Investigation of Hydroelasticity Coaxial Geometrically Irregular and Regular Shells Under Vibration

  • Anna Kalinina
  • Dmitry KondratovEmail author
  • Yulia Kondratova
  • Lev Mogilevich
  • Victor Popov
Conference paper
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 199)


One of the main problems of modern technology is the reduction of general weight under vibration stability of the applied construction. The application of thin-walled construction elements together with viscous incompressible liquid presents one of the possible variants of the given problem solution. An urgent task of scientific and practical interest in studying the issues of strength and reliability of mechanical systems used in the aviation and space industry is the task of constructing and studying mathematical models describing the dynamics of interaction between geometrically regular and ribbed cylindrical shells with a viscous incompressible fluid under various vibration loads. The model of hydroelasticity of coaxial geometrically irregular and regular shells during vibration is investigated. The outer geometrically irregular shell has ribs of finite width. Elastic outer and inner shells are freely attached to the ends. Viscous incompressible fluid completely fills the space between the shells. The amplitude frequency characteristics of the inner and outer shells are found. The influence of the width of the liquid layer and the viscosity of the liquid on the amplitude frequency characteristics of the shells is shown. The graphs of amplitude frequency characteristics are given. The research is made under the financial support of RFFI Grants № 18-01-00127-a, 19-01-00014-a, 19-01-00248-a and President of Russian Federation Grant MD-756.2018.8.


Coaxial cylindrical shells Mathematical modeling Hydroelasticity Viscous liquid Geometrically irregular shell Amplitude frequency characteristics Vibration 



The research is made under the financial support of RFFI Grants № 18-01-00127-a, 19-01-00014-a, 19-01-00248-a and President of Russian Federation Grant MD-756.2018.8.


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Authors and Affiliations

  1. 1.Yuri Gagarin State Technical University of SaratovSaratovRussia
  2. 2.Russian Presidential Academy of National Economy and Public AdministrationSaratovRussia
  3. 3.Saratov State UniversitySaratovRussia

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