| 考虑非局部效应的纳米梁非线性振动 |
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| 引用本文： | 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. |
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| 作者姓名： | 刘灿昌 裘进浩 孙慧玉 季宏丽 刘露 |
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| 作者单位： | 1机械结构力学及控制国家重点实验室，航空宇航学院，南京航空航天大学，南京,210016 2交通与车辆工程学院, 山东理工大学,淄博 255049 |
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| 基金项目： | 长江学者和创新团队发展计划资助(IRT0968);博士后基金(2012M521082) |
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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。
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| 关 键 词： | 振动 纳米梁 非局部效应 非线性模型 多尺度 |
| 收稿时间： | 2011-11-3 |
| 修稿时间： | 2012-4-9 |
Non-local effect on non-linear vibration characteristics of a nano-beam |
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| LIU Can-chang,QIU Jin-hao,JI Hong-li,LIU Lu.Non-local effect on non-linear vibration characteristics of a nano-beam[J].Journal of Vibration and Shock,2013,32(4):158-162. |
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| Authors: | LIU Can-chang QIU Jin-hao JI Hong-li LIU Lu |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | vibration nano-beam non-local elasticity effect non-linear model multi-scales |
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