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- Title
The nonlinear vibrations of functionally graded cylindrical shells surrounded by an elastic foundation.
- Authors
Sheng, G.; Wang, X.; Fu, G.; Hu, H.
- Abstract
This paper reports the result of an investigation on the nonlinear vibrations of functionally graded cylindrical shell surrounded by an elastic foundation, based on Hamilton's principle, von Kármán nonlinear theory, and the first-order shear deformation theory. Material properties are assumed to be temperature dependent. The surrounding elastic medium is modeled as Winkler foundation model, Pasternak foundation model, and nonlinear foundation model. Galerkin's method is utilized to convert the governing partial differential equations to nonlinear ordinary differential equations with quadratic and cubic nonlinearities. Considering the primary resonance case, the method of multiple scales is used to study the frequency response of nonlinear vibrations and the softening/hardening behavior. Parametric effects on the nonlinear vibrations are investigated.
- Subjects
ENGINEERED cylindrical shell vibration; NONLINEAR theories; HAMILTON'S principle function; SHEAR (Mechanics); DEFORMATIONS (Mechanics); GRADING (Commercial products)
- Publication
Nonlinear Dynamics, 2014, Vol 78, Issue 2, p1421
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-014-1525-8