弯振盘（板）的辐射声场、辐射阻抗的计算及实验研究

项目名称： 弯振盘（板）的辐射声场、辐射阻抗的计算及实验研究

项目编号： No.10874107

项目类型： 面上项目

立项/批准年度： 2009

项目学科： 轻工业、手工业

项目作者： 贺西平

作者单位： 陕西师范大学

项目金额： 39万元

中文摘要： 强功率声辐射器在空气中应用日益广泛，以前的文献资料对其基础理论研究并不完善。本课题中，求解弯振盘、穿孔板在边界自由、简支、固定条件下的盘或板的振动位移分布，推导其在空间辐射声压分布表达式，确定声场分布；利用有限元计算软件，研究自由、固定边界条件下方形板振动位移的数值拟合解，并确定其声场分布；把阶梯盘分解为阶梯环和平面区域两部分，进而推导出整个阶梯盘在空间形成的声压分布表达式，确定其声场分布；对弯振盘、穿孔板、阶梯盘、方形板，从结构振动与辐射的角度，建立清晰的计算模型，根据振速不均匀分布辐射阻抗的定义，推导其辐射阻抗表达式，并研究计算其数值解；研究各种边界条件下的弯振厚盘振动位移的数值拟合解，确定其声场分布，并研究计算其辐射阻抗数值解。加工、试制各种盘、板（包括换能器、变幅杆等），进行频率测试和声场实验测试。揭示这些辐射器的声场分布与其几何尺寸之间的关系，为设计、优化、高效应用提供理论参考。

中文关键词： 弯曲振动；弯曲振动厚圆盘；声场分布；辐射阻抗；数值计算

英文摘要： High power ultrasonic radiators are widely used day by day in gases, but the fundamental theory on this kind of radiator has not been established systematically. In this project, flexural vibration displacement distributions of perforated panel or flexural vibration circle plate will be solved under the boundary conditions being free, simply supported and clamped, and the expressions of their radiation pressures will be derived; Fitting method solution of flexural vibration displacement and acoustic field of squareness panel will be studied; Stepped circle plate decomposed into some stepped circular rings and planar regions, the radiation pressure of the stepped circle plate will be derived; Calculation models will be built for the flexural circle thin plate, perforated panel, stepped circle plate and squareness panel from the view of vibration and sound radiation, furthermore, the expressions of radiation impedances and their numerical solutions will be derived and studied in terms of the definition of uneven vibration velocity distribution; Fitting method solution for flexural vibration displacement and acoustic field distribution of flexural thick circle plate will be studied under various boundary conditions, moreover, its radiation impedance with numerical solution will be also studied. Test of natural frequencies and acoustic fields will be carried out after processing of various circle plates and panels (including of transducer, solid horn, etc.). To reveal the regular connection between acoustic field and geometric dimension of above radiators and to provide references for designing and high efficient applications are the purposes of this project.

英文关键词： flexural vibration;flexural vibration thick circle plate;acoustic field distribution;radiation impedance;numerical calculation