| 求解薄板频率特性的边界元法解析研究 |
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| 引用本文： | 方英武,黄玉美,张广鹏,田金刚.求解薄板频率特性的边界元法解析研究[J].地震工程与工程振动,2004,24(6):27-31. |
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| 作者姓名： | 方英武 黄玉美 张广鹏 田金刚 |
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| 作者单位： | 西安理工大学,机械与精密仪器工程学院,陕西,西安,710048;西安理工大学,机械与精密仪器工程学院,陕西,西安,710048;西安理工大学,机械与精密仪器工程学院,陕西,西安,710048;西安理工大学,机械与精密仪器工程学院,陕西,西安,710048 |
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| 基金项目： | 陕西省自然科学基金项目(2003E208) |
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| 摘 要： | 根据弹性薄板理论和振动理论，运用边界元法(BEM)分析了薄板弯曲自由振动的频率特性，从薄板自由振动的微分方程式出发，采用动态基本解推导出其相应的边界积分方程式，计算中对边界积分方程进行缩减，应用频率扫描的方法研究薄板的动态特性，准确、有效地得到了其相应的固有频率、给出的数值算例证明了本文的方法简单、可行，且具有良好的解析计算精度。
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| 关 键 词： | 边界元法(BEM) 薄板 自由振动 动态基本解 频率扫描 |
| 文章编号： | 1000-1301(2004)06-0027-05 |
Analysis for frequency characteristics of thin plate by BEM |
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| Fang Yingwu,Huang Yumei,Zhang Guangpeng,Tian Jingang.Analysis for frequency characteristics of thin plate by BEM[J].Earthquake Engineering and Engineering Vibration,2004,24(6):27-31. |
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| Authors: | Fang Yingwu Huang Yumei Zhang Guangpeng Tian Jingang |
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| Abstract: | According to the elastic thin plate theory and vibration theory, a boundary element method (BEM) was used to analyze the frequency characteristics of a thin plate in lateral free vibration. In view of the differential equations for free vibration of thin plate, the dynamic fundamental solutions in lateral free vibration are adapted to deduce the corresponding boundary integral equations. The amount of equations are reduced in the process of calculation. An approach of frequency scanning is used to research the dynamic characteristics of thin plate. The corresponding natural frequencies are gotten accurately and effectively. By numerical examples given, the method introduced is simple and feasible, and it has good calculating precision. |
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| Keywords: | boundary element method (BEM) thin plate free vibration dynamic fundamental solutions frequency scanning |
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