| 受压构件支承在受弯构件上钢结构的固有振动 |
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| 引用本文： | 吴晓.受压构件支承在受弯构件上钢结构的固有振动[J].力学与实践,2015,37(1):109. |
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| 作者姓名： | 吴晓 |
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| 作者单位： | 湖南文理学院, 湖南常德 415000 |
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| 摘 要： | 采用Laplace 变换及奇异函数研究了受压构件支承在受弯构件上钢结构的固有振动问题. 推导出受压构件支承在受弯构件上钢结构的受压构件及受弯构件的振型函数,利用支承处连续条件得到了受压构件支承在受弯构件上钢结构的固有振动频率特征方程. 通过算例分析,得到了随着轴向压力的增大,受压构件支承在受弯构件上钢结构的固有振动频率也增大的结论.
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| 关 键 词： | 构件 钢结构 固有振动 频率 Laplace变换 |
| 收稿时间： | 2013-12-26 |
INHERENT VIBRATION OF STEEL STRUCTURE WITH FLEXURAL MEMBER SUPPORTED BY COMPRESSION MEMBER |
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| WU Xiao.INHERENT VIBRATION OF STEEL STRUCTURE WITH FLEXURAL MEMBER SUPPORTED BY COMPRESSION MEMBER[J].Mechanics and Engineering,2015,37(1):109. |
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| Authors: | WU Xiao |
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| Institution: | Hunan University of Arts and Science, Changde 415000, Hunan, China |
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| Abstract: | This paper studies the inherent vibration of steel structures with the flexural member supported by a compression member by the method of Laplace transformation and singular functions. The modal functions of the compression member and the flexural member are derived, and the characteristic equation for inherent vibration frequencies of a steel structure with the flexural member supported by a compression member is obtained by the continuous conditions of supporting. It is shown that its inherent vibration frequency increases with the axial pressure. |
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| Keywords: | member steel structure inherent vibration frequency Laplace transformation |
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