| 用有限元－虚边界元法分析壳体结构的辐射声场 |
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| 引用本文： | 崔喆,黄协清.用有限元－虚边界元法分析壳体结构的辐射声场[J].农业工程学报,2003,19(4):44-48. |
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| 作者姓名： | 崔喆 黄协清 |
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| 作者单位： | 西安交通大学振动与噪声控制工程研究所,西安,710049 |
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| 摘 要： | 该文以封闭耦合壳体为研究对象，应用有限元法和虚边界元最小二乘法建立了求解结构振动声辐射的一般方法，推导了虚边界元最小二乘法计算结构辐射声场的基本公式，编制了相应的计算程序。与普通边界元方法相比，该方法的优点是可以避免奇异积分的处理，求解系数矩阵对称，计算效率高，克服了特征频率处解非唯一等缺点，程序实现容易。以脉动球声辐射为例，通过数值解与解析解的比较，验证了该方法的正确性。进而对壳体结构参数：板厚，边界条件，激励力位置等与结构辐射声场的关系进行了计算，结果表明，壁厚，边界条件，激励力位置等的变化对结构体声辐射有很大的影响，应用该方法可以进一步计算结构在不同频率下，阻尼变化，阻尼处理位置，加筋方式等各种参数变化时的结构辐射声场，研究结论对于壳体的低噪声优化设计有一定的意义。
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| 关 键 词： | 虚边界元 最小二乘法 有限元法 壳体 结构声辐射 |
| 文章编号： | 1002-6819(2003)04-0044-05 |
| 收稿时间： | 8/1/2002 12:00:00 AM |
| 修稿时间： | 2002年8月1日 |
Analysis of shell structural acoustic radiation using finite element method-virtual boundary element method |
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| Cui Zhe and Huang Xieqing.Analysis of shell structural acoustic radiation using finite element method-virtual boundary element method[J].Transactions of the Chinese Society of Agricultural Engineering,2003,19(4):44-48. |
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| Authors: | Cui Zhe and Huang Xieqing |
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| Abstract: | Virtual boundary element-least square method and finite element method are applied to study acoustic radiation of an enveloped couple shell structure. The formula of virtual boundary element-least square method is founded and the computer program is coded to calculate the acoustic radiation of shell structure. Compared with the common boundary element method, numerical treatment for singular integration is avoided, and the coefficient matrix is a symmetrical one. The method of this paper can also overcome the non-uniqueness problem effectively. In addition, the method is simple in ideas and working out the program is easy. Numerical examples of calculating the surface pressure of pulsate sphere are given. Compared with analytical solution, it is shown that the correctness and accuracy of virtual boundary element-least square method were proved. It analyzed the acoustic radiation with thickness of shell structure, boundary condition, and the location of the force. The studies show that, structural acoustic radiation is notably affected by the changes of all the parameters. The acoustic radiation of the changes of frequency, damping, damping treatment position, and stiffened structure can be calculated by this method. The result is valuable for optimized design of structure with low noise. |
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| Keywords: | virtual boundary element method least square method finite element method shell structural acoustic radiation |
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