| 轴向力作用下非对称支承Euler-Bernoulli梁在过屈曲前后的横向自由振动 |
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| 引用本文： | 滕兆春,李世荣.轴向力作用下非对称支承Euler-Bernoulli梁在过屈曲前后的横向自由振动[J].振动与冲击,2004,23(4):88-90. |
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| 作者姓名： | 滕兆春 李世荣 |
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| 作者单位： | 甘肃工业大学,理学院,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金B类项目 (ZS0 2 2 -A2 5 - 0 0 4 ) |
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| 摘 要： | 基于轴线可伸长杆的几何非线性理论，建立了Euler-Bemoulli梁在轴向载荷作用下过屈曲横向自由振动的精确模型，并采用打靶法数值求解了一端可移简支一端固定的Euler-Bemoulli梁在过屈曲前后的小振幅自由振动，获得了线性振动的响应。结果表明，轴向力对过屈曲前后梁的各阶固有频率均有影响。
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| 关 键 词： | 过屈曲 自由振动 线性振动 打靶法 数值求解 非对称 简支 几何非线性 轴线 支承 |
| 修稿时间： | 2003年4月8日 |
Pre-Buckling and Post-Buckling Transverse free Vibration of an Asymmetrically Supported Euler-Bernoulli Beam Subjected to Axial Force |
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| Teng Zhaochun,Li Shirong.Pre-Buckling and Post-Buckling Transverse free Vibration of an Asymmetrically Supported Euler-Bernoulli Beam Subjected to Axial Force[J].Journal of Vibration and Shock,2004,23(4):88-90. |
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| Authors: | Teng Zhaochun Li Shirong |
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| Abstract: | Based on geometrically non-linear theory for axially extensible rods,an exact mathematical model of post-buckling transverse free vibration of Euler-Bernoulli beams subjected to axial force are developed.By using shooting method,pre-buckling and post-buckling free vibrations of both simply supported and fixed Euler-Bernoulli beam are solved and the responses of small amplitude vibration are obtained.Results show the effect of axial force on all ordets of natural frequencies. |
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| Keywords: | axial force Euler-Bernoulli beam post-buckling free vibration shooting method |
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