Size effect on transverse free vibrations of ultrafine nanothreads
Zhuoqun Zheng(郑卓群)1, Han Li(李晗)1, Zhu Su(宿柱)1, Nan Ding(丁楠)2,†, Xu Xu(徐旭)3, Haifei Zhan(占海飞)4,5,‡, and Lifeng Wang(王立峰)1
1 State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2 School of Management Science and Information Engineering, Jilin University of Finance and Economics, Changchun 130117, China; 3 College of Mathematics, Jilin University, Changchun 130012, China; 4 College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China; 5 School of Mechanical, Medical and Process Engineering, Queensland University of Technology, Brisbane 4001, Australia
Abstract Due to their unique properties and appealing applications, low dimensional sp3 carbon nanostructures have attracted increasing attention recently. Based on the beam theory and atomistic studies, this work carries out a comprehensive investigation on the vibrational properties of the ultrathin carbon nanothreads (NTH). Size effect is observed in transverse free vibrations of NTHs. To quantify such effects, the modified couple stress theory (MCST) is utilized to modify the Timoshenko beam theory. According to the first four order frequencies of NTHs from atomistic simulations, the critical length scale parameter of MCST is calibrated as 0.1 nm. It is shown that MCST has minor effect on the first four order modal shapes, except for the clamped boundary. MCST makes the modal shapes at the clamped boundary closer to those observed in atomistic simulations. This study suggests that to some extent the MCST-based Timoshenko beam theory can well describe the transverse vibration characteristics of the ultrafine NTHs, which are helpful for designing and fabricating the NTH-based nanoscale mechanical resonators.
Received: 18 April 2023
Revised: 13 June 2023
Accepted manuscript online: 21 June 2023
PACS:
62.25.-g
(Mechanical properties of nanoscale systems)
Fund: Project partially supported by the National Natural Science Foundation of China (Grant No. 12102176), the China Postdoctoral Science Foundation (Grant No. 2022M711617), and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20210274).
Corresponding Authors:
Nan Ding, Haifei Zhan
E-mail: 119060@jlufe.edu.cn;zhan_haifei@zju.edu.cn
Cite this article:
Zhuoqun Zheng(郑卓群), Han Li(李晗), Zhu Su(宿柱), Nan Ding(丁楠), Xu Xu(徐旭),Haifei Zhan(占海飞), and Lifeng Wang(王立峰) Size effect on transverse free vibrations of ultrafine nanothreads 2023 Chin. Phys. B 32 096202
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