考虑非局部效应的纳米梁非线性振动

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (4) : 158-162.

论文

考虑非局部效应的纳米梁非线性振动

刘灿昌1,2，裘进浩1，孙慧玉1 , 季宏丽1 ,刘露1,2

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Non-local Effect on Non-linear Vibration Characteristics of Nano-beams

Canchang Liu1,2, Jinhao Qiu1, Sun Huiyu1,Ji Hongli1, Liu Lu1,2

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摘要

以弹性理论为基础，建立考虑非局部效应和轴向非线性伸长的两端固支纳米梁物理模型,推导出其动力学方程，计算得到考虑非局部效应和轴向非线性纳米梁的固有频率，研究了考虑非局部效应的纳米梁主谐波共振响应。数值结果表明，非局部效应对两端固支纳米梁固有频率和幅频关系均有影响。

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.

导出引用

刘灿昌;裘进浩;孙慧玉;季宏丽;刘露;. 考虑非局部效应的纳米梁非线性振动[J]. 振动与冲击, 2013, 32(4): 158-162

Canchang Liu;Jinhao Qiu;Sun Huiyu;Ji Hongli;Liu Lu;. Non-local Effect on Non-linear Vibration Characteristics of Nano-beams[J]. Journal of Vibration and Shock, 2013, 32(4): 158-162