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Smart Structures and Systems Volume 19, Number 1, January 2017 , pages 105-113 DOI: https://doi.org/10.12989/sss.2017.19.1.105 |
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Dynamics of silicon nanobeams with axial motion subjected to transverse and longitudinal loads considering nonlocal and surface effects |
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J.P. Shen, C. Li, X.L. Fan and C.M. Jung
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| Abstract | ||
| A microstructure-dependent dynamic model for silicon nanobeams with axial motion is developed by considering the effects of nonlocal elasticity and surface energy. The nanobeam is considered to subject to both transverse and longitudinal loads arising from nanostructural surface effect and all positive directions of physical quantities are defined clearly prior to modeling so as to clarify the confusions of sign in governing equations of previous work. The nonlocal and surface effects are taken into consideration in the dynamic behaviors of silicon nanobeams with axial motion including circular natural frequency, vibration mode, transverse displacement and critical speed. Various supporting conditions are presented to investigate the circular frequencies by a numerical method and the effects of many variables such as nonlocal nanoscale, axial velocity and external loads on non-dimensional circular frequencies are addressed. It is found that both nonlocal and surface effects play remarkable roles on the dynamics of nanobeams with axial motion and cause the frequencies and critical speed to decrease compared with the classical continuum results. The comparisons of the non-dimensional calculation values by present and previous studies validate the correctness of the present work. Additionally, numerical examples for silicon nanobeams with axial motion are addressed to show the nonlocal and surface effects on circular frequencies intuitively. Results obtained in this paper are helpful for the design and optimization of nanobeam-like microstructures based sensors and oscillators at nanoscale with desired dynamic mechanical properties. | ||
| Key Words | ||
| silicon nanobeam; nonlocal elasticity; surface effect; circular frequency; critical speed; axial motion | ||
| Address | ||
| J.P. Shen and X.L. Fan: School of Urban Rail Transportation, Soochow University, 8 Jixue Road, Xiangcheng District, Suzhou 215131, China C. Li: School of Urban Rail Transportation, Soochow University, 8 Jixue Road,Xiangcheng District, Suzhou 215131, China; Department of Railroad Civil Engineering, College of Railroad and Logistics, Woosong University,171 Dongdaejeon-ro, Dong-gu, Daejeon, Republic of Korea C.M. Jung: Department of Railroad Civil Engineering, College of Railroad and Logistics, Woosong University, 171 Dongdaejeon-ro, Dong-gu, Daejeon, Republic of Korea | ||