基于Mindlin理论新型阶梯环型变幅器弯曲振动特性研究
发布时间：2018-10-10 11:19
【摘要】：阶梯型辐射体具有辐射面积大、辐射效率高等优点,在大功率超声领域被广泛应用。在高频大功率声辐射条件下,薄盘的机械强度明显不足;因此应考虑用厚板。从声学工程力学应用角度研究,基于Mindlin理论推导了新型阶梯环形变幅器自由边界条件下的弯曲振动频率方程;并对频率方程进行数值求解和有限元模拟及实验测试;同时还研究了各结构参数及材料对变幅器频率的影响。结果表明,自由边界条件下,有限元模拟结果与厚板理论计算结果都比较接近实验测试结果,误差较小。当其他参数一定时,在厚板范围内,前三阶频率随圆盘基底厚度、圆盘厚度的增加而增加;随内半径和外径的增加减小;随阶梯半径的增大而增大。所取材料的前三阶有限元模拟频率与厚板理论计算结果误差较小,其中45号钢频率最大,而铜频率最小,铝频率居中,研究结论对大功率阶梯型辐射体及辐射器的设计和应用提供理论参考和频率调试依据。
[Abstract]:Stepped radiators are widely used in the field of high power ultrasound because of their advantages of large radiation area and high radiation efficiency. Under the condition of high frequency and high power acoustic radiation, the mechanical strength of the thin disk is obviously insufficient, so the thick plate should be considered. Based on the theory of Mindlin, the frequency equation of bending vibration is derived from the application of acoustical engineering mechanics, and the frequency equation is solved numerically, simulated by finite element method and tested experimentally. At the same time, the influence of structural parameters and materials on the frequency of the transducer is also studied. The results show that the results of finite element simulation and the theoretical calculation of thick plates are close to the experimental results under free boundary conditions, and the error is small. When other parameters are fixed, the first three order frequencies increase with the thickness of the substrate and the thickness of the disk, decrease with the increase of the inner radius and outer diameter, and increase with the increase of the step radius in the thick plate. The error between the first three order finite element simulation frequency of the material and the result of thick plate theory is small, among which 45 steel frequency is the largest, copper frequency is the least, and aluminum frequency is the middle. The results provide theoretical reference and frequency adjustment basis for the design and application of high power stepped radiators and radiators.
【作者单位】： 渭南师范学院数理学院;
【基金】：陕西省教育厅自然科学专项(15JK1250) 陕西省军民融合研究基金项目(17JMR35) 渭南师范学院校级项目(17YKS08);渭南师范学院校级教改项目(JG201648)资助
【分类号】：TB55
本文编号：2261569
[Abstract]:Stepped radiators are widely used in the field of high power ultrasound because of their advantages of large radiation area and high radiation efficiency. Under the condition of high frequency and high power acoustic radiation, the mechanical strength of the thin disk is obviously insufficient, so the thick plate should be considered. Based on the theory of Mindlin, the frequency equation of bending vibration is derived from the application of acoustical engineering mechanics, and the frequency equation is solved numerically, simulated by finite element method and tested experimentally. At the same time, the influence of structural parameters and materials on the frequency of the transducer is also studied. The results show that the results of finite element simulation and the theoretical calculation of thick plates are close to the experimental results under free boundary conditions, and the error is small. When other parameters are fixed, the first three order frequencies increase with the thickness of the substrate and the thickness of the disk, decrease with the increase of the inner radius and outer diameter, and increase with the increase of the step radius in the thick plate. The error between the first three order finite element simulation frequency of the material and the result of thick plate theory is small, among which 45 steel frequency is the largest, copper frequency is the least, and aluminum frequency is the middle. The results provide theoretical reference and frequency adjustment basis for the design and application of high power stepped radiators and radiators.
【作者单位】： 渭南师范学院数理学院;
【基金】：陕西省教育厅自然科学专项(15JK1250) 陕西省军民融合研究基金项目(17JMR35) 渭南师范学院校级项目(17YKS08);渭南师范学院校级教改项目(JG201648)资助
【分类号】：TB55
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1 薛开;王久法;李秋红;王威远;王平;;Mindlin矩形板在任意弹性边界条件下的振动特性分析[J];哈尔滨工程大学学报;2014年04期
，本文编号：2261569
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