Dynamical Characteristics of Axially Accelerating Weak Visco-elastic Nanoscale Beams Based on a Modified Nonlocal Continuum Theory
This paper investigates the subharmonic resonance of an axially travelling weak visco-elastic nanoscale beam with variable velocity based on a new effective nonlocal elasticity theory.The model is derived from a simply supported subminiature belt with a pulsating speed.The weak visco-elasticity is adopted to constitute the material of nanostructures and the partial differential equation is obtained from the d’Alembert principle.The Galerkin method is applied to truncate the governing equation into a set of ordinary differential equations.The first mode subharmonic resonance is analyzed and discussed.Effects of the weak visco-elastic damping,small scale parameter,initial axial tension and the steady component of axial velocity on the instable zone are presented.It is found that both the visco-elastic damping and small scale parameter make the instable zone decrease.Vibration frequency of such accelerating system based on the nonlocal continuum theory is higher than that by classical elasticity mechanics.This is also consistent with the conclusion that “the stiffness of nanostructures is enhanced or “smaller is stiffer in effective nonlocal theory.
axially accelerating nanoscale beam instable zone nonlocal continuum theory subharmonic resonance
Cheng Li
School of Urban Rail Transportation Soochow University,Suzhou 215006,China
国际会议
南京
英文
1-5
2013-08-20（万方平台首次上网日期，不代表论文的发表时间）