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Transverse vibration of pre-tensioned nonlocal nanobeams with precise internal axial loads |
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| Authors: | LI Cheng LIM C. W. YU JiLin & ZENG QingChuan |
| Affiliation: | LI Cheng 1,2,3,LIM C. W. 2,YU JiLin 1,3 & ZENG QingChuan 4 1 Department of Modern Mechanics,University of Science and Technology of China,Hefei 230026,China,2 Department of Building and Construction,City University of Hong Kong,Tat Chee Avenue,Kowloon,Hong Kong SAR,3 China and USTC-CityU Joint Advanced Research Centre,Suzhou 215123,4 College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098 |
| Abstract: | This paper investigates the transverse vibration of a simply supported nanobeam with an initial axial tension based on the nonlocal stress field theory with a nonlocal size parameter. Considering an axial elongation due to transverse vibration, the internal axial tension is not precisely equal to the external initial tension. A sixth-order nonlinear partial differential equation that governs the transverse vibration for such nonlocal nanobeam is derived. Using a perturbation method, the relation between nat... |
| Keywords: | nonlocal stress natural frequency free vibration nonlocal nanoscale |
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