| 含表面裂纹悬臂梁的非线性振动分析 |
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| 引用本文： | 王洪霞,李学平.含表面裂纹悬臂梁的非线性振动分析[J].铁道科学与工程学报,2010,7(1). |
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| 作者姓名： | 王洪霞 李学平 |
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| 作者单位： | 中南大学土木建筑学院,湖南,长沙,410075;中南大学土木建筑学院,湖南,长沙,410075 |
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| 摘 要： | 对含表面裂纹悬臂梁在大幅振动下的几何非线性进行了理论分析,建立了梁的非线性振动的半解析解。基于Ray-leigh方法将振型函数表示为线性模型振型函数的组合,建立了梁非线性振动的第一阶振型函数的显式表达式,数值模拟计算了不同的裂纹深度和给定不同第一函数系数a1对梁最大位移的影响。建立的显式方程简单,易于工程应用。
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| 关 键 词： | 裂纹梁 几何非线性 固有频率 非线性振型 |
Non-linear vibration analysis of cantilever beams with an edge crack |
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| WANG Hong-xia
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LI Xue-ping.Non-linear vibration analysis of cantilever beams with an edge crack[J].Journal of Railway Science and Engineering,2010,7(1). |
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| Authors: | WANG Hong-xia LI Xue-ping |
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| Institution: | School of Civil and Architectural Engineering;Central South University;Changsha 410075;China |
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| Abstract: | A theoretical investigation of the geometrically non-linear free vibrations of a cantilever beam containing was made an open crack under large vibration amplitudes and a semi-analytical solution about the beam of non-linear vibrations were proposed.By using the combined mode functions of line model to express the mode functions based on the Rayleigh method,the first mode explicit expression of non-linear vibrations was established.Besides,the effect of assigned different fist function contributions a1 and v... |
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| Keywords: | crack beam geometrically non-linear natural frequency non-linear vibration of shape |
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