Vibration analysis of a double nano-beam system subjected to subtangential forces

Free vibration analysis of coupled double nano-beamsystem (DNBS) under subtangential forces is implementedbased on the Eringen’s nonlocal elasticity theory inconjunction with the Euler-Bernoulli beam model. The twocantilever nano-beams are assumed parallel and coupled byan enclosing elastic medium which is simulated by Winklerelastic foundation. The equations of motion and associatedboundary conditions are derived by using the extended formof Hamilton’s principle where the extended Galerkin’sapproach is applied to obtain the frequency of coupledDNBS. The effects of the main parameters like springconstant, nonlocal and non-conservative parameters on thefree vibration and stability characteristics of the DNBS areexplained.

Keywords:

Vibration , Double nano-beam system , Eringen’s nonlocal elasticity theory , Non-conservativeparameter