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Surface effects on flutter instability of nanorod under generalized follower force
Qiu-Xiang Xiao,Jiaqi Zou,이강용,Xian-Fang Li 국제구조공학회 2017 Structural Engineering and Mechanics, An Int'l Jou Vol.64 No.6
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 forcefrequency 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.