Dynamic analysis of rotating double-tapered cantilever Timoshenko nano-beam using the nonlocal strain gradient theory |
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| Authors: | Yongqiang Li Meng Li |
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| Institution: | 1. College of Science, Northeastern University, Shenyang, 110819 China;2. Research Institute of Economics and Management, Southwestern University of Finance and Economics, Chengdu, 611130 China |
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| Abstract: | Based on the nonlocal strain gradient theory, the coupling nonlinear dynamic equations of a rotating double-tapered cantilever Timoshenko nano-beam are derived using the Hamilton principle. The equation of motion is discretized via the differential quadrature method. The effects of the angular velocity, nonlocal parameter, slenderness ratio, cross-section parameter, and taper ratios are examined and discussed. It is shown that taper ratios and cross-section parameter play a significant role in the vibration response of a rotating cantilever nano-beam. Further as rotational angular velocity increases, the taper ratios and cross-section parameter effect on the frequency response are increased for first modes of vibration. |
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| Keywords: | double-tapered nonlocal strain gradient theory rotating Timoshenko beam |
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