| 弹性底板矩形贮箱流固耦合系统的自由振动分析 |
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| 引用本文： | 傅衣铭,徐晓贤. 弹性底板矩形贮箱流固耦合系统的自由振动分析[J]. 湖南大学学报(自然科学版), 2006, 33(1): 33-37 |
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| 作者姓名： | 傅衣铭 徐晓贤 |
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| 作者单位： | 湖南大学,工程力学系,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目(10272042) |
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| 摘 要： | 基于Bernoulli方程,通过对弹性体与流场耦合作用机理的分析,建立了弹性底板矩形贮箱流固耦合系统的自由振动方程.将系统的自由振动问题降为一维问题来处理,提出了一种分析此系统自由振动问题的半解析方法,并采用迦辽金方法,求解了系统的自由振动频率.最后讨论了弹性底板的抗弯刚度、结构几何参数以及液体的深度与密度对系统自由振动频率的影响,以便更确切地反映弹性底板矩形贮箱与流体耦合作用的实际机理.
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| 关 键 词： | 弹性底板 矩形贮箱 自由振动 流固耦合 |
| 文章编号： | 1000-2472（2006）01-0033-05 |
| 收稿时间： | 2005-06-11 |
| 修稿时间： | 2005-06-11 |
Free Vibrations of Solid-Fluid Interaction Rectangular Containers with Elastic Bottoms |
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| FU Yi-ming,XU Xiao-xian. Free Vibrations of Solid-Fluid Interaction Rectangular Containers with Elastic Bottoms[J]. Journal of Hunan University(Naturnal Science), 2006, 33(1): 33-37 |
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| Authors: | FU Yi-ming XU Xiao-xian |
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| Affiliation: | Dept of Engineering Mechanics, Hunan Univ, Changsha, Hunan 410082, China |
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| Abstract: | Based on Bernoulli equation,the mechanism of solid-fluid interaction was analyzed,and the free vibration equations of solid-fluid interaction rectangular containers with elastic bottoms were established.The free vibrations of the system were disposed as one-demension problems,a semi-analytical method was presented to analyze the free vibrations of the systems,and the free vibration frequencies were obtained by Galerkin method.The effects of the flexural rigidities and structural geometric constants of the elastic bottom plates and the depth and density of the liquid on the frequencies of the system were discussed to better reflect the practical mechanism of solid-fluid interaction. |
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| Keywords: | elastic bottom plates rectangular containers free vibrations solid-fluid interaction |
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