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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Free flexural radial vibrations of a thin circular cylindrical shell bearing added mass

Vestnik MGSU 11/2014
  • Seregin Sergey Valer’evich - Komsomolsk-na-Amure State Technical University postgraduate student, Department of Construction and Architecture, Komsomolsk-na-Amure State Technical University, 27 Lenin st., Komsomolsk-on-Amure, 681013, Russian Federation, (4217) 24-11-41; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 74-81

The author comes up with a refined mathematical model contemplating that added mass facilitates interaction between coupled flexural and radial vibrations in the linear setting. The author has identified a higher splitting of the flexural frequency spectrum due to the presence of the added mass and the wave generation parameters that characterize the relative length and thickness of the shell. Within the framework of the shallow-shell theory, the influence of the small concentrated mass onto natural dynamic properties of the shell is exposed to research. The refined mathematical model was employed to identify that the added mass binds the coupled flexural shape of the circular cylindrical shell and facilitates interaction between low-frequency flexural vibrations and high-frequency radial vibrations. Moreover, radial vibrations act as a supplementary inertial link between coupled flexural shapes. Due to the availability of the exciting load, non-resonant areas, identified through the application of the traditional mathematical model, can be resonant in essence. The findings of this research must be considered in the course of the assessment of the dynamic strength of any shell structures designed. This refined finite-dimensional model, capable of recognizing radial vibrations, has generated the results that comply with numerical analyses and experimental data both quantitatively and qualitatively. Therefore, dynamic problems that have already been resolved may need refinement.

DOI: 10.22227/1997-0935.2014.11.74-81

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