| 关于厚梁横向振动的研究 |
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| 引用本文： | 赵玉芝.关于厚梁横向振动的研究[J].大连铁道学院学报,1988(4). |
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| 作者姓名： | 赵玉芝 |
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| 作者单位： | 大连铁道学院理论力学教研室 |
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| 摘 要： | 本文应用哈密顿变分原理较简捷地建立了厚梁横向振动的微分方程.同时得到梁的边界条件和运动的初始条件,进而导出了简支厚梁的频率方程.由计算数据可知剪切变形和转动惯量对厚梁振动(以及薄梁的高阶振型)的影响至关重要.不容忽略.
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| 关 键 词： | 横向振功 振动频率 惯性矩/厚梁 振动微分方程 频率方程 剪切变形 |
Study of Transverse Vibration in Thick Beam |
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| Zhao Yuzhi.Study of Transverse Vibration in Thick Beam[J].Journal of Dalian Railway Institute,1988(4). |
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| Authors: | Zhao Yuzhi |
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| Abstract: | The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle. The boundary condition of the beam and the initial condition of motion are obtained in the meantime. And the frequency equation of thick beam hinged at both erics are deduced. It can full explain that the influence of shear deformation and momeni of inertia on vibration in a thick beam (as well as in high order modes of a thin beam) is very important and should never be neglected at all. |
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| Keywords: | transverse vibration frequency of vibration moment of inertia/thick beam differential differential equation of vibration frequency equation shear deformation |
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