| 基于有限元方法对人工径向裂纹薄圆板振动辐射声场的研究 |
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| 引用本文： | 石焕文,尚志远,田华. 基于有限元方法对人工径向裂纹薄圆板振动辐射声场的研究[J]. 应用力学学报, 2003, 20(4): 6-9 |
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| 作者姓名： | 石焕文 尚志远 田华 |
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| 作者单位： | 1. 陕西师范大学,西安,710062;长安大学,西安,710064
2. 陕西师范大学,西安,710062 |
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| 基金项目： | 国家自然科学基金资助 (No .198740 42 )，长安大学科技发展基金资助 (No .0 2Q2 0 ) |
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| 摘 要： | 在有限元模态分析的基础上，提取了含人工径向裂纹的周界固定薄圆板各单元的相关参数，并将瑞利积分离散化后进而计算了裂纹圆板辐射声场的轴向声压分布和r=0．5m球面上声场指向性。结果表明，径向裂纹不仅使模态裂解为关于裂纹的对称模态和反对称模态，而且使声场分布有显著的变化。通过完整圆板辐射声场计算验证了本文提出方法的正确性。可用于求解任意形状穿透裂纹薄圆板辐射声场的计算。
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| 关 键 词： | 有限元法 人工径向裂纹 圆板辐射声场 瑞利积分离散化 声压分布 对称模态 振动频率 |
| 文章编号： | 1000-4939(2003)04-0006-04 |
| 修稿时间： | 2002-10-08 |
On the Sound Field Radiated by a Clamped Thin Circular Plate with an Artificially Radial Crack Based on FEM |
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| Shi Huanwen Shang Zhiyuan Tian Hua. On the Sound Field Radiated by a Clamped Thin Circular Plate with an Artificially Radial Crack Based on FEM[J]. Chinese Journal of Applied Mechanics, 2003, 20(4): 6-9 |
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| Authors: | Shi Huanwen Shang Zhiyuan Tian Hua |
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| Abstract: | On the basis of the modal analysis by FEM, some relative parameters of every element on a clamped thin circular plate with an artificially radial crack are extracted. After the Rayleigh's integral is discreted, the axial pressure distribution and the pattern of the sound field on the spherical surface r=0.5m radiated from the crack plate are computed. It is shown that the radial crack doesn't only make the modes split into symmetrical and antisymmetrical modes about the crack except for the first mode, but also changes the distribution of the sound field remarkably. The validation of the method is illustrated by the sound field radiated from the intact circular plate, and it is suitable for computing sound field radiated from a circular plate with different kind of through crack. |
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| Keywords: | finite element method(FEM) artificial radial crack sound radiated from a circular plate. |
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