Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

Sofiyev A., Kuruoglu N.

International Journal of Mechanical Sciences, vol.101-102, pp.114-123, 2015 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 101-102
  • Nəşr tarixi: 2015
  • Doi nömrəsi: 10.1016/j.ijmecsci.2015.07.025
  • jurnalın adı: International Journal of Mechanical Sciences
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.114-123
  • Açar sözlər: FG core, First order shear deformation theory, Instability regions, Parametric instability, Sandwich cylindrical shells, Static and dynamic load factors
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The parametric instability of simply-supported sandwich cylindrical shell with a functionally graded (FG) core under static and time dependent periodic axial compressive loads is investigated in this study. The governing equations of sandwich cylindrical shell with an FG core are derived based on Donnell's shell theory using first order shear deformation theory (FSDT). Considering the time-dependent periodic axial compressive load, the governing equations are reduced the second order differential equation with the time-dependent periodic coefficient or Mathieu-type equation by using the Galerkin's method. This equation is solved by Bolotin's method and the closed form solutions for dimensionless excitation frequencies of parametric vibration of sandwich cylindrical shells with an FG core based on the FSDT are obtained. Numerical simulations are conducted to verify the analytical results. Finally, the effects of variations of volume fraction index of the FG core, static and dynamic load factors and shell characteristics on the dimensionless excitation frequencies of parametric vibration are studied numerically.