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SUMMARY:A.V. Lopatin (Federal Research Center for Information and Computat
 ional Technologies\, Novosibirsk\, Russia)
DTSTART:20250220T110000Z
DTEND:20250220T120000Z
DTSTAMP:20260423T021320Z
UID:mmandim/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/88/"
 >Model and bending analysis of sandwich beam with composite facings and co
 mpressible orthotropic core using Abramov’s sweep method</a>\nby A.V. Lo
 patin (Federal Research Center for Information and Computational Technolog
 ies\, Novosibirsk\, Russia) as part of Mathematical models and integration
  methods\n\n\nAbstract\nModern sandwich structures are employed in a broad
  range of aerospace\, marine and civil structural applications. They are e
 fficient and lightweight constructions with high bending stiffness\, high 
 strength\, and high buckling resistance. Such modern sandwich structures a
 re combination of composite facings with a lightweight core layer. The fac
 ings carry the tensile and compressive loads\, while the core transmits sh
 ear loads and serves to hold the facings in positions\, which maximize the
  flexural stiffness of the structure. Therefore\, the general structural r
 esponse of a sandwich structure is an action\, consisting of couple\, comp
 ression or tension stress resultants in the facings and shear stresses alo
 ng with vertical normal stresses within the core. Note that\, in such stru
 ctures\, the facings may undergo different displacements due to the compre
 ssible core that may change its height. Proper reflection of this effect i
 n the strain-stress analysis would require the application of the advanced
  modeling and computational techniques and approaches.\n\nIn this study th
 e new computational model of sandwich beam is developed. The beam one-dime
 nsional model by virtue of its relative simplicity is useful for prelimina
 ry analyses of the more complicated two-dimensional sandwich structures. T
 he model for the facings was built based on the traditional hypotheses tha
 t allow a transverse shear deformation to be taken into account. The defor
 mation model created for the elastic orthotropic core is original. This mo
 del considers a non-linear character of variation of the transverse and ax
 ial displacements over the thickness of core. Governing system of differen
 tial equations\, describing join deformation of facings and core\, was der
 ived using static and kinematic contact conditions between these parts of 
 the structure. System of governing differential equations has 14th order. 
 Numerical analysis of the stress-strain state of the sandwich beam for var
 ious loading cases and boundary conditions has been performed. System of d
 ifferential equations\, together with the corresponding boundary condition
 s\, represented the boundary value problem that was solved using Abramov
 ’s sweep method. Finite element modeling of the sandwich beam was execut
 ed using the FEM software package MSC Nastran® and the results were compa
 red with the developed theory. The computational model of deformation of t
 he sandwich beam and method of its analysis developed in this study provid
 e an opportunity to investigate a strong oscillating behavior of the compo
 nents of stress-strain state of the structure under consideration. This al
 lows the results of analyses performed to be used for the verification of 
 solutions for similar problems found using numerical techniques\, includin
 g the finite element method.\n\nThis is joint work with A.E. Burov (Federa
 l Research Center for Information and Computational Technologies) and E.A.
  Lopatin (Steklov Mathematical Institute of the Russian Academy of Science
 s).\n
LOCATION:https://researchseminars.org/talk/mmandim/88/
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