中国物理B ›› 2023, Vol. 32 ›› Issue (9): 96202-096202.doi: 10.1088/1674-1056/ace037

所属专题： SPECIAL TOPIC — Smart design of materials and design of smart materials

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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. 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
  • 收稿日期:2023-04-18 修回日期:2023-06-13 接受日期:2023-06-21 发布日期:2023-09-07
  • 通讯作者: Nan Ding, Haifei Zhan E-mail:119060@jlufe.edu.cn;zhan_haifei@zju.edu.cn
  • 基金资助:
    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).

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. 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
  • Received:2023-04-18 Revised:2023-06-13 Accepted:2023-06-21 Published:2023-09-07
  • Contact: Nan Ding, Haifei Zhan E-mail:119060@jlufe.edu.cn;zhan_haifei@zju.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: carbon nanothread, size effect, natural frequency, modal shapes, molecular dynamics simulation

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.

Key words: carbon nanothread, size effect, natural frequency, modal shapes, molecular dynamics simulation

中图分类号:  (Mechanical properties of nanoscale systems)

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