| 两种方法分析受预紧力纳米梁的线性振动之比较(英文) |
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| 引用本文： | 李成.两种方法分析受预紧力纳米梁的线性振动之比较(英文)[J].平原大学学报,2009(2). |
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| 作者姓名： | 李成 |
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| 作者单位： | 中国科学技术大学苏州研究院; |
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| 摘 要： | 基于非局部理论,建立了受初始拉力的纳米梁的横向自由振动的力学模型。考虑了非局部效应对于固有频率和振动模态的影响,并以两端简支纳米梁为例,运用分离变量法和多尺度分析法考察了梁的线性振动特征。分别讨论了振动模态与无量纲化轴坐标,以及固有频率与非局部参量的关系。两种方法求得结果非常接近,这证明了新建纳米梁横向振动模型的有效性。
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| 关 键 词： | 纳米梁 固有频率 非局部效应 振动模态 分离变量法 多尺度法 |
The Comparison of Linear Vibration of a Pre-tensioned Nano-beam via Two Different Methods |
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| LI Cheng.The Comparison of Linear Vibration of a Pre-tensioned Nano-beam via Two Different Methods[J].Journal of Pingyuan University,2009(2). |
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| Authors: | LI Cheng |
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| Institution: | Suzhou Institute;University of Science and Technology of China;Suzhou 215123;China |
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| Abstract: | The transverse free vibration of nano-beams subjected to an initial axial tension based on nonlocal elasticity theory is presented in this paper.It considers the effects of nonlocal theory field on the natural frequencies and vibration modes.Taking a simply supported nano-beam as an example,the linear vibration was observed by two different methods:separation of variables and multiple scales analysis.Relationships between the vibration mode and dimensionless coordinate,the natural frequencies and nonlocal p... |
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| Keywords: | Nano-beam natural frequency nonlocal effects vibration mode separation of variables multiple scales analysis |
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