Non-local effect on non-linear vibration characteristics of a nano-beam

作者：Liu Can Chang; Qiu Jin Hao^*; Ji Hong Li; Liu Lu

来源：Journal of Vibration and Shock, 2013, 32(4): 158-162.

• Dynamic equations
• Elastic effects
• Multiscales
• Nano beams
• Non-linear model
• Non-linear vibrations
• Nonlinear elongation
• Principal resonance

Non-linear vibrational characteristics of a nano-beam were studied taking the non-local effect into account. The physical model was built based on the continue body theory and the effect of axial elongation for the nano-beam. The dynamic equations were derived based on the non-local effect. The natural frequencies were obtained and the principal resonance was studied considering non-local effect and axial nonlinear elongation. The numerical results showed that the non-local effect has effects on both the natural frequencies and the relationship between frequency and amplitude.

• 出版日期2013
• 单位山东大学