研究嵌入弹性介质的碳纳米管动态稳定性的互联管道模型

D. Lolov, S. Lilkova-Markova
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引用次数: 0

摘要

摘要 以欧拉梁模型为基础,采用谱 Galerkin 方法研究了相互连接的单壁碳纳米管的动态稳定性。假定被研究的碳纳米管两端铰接并嵌入弹性介质中。为了研究周围弹性介质对管道动态稳定性的影响,引入了帕斯捷尔纳克弹性介质。计算了不同弹性介质刚度和不同输送流体密度下的临界速度。
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The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium
Abstract The dynamic stability of an interconnected single-walled carbon nanotube is investigated on the basis of the Euler-beam model and with the employment of the spectral Galerkin method. The tubes under investigation are assumed hinged at its both ends and are embedded in an elastic medium. In order to investigate the effect of the surrounding elastic medium on the dynamic stability of the pipe the Pasternak elastic medium is introduced. The critical velocity is calculated for different stiffness of the elastic medium and different density of the conveyed fluid.
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