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Exact solution for natural frequencies of double-walled carbon nanotubes clamped at both ends

机译：固定在两端的双壁碳纳米管固有频率的精确解

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摘要

We report a study of the natural frequencies of the double-walled carbon nanotubes clamped at both ends. An exact solution is provided and compared with solutions reported in the literature. In contrast to earlier investigations, an analytical criterion is derived to establish the behavior of the roots of the characteristic equation. An approximate Bubnov-Galerkin solution is also obtained to compare natural frequencies at the lower end of the spectrum.View full textDownload full textKeywordsdouble-walled carbon nanotubes, vibrational frequencies, free vibrationsRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/09500839.2010.521525
机译：我们报告了对夹在两端的双壁碳纳米管固有频率的研究。提供了精确的解决方案，并与文献中报道的解决方案进行了比较。与早期研究相反，推导了一种分析标准来建立特征方程根的行为。还获得了近似的Bubnov-Galerkin解决方案，以比较频谱较低端的自然频率。查看全文下载全文关键字双壁碳纳米管，振动频率，自由振动相关var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，services_compact ：：“ citeulike，netvibes，twitter，technorati，美味，linkedin，facebook，stumbleupon，digg，google，更多”，pubid：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/09500839.2010.521525

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