On nonlinear behavior and buckling of fluid-transporting nanotubes

On nonlinear behavior and buckling of fluid-transporting nanotubes
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流体传输纳米管的非线性行为和屈曲

DOI:
10.1016/j.ijengsci.2014.11.005
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发表时间:
2015-02
影响因子:
6.6
通讯作者:
Ni, Q.
Ni, Q.
中科院分区:
工程技术1区
文献类型:
--
作者:
Dai, H. L.;Wang, L.;Abdelkefi, A.;Ni, Q.

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开发了用于输送流体的支撑纳米管的通用非线性非局部模型。考虑到与纳米管中面拉伸相关的几何非线性,基于埃林根非局域弹性理论,使用扩展的汉密尔顿原理推导了这个通用模型。从构建的非线性方程获得了纳米管非线性响应的解析解。结果表明,非局部效应的存在往往会降低临界流速并增加纳米管的屈曲静态位移。还表明,非局部效应对纳米管的屈曲前和屈曲后固有频率有显着影响,而质量比主要影响屈曲后频率,几何非线性项对纳米管的这些频率没有影响。
A general nonlinear nonlocal model for supported nanotubes conveying fluid is developed. Considering the geometric nonlinearity associated with the mid-plane stretching of the nanotube, the extended Hamilton’s principle is used to derive this general model based on Eringen’s nonlocal elasticity theory. Analytical solutions for the nonlinear responses of the nanotube are obtained from the constructed nonlinear equation. It is shown that the presence of the nonlocal effect tends to decrease the critical flow velocity and increase the buckled static displacement of the nanotube. It is also demonstrated that the nonlocal effect has a significant impact on the pre- and post-buckling natural frequencies of the nanotube while the mass ratio mainly influences the post-buckling frequencies and the geometric nonlinearity term has no effect on these frequencies of the nanotube.
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