Title of the article

NONLINEAR PARAMETRIC VIBRATIONS OF STIFFENED CYLINDRICAL SHELL WITH A VISCOELASTIC FILLER

Authors

Mehtiyev M.A., Candidate of Technical Sciences, Associate Professor of the Department "Higher Mathematics" of the Azerbaijan State Economic University, Baku, Azerbaijan

In the section DYNAMICS DURABILITY OF VEHICLES AND STRUCTURES
Year 2011 Issue 3 Pages 28-30
Type of article RAR Index UDK 539.3 Index BBK  
Abstract

In the paper, a problem on parametric vibration of a stiffened cross system of ribs cylindrical shell contacting with external viscoelastic medium and situated under the action of internal pressure is solved in a geometric nonlinear statement by means of the variation principle. Influences of environment have been taken into account by means of the Pasternak model. Dependencies of dynamic stability area on parameters of the construction on the on "loadfrequency" plane are reduced and respresented on the form of a curve.

Keywords

ribbed shell, viscoelasticity, parametric oscillation, dynamic stability, Pasternak model, frequency of oscillation

  You can access full text version of the article.
Bibliography
  • Pirmamedov I.T. Parametricheskie kolebanija vjazko-uprugoj obolochki, s uchetom povrezhdaemosti, zakljuchennoj v vjazkoupruguju matricu [Parametric vibrations of nonlinearly viscoelastic shell enclosed in viscoelastic matrix]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1 (6), pp. 52-55.
  • Pirmamedov I.T. Parametricheskie kolebanija nelinejnoj vjazkouprugoj cilindricheskoj obolochki, zakljuchennoj v vjazkoupruguju matricu, s primeneniem "dinamicheskoj" modeli Pasternaka i s uchetom trenija [Parametric oscillations of nonlinear viscoelastic cylindrical shell enclosed in a viscoelastic matrix using "dynamic" model of Pasternak and taking into account friction]. Estestvennye i tehnicheskie nauki [Natural and technical sciences], 2008, no. 6(38), pp. 27-32.
  • Volmir A.S. Nelinejnaja dinamika plastinok i obolochek [Nonlinear dynamics of plates and shells]. Moscow, Nauka, 1972. 432 p.
  • Amiro I.Ja., Zaruckij V.A. Teorija rebristyh obolochek. Metody rascheta obolochek [Theory of ribbed shells. Methods of calculating shells]. Kiev, Nauk. dumka, 1980. 367 p.
  • Gelfand I.M., Shilov G.E. Obobshhennye funkcii i dejstvija nad nimi [Generalized functions and actions over them]. Moscow, Fizmatgiz, 1959. 470 p.