| 弹性介质中有限长圆柱壳的非轴对称自由振动 |
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| 引用本文： | 刘敬喜,李天匀,张涛,李强.弹性介质中有限长圆柱壳的非轴对称自由振动[J].华中科技大学学报(自然科学版),2004,32(12):75-77. |
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| 作者姓名： | 刘敬喜 李天匀 张涛 李强 |
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| 作者单位： | 华中科技大学,交通科学与工程学院,湖北,武汉,430074;新加坡南洋理工大学,机械系,新加坡 |
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| 基金项目： | 国家自然科学基金资助项目 (6 0 0 0 2 0 0 5 ) |
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| 摘 要： | 对弹性介质中有限长圆柱壳的非轴对称自由振动特性进行了研究，导出了弹性介质一圆柱壳耦合的频散特征方程，利用数值方法得到了圆柱壳的固有频率结果，从数值计算结果可以看出弹性介质中圆柱壳存在截止轴向模态，而截止模态与弹性介质的刚度和圆柱壳的周向模态有关，圆柱壳周围弹性介质的存在增大了圆柱壳的固有频率，研究结果对实际埋地管道振动的研究具有指导意义。
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| 关 键 词： | 弹性介质 频散方程 截止模态 |
| 文章编号： | 1671-4512(2004)12-0075-03 |
| 修稿时间： | 2004年4月16日 |
Non-axisymmetric free vibration of finite cylindrical shells in elastic medium |
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| Liu Jingxi Li Tianyun Zhang Tao Li Qiang Liu Jingxi Doctoral Candidate, College of Traffic Sci. & Tech.,Huazhong Univ. of Sci. & Tech.,Wuhan ,China..Non-axisymmetric free vibration of finite cylindrical shells in elastic medium[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2004,32(12):75-77. |
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| Authors: | Liu Jingxi Li Tianyun Zhang Tao Li Qiang Liu Jingxi Doctoral Candidate College of Traffic Sci & Tech Huazhong Univ of Sci & Tech Wuhan China |
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| Institution: | Liu Jingxi Li Tianyun Zhang Tao Li Qiang Liu Jingxi Doctoral Candidate, College of Traffic Sci. & Tech.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
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| Abstract: | The dispersion equation of structure-acoustic coupling system was derived. The free vibration frequency of cylindrical shells was gotten by the numeric method. The numeric result showed there would be cut-off mode. The cut-off mode was related to the rigidity of elastic medium and the circumstance mode. The frequency of cylindrical shells in elastic medium was higher than that in vacuum. The result was useful to study the actually buried pipe. |
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| Keywords: | elastic medium dispersion equation cut-off mode |
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