Structural Engineering and Mechanics

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Surface effects on flutter instability of nanorod under generalized follower force

  • Xiao, Qiu-Xiang (School of Civil Engineering, Central South University) ;
  • Zou, Jiaqi (School of Civil Engineering, Central South University) ;
  • Lee, Kang Yong (State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology) ;
  • Li, Xian-Fang (School of Civil Engineering, Central South University)
  • Received : 2017.05.03
  • Accepted : 2017.07.13
  • Published : 2017.12.25
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Abstract

This paper studies on dynamic and stability behavior of a clamped-elastically restrained nanobeam under the action of a nonconservative force with an emphasis on the influence of surface properties on divergence and flutter instability. Using the Euler-Bernoulli beam theory incorporating surface effects, a governing equation for a clamped-elastically restrained nanobeam is derived according to Hamilton's principle. The characteristic equation is obtained explicitly and the force-frequency interaction curves are displayed to show the influence of the surface effects, spring stiffness of the elastic restraint end on critical loads including divergence and flutter loads. Divergence and flutter instability transition is analyzed. Euler buckling and stability of Beck's column are some special cases of the present at macroscale.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Dalian University of Technology

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