期刊
COMPOSITE STRUCTURES
卷 191, 期 -, 页码 78-88出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2018.02.018
关键词
Functionally graded; Cylindrical shell; Nonlinear vibration; Internal resonance
资金
- Hunan Provincial Natural Science Foundation of China [13JJ4053]
The nonlinear dynamic behaviours of functionally graded (FG) cylindrical shells under combined parametric and external excitations are presented in this paper. Based on the von Karman nonlinear theory, Galerkin's method and the static condensation method, the coupled nonlinear differential equations with two modes are derived. The method of multiple scales is applied to solve the coupled nonlinear differential equations having both quadratic and cubic nonlinearities, and the principal resonance and internal resonance of the system are investigated by the frequency response curves. The dynamic stability of parametric excitations is also investigated by time responses of the fundamental mode. The effects of different parameters on the nonlinear vibration are discussed by numerical simulation. Some comparisons are made with the available published work and good agreement is obtained.
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