Non-local Effect on Non-linear Vibration Characteristics of Nano-beams
Canchang Liu1,2, Jinhao Qiu1, Sun Huiyu1,Ji Hongli1, Liu Lu1,2
1 State Key Laboratory of Mechanics and Control of Mechanical Structures,College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016,China2 School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo, 255049, P R China
Abstract：Non-linear vibrational characteristics of nano-beams are studied taking into account the non-local effect. The physical model is built based on the continue body theory and the effect of the axial elongation for the nano-beam. The dynamic equations are derived based on the non-local effect. The natural frequency is gotten and the principal resonance is studied considering non-local effect and axial nonlinear elongation. The numerical results show that the non-local effect has effect on the natural frequency and the relationship between frequency and amplitude.
2013, Vol. 32 
