Investigation of Free Vibrations of Three-Layered Circular Shell Supported by Annular Ribs of Rigidity

Abstract:

The construction of a mathematical model and the development of an algorithm of free vibrations investigation in the three-layered circular shell with a light-weight aggregate supported by annular rigidity ribs are considered in paper. The hypotheses of Kirchoff-Lyav are accepted for external bearing layers of shell and for aggregate there is accepted the linear law of tangential displacements change by thickness. The boundary conditions of a shell region closed between the ribs are established. Using the boundary transition, conditions along the lines of the ribs, taking into account and without deformations of displacement in the ribs, but without taking into account the torsional rigidity in the ribs are determined. The equation of motion of supported three-layered shell is obtained. The frequencies of free vibrations were investigated and values of parameter of the first frequency of free vibrations for a shell, supported by one and three rigidity ribs, were calculated. There are given values depending on the physical and mechanical properties of materials and geometric dimensions of the shell, the curvature parameter, and the rigidity parameter of an aggregate.

• Periodical: Materials Science Forum (Volume 968)
• Pages: 437-443
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.968.437
• Online since: August 2019
• Authors: Mykola Surianinov, Tetiana Yemelianova*, Oleksii Shyliaiev
• Keywords: Curvature Parameter, First Frequency of Free Vibrations, Frees Vibrations, Light-Weight Aggregate, Rigidity, Rigidity Parameter, Shift Parameter, Three-Layer Shell

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