Nonlinear vibrations of FG cylindrical shells subjected to parametric and external excitations

Sheng G. G.; Wang X.

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Nonlinear vibrations of FG cylindrical shells subjected to parametric and external excitations

机译：FG圆柱壳在参数和外部激励作用下的非线性振动

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摘要

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.

机译：提出了功能梯度圆柱壳在参数和外部激励共同作用下的非线性动力学行为。基于冯·卡曼非线性理论，Galerkin方法和静态凝聚方法，推导了具有两种模式的耦合非线性微分方程。应用多尺度方法求解具有二次和三次非线性的耦合非线性微分方程，并通过频率响应曲线研究系统的主共振和内共振。还通过基本模式的时间响应来研究参数激励的动态稳定性。通过数值模拟讨论了不同参数对非线性振动的影响。与可用的已发表著作进行了一些比较，并获得了良好的共识。

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来源
《Composite Structures》 |2018年第5期|78-88|共11页
作者
Sheng G. G.; Wang X.;
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作者单位

Changsha Univ Sci & Technol, Sch Civil Engn, Changsha 410114, Hunan, Peoples R China;

Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Functionally graded; Cylindrical shell; Nonlinear vibration; Internal resonance;

机译：功能梯度圆柱壳非线性振动内部共振;

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Nonlinear vibrations of FG cylindrical shells subjected to parametric and external excitations

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