknown functions in series for which eigenvectors of the linear vibration obtained by RFM (R-functions method) are employed as basic functions. The factors of these series are functions (generalizing coordinates) depending on time. Due to applying the basic variational principle in mechanics by Ostrogradsky-Hamilton the corresponding system of the ordinary differential equations by Euler is obtained The non-linear ordinary differential equations are derived in terms of amplitudes of the vibration modes. The offered method is expounded for multi-modal approximation of unknown functions. Backbone curves of the spherical shallow shell with complex plan form are obtained using only the first vibration mode by the Bubnov-Galerkin method. The effects of lamination schemes on the behavior are discussed.en
dc.identifier.citationKurpa L. V. Geometrically non-linear vibration and meshless discretization of the composite laminated shallow shells with complex shape / L. V. Kurpa // Nonlinear Dynamics–2010 = Нелинейная динамика–2010 : proceedings the 3rd International Conference, dedicated to the 125th Anniversary of the National Technical University "Kharkov Polytechnic Institute", September 21-24, 2010 / National Technical University "Kharkov Polytechnic Institute" [et al.]. – Kharkov : NTU "KhPI", 2010. – P. 338-343.en
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/37137
dc.language.isoen
dc.publisherNTU "KhPI"en
dc.titleGeometrically non-linear vibration and meshless discretization of the composite laminated shallow shells with complex shapeen
dc.typeThesisen

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