| 应用微分求积法的旋转变截面梁振动分析 |
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| 引用本文： | 吴国荣.应用微分求积法的旋转变截面梁振动分析[J].中国舰船研究,2007,2(5):42-44,49. |
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| 作者姓名： | 吴国荣 |
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| 作者单位： | 浙江海洋学院,船舶工程系,浙江,舟山,316004 |
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| 摘 要： | 研究了截面高度沿纵向线性变化的旋转梁的振动特性。基于Hamilton原理导出了控制方程,该控制方程计及了向心力刚化效应,利用微分求积法将其谐和振动方程转化为代数方程。计算了前三阶固有频率并进行了对比,结果表明了该方法的精度和有效性。
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| 关 键 词： | 梁 振动 模态 微分求积法 |
| 文章编号： | 1673-3185（2007）05-42-03 |
| 收稿时间： | 2007-08-20 |
| 修稿时间： | 2007年8月20日 |
Analysis on Rotating Tapered Beams Vibration by the Differential Quadrature Method |
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| Wu Guo-rong.Analysis on Rotating Tapered Beams Vibration by the Differential Quadrature Method[J].Chinese Journal of Ship Research,2007,2(5):42-44,49. |
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| Authors: | Wu Guo-rong |
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| Abstract: | The free bending vibration of rotating tapered beams is investigated by using the differential quadrature method. The range of problems considered includes beams for which the heigth of the cross-section varies linearly along the length. First, the governing differential equation of motion of the rotating tapered beam is derived using the Hamilton's principle, allowing for the stiffening effects of centrifugal force. Then, for harmonic oscillation the differential equation is solved for bending displacement by applying the differential quadrature method. The first three natural frequencies are obtained. Comparison studies are carried out to establish the accuracy and effectiveness of the present differential quadrature method. |
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| Keywords: | beam vibration mode differential quadrature method |
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