期刊
NONLINEAR DYNAMICS
卷 78, 期 2, 页码 1421-1434出版社
SPRINGER
DOI: 10.1007/s11071-014-1525-8
关键词
Functionally graded; Cylindrical shell; Nonlinear vibration; Elastic foundation
资金
- Hunan Provincial Natural Science Foundation of China [11JJ3013, 10JJ3085]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20104316120002]
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 Karman 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.
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