| 关于铰支微梁横向受迫振动的高阶应变研究 |
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| 引用本文： | 李成,许晓芳.关于铰支微梁横向受迫振动的高阶应变研究[J].新乡学院学报(自然科学版),2010,27(4):28-31. |
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| 作者姓名： | 李成 许晓芳 |
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| 作者单位： | 中国科学技术大学,苏州研究院,江苏,苏州,215123 |
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| 摘 要： | 基于高阶应变理论,研究了受横向外部激励的2端铰支微梁的受迫振动行为。在问题模型中引入了微尺度参数,并考虑轴向伸长的几何非线性因素,根据牛顿第二定律得到了非线性偏微分控制方程。利用多尺度法将控制方程转化为一组线性常微分方程,求出了振幅及横向位移并分析了高阶应变效应的影响,同时分析讨论了幅频特性。
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| 关 键 词： | 高阶应变理论 微梁 多尺度法 横向受迫振动 |
A Study on Transverse Forced Vibration of a Simply Supported Micro-beam Using Higher-order Strain Theory |
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| Authors: | LI Cheng XU Xiao-fang |
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| Institution: | (Suzhou institute for advanced study,University of Science and Technology of China,Suzhou 215123,China) |
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| Abstract: | The transverse forced vibration of a simply supported micro-beam subject to transverse excitation is investigated.The higher-order strain theory is taken into account and the micro-scale parameter is adopted into the mathematical model.Because of the axial elongation,the nonlinear partial differential equation governing transverse motion of the micro-beam is derived from the Newton second law and a set of linear ordinary differential equations are derived by the method of multiple scales.Amplitude and transverse displacement are determined in order to exhibit the higher-order strain effects and the amplitude-frequency relation is also presented and discussed. |
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| Keywords: | Higher-order strain theory micro-beam the method of multiple scales transverse forced vibration |
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