Effect of length and thickness variations on the vibration of SWCNTs based on Flügge's shell model

Micro & nano letters

article

Muzamal Hussain¹  Muhammad Nawaz Naeem¹  Muhammad Taj² 

[1] Department of Mathematics, Government College University Faisalabad;Department of Mathematics, University of Azad Jammu and Kashmir

关键词: vibrations;    wave propagation;    chirality;    carbon nanotubes;    shells (structures);    governing equation;    objective system;    wave propagation approach;    frequency equation;    eigen form;    carbon nanotube;    fundamental natural frequencies;    thickness variations;    Flügge's shell model;    chiral single-wall carbon nanotubes;    Flügge shell theory;    end conditions;   

DOI  :  10.1049/mnl.2019.0309

学科分类：计算机科学（综合）

来源: Wiley

【 摘 要 】

This work aims to investigate the vibration of the zigzag and chiral single-wall carbon nanotubes (SWCNTs) based on Flügge shell theory considering the clamped-simply supported, clamped-free, clamped-clamped and simply supported-simply supported end conditions. After developing the governing equation of the objective system, the wave propagation approach is implemented for the purpose of obtaining the frequency equation in the eigen form for vibration of the considered system. In addition, the applicability of this model for the analysis of vibration of carbon nanotube is examined with the effect of length and ratio of height-to-radius. To generate the fundamental natural frequencies of SWCNTs, computer software MATLAB engaged. The numerical results are validated with existing open text. Since the percentage of error is negligible, the model has been concluded as valid.

【 授权许可】

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