| 弹性支持的无限铁木辛柯梁对移动振动质量的响应 |
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| 引用本文： | 翁雪涛,胡安.弹性支持的无限铁木辛柯梁对移动振动质量的响应[J].海军工程大学学报,2008,20(1):65-68. |
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| 作者姓名： | 翁雪涛 胡安 |
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| 作者单位： | 1. 海军工程大学,科研部,武汉,430033
2. 武汉南华高速船工程有限公司,武汉,430064 |
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| 摘 要： | 针对具有弹性基础的无限梁在移动的振动质量激励下的响应问题,采用考虑剪切变形和转动惯量的铁木辛柯梁理论建立梁的微分方程,并利用双重傅立叶变换求解,得到梁的运动方程。最后,通过一个数值计算的实例,分析了振动质量以及其移动的速度对梁的响应的影响。结果表明,振动质量本身对梁的响应的影响不可忽视。
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| 关 键 词： | 铁木辛柯梁 双重傅立叶变换 等值线积分 |
| 文章编号： | 1009-3486(2008)01-0065-04 |
| 修稿时间： | 2007年9月8日 |
Response of an elastically supported infinite Timoshenko beam to moving vibrating mass |
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| WENG Xue-tao,HU An.Response of an elastically supported infinite Timoshenko beam to moving vibrating mass[J].Journal of Naval University of Engineering,2008,20(1):65-68. |
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| Authors: | WENG Xue-tao HU An |
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| Abstract: | Aiming at the response of an elastically supported infinite Timoshenko beam excited by moving vibrating mass,the differential equation was developed by Timoshenko beam theory including the effects of shear deformation and rotatory inertia.The motion equation of beam was solved by using double Fourier transforms.A numerical example was provided,in which the effect of vibrating mass and its velocity on the response of beam was analyzed.The conclusion shows that the effect of vibrating mass can not to be ignored. |
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| Keywords: | Timoshenko beam double Fourier transforms equivalence integration |
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