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Effect of temperature on vibration of cracked single-walled carbon nanotubes embedded in an elastic medium under different boundary conditions
Mechanics Based Design of Structures and Machines ( IF 3.9 ) Pub Date : 2020-06-12 , DOI: 10.1080/15397734.2020.1759431
Sardar S. Abdullah 1, 2 , Shahrokh Hosseini-Hashemi 1, 3 , Nazhad A. Hussein 2 , Reza Nazemnezhad 4
Affiliation  

Abstract

This study investigates thermal effect on free vibration of cracked single-walled carbon nanotubes (SWCNTs) embedded in an elastic medium under different boundary conditions. The nonlocal Euler–Bernoulli beam equations are derived using the Hamiltonian principle. The interaction of the elastic medium and the SWCNT is modeled using Winkler-type foundation. The effect of low and high temperatures, crack severity, crack position, scale coefficient, and elastic medium are investigated. The results show that the temperature at some cases have the significant effects on the frequencies. The elastic medium has a great influence on the frequencies of cracked and non-cracked beams at any temperature.



中文翻译:

温度对不同边界条件下嵌入弹性介质的单壁碳纳米管裂纹振动的影响

摘要

本研究研究了在不同边界条件下嵌入弹性介质中的破裂单壁碳纳米管 (SWCNT) 自由振动的热效应。使用哈密顿原理推导出非局部 Euler-Bernoulli 梁方程。弹性介质和 SWCNT 的相互作用采用 Winkler 型基础建模。研究了低温和高温、裂纹严重程度、裂纹位置、比例系数和弹性介质的影响。结果表明,温度在某些情况下对频率有显着影响。弹性介质在任何温度下对裂纹和非裂纹梁的频率都有很大的影响。

更新日期:2020-06-12
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