| 线分布激励下功能梯度材料矩形板声辐射研究 |
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| 引用本文： | 徐步青,;杨绍普,;马心坦. 线分布激励下功能梯度材料矩形板声辐射研究[J]. 北方交通大学学报, 2009, 0(1): 54-58 |
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| 作者姓名： | 徐步青, 杨绍普, 马心坦 |
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| 作者单位： | [1]北京交通大学机械与电子控制工程学院,北京100044; [2]石家庄铁道学院工程力学系,石家庄050043; [3]石家庄铁道学院机械工程分院,石家庄050043; [4]河南科技大学车辆与动力工程学院,洛阳471003 |
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| 基金项目： | 国家自然科学基金资助项目（10672107） |
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| 摘 要： | 根据Rayleigh公式,建立了预测功能梯度矩形板在无限障板中的声辐射模型并进行了理论研究.求解时,根据功能梯度复合材料矩形板的基本动力方程,首先利用模态叠加法求出线分布激励载荷作用下功能梯度板横向振动位移,然后对振动位移进行傅里叶变换,根据Rayleigh公式求解,最终得到远场声压近似解析解.通过数值仿真计算了不同阻尼、板厚、板宽和梯度指数下功能梯度板的辐射声压.对近场声辐射亦进行了数值积分分析.
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| 关 键 词： | 功能梯度材料 声辐射 Rayleigh法 矩形板 |
Sound Radiation From A Baffled FGMs Rectangular Plate with Line Excitation Force |
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| Affiliation: | XU Buqing,a,YANG Shaopu b,MA Xintan(1.School of Mechanical and Electronic Control Engineering,Beijing Jiaotong University,Beijing 100044,China;2a.Mechanics Engineering Department;2b.College of Mechanical Engineering,Shijiazhuang Railway Institute,Shijiazhuang 050043,China;3.Vehicle ＆ Motive Power Engineering College,Henan University of Science and Technology,Luoyang 471003,China) |
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| Abstract: | According to Rayleigh＇s formula,the model of radiated sound of a baffled functionally graded materials rectangular plate is set up and investigated theoretically.By basic dynamic equation of FGMs rectangular plate,the flexural displacement is obtained with modal analysis method excited by a line force.And through using Fourier transform and Rayleigh＇s formula,a far-field approximation solution of the radiated sound field is derived in a closed form.Finally,a parametric study is carried out to clarify the effects of the loss factor,the thickness,the width and the gradient index of FGMs rectangular plate by numerical calculation.And the near acoustic field is investigated with numerical integral method.The solution of Rayleigh＇s formula is feasible for the sound radiation from baffled FGMs plate. |
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| Keywords: | functional graded materials sound radiation rayleigh＇s method rectangular plate |
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