Abstract
The transverse free vibration of nanobeams subjected to an initial axial tension based on nonlocal stress theory is presented. It considers the effects of nonlocal stress field on the natural frequencies and vibration modes. The effects of a small scale parameter at molecular level unavailable in classical macro-beams are investigated for three different types of boundary conditions: simple supports, clamped supports and elastically-constrained supports. Analytical solutions for transverse deformation and vibration modes are derived. Through numerical examples, effects of the dimensionless nanoscale parameter and pre-tension on natural frequencies are presented and discussed.
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Project supported by the Collaboration Scheme from University of Science and Technology of China and City University of Hong Kong Joint Advanced Research Institute, and City University of Hong Kong (No. 7002357 (BC))
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Lim, C.W., Li, C. & Yu, Jl. Free vibration of pre-tensioned nanobeams based on nonlocal stress theory. J. Zhejiang Univ. Sci. A 11, 34–42 (2010). https://doi.org/10.1631/jzus.A0900048
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DOI: https://doi.org/10.1631/jzus.A0900048