СВОБОДНЫЕ КОЛЕБАНИЯ ТРЕХСЛОЙНОЙ ПОЛОГОЙ ОБОЛОЧКИ, ПОДКРЕПЛЕННОЙ ПОПЕРЕЧНЫМИ РЕБРАМИ ЖЕСТКОСТИ
Journal Title: World Science - Year 2018, Vol 1, Issue 5
Abstract
The paper deals with the construction of a computational model and the development of an algorithm for investigating free oscillations of a three-layered shallow shell with a lightweight core supported by regular transverse stiffeners. The variational equation of transverse oscillations of a three-layer shell of a symmetrical structure reinforced by ribs is obtained, taking into account the action of longitudinal forces in the median planes of the outer layers and ribs. Kirchhoff-Love hypotheses are accepted for the outer bearing layers in the envelope, and for the filler, the linear law of tangential displacements in thickness is adopted. Transverse deformations of the aggregate were not taken into account. For the edges Bernoulli's hypotheses are accepted, and only the bending of the ribs in the vertical plane was taken into account. With the help of the limiting transition, conditions are obtained for the edge lines without considering the shear deformations in the edges. The values of the parameter of the first frequency of free oscillations of a three-layered shallow shell with a lightweight core supported by one and three transverse stiffeners are given.
Authors and Affiliations
Т. А. Емельянова, Н. Г. Сурьянинов, А. М. Чучмай
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