文章摘要
张宁宁.基于Mindlin理论的厚阶梯圆盘弯曲振动特性研究[J].声学技术,2016,35(5):472~478
基于Mindlin理论的厚阶梯圆盘弯曲振动特性研究
Research on the flexural vibration characteristics of thick stepped circular plate based on the Mindlin theory
投稿时间:2015-10-12  修订日期:2016-01-20
DOI:10.16300/j.cnki.1000-3630.2016.05.016
中文关键词: Mindlin理论  厚阶梯圆盘  频率方程  弯曲振动
英文关键词: Mindlin theory  the thick circular plate  the frequency equation  the bending vibration
基金项目:陕西省教育厅自然科学专项(2015JK1250);渭南师范学院物理学专业综合建设项目(zz201437),渭南师范学院科研计划重点项目(14YKF004),渭南师范学院教育科学研究项目(2015JYKX019)
作者单位E-mail
张宁宁 渭南师范学院数理学院, 陕西渭南 714099 zhangning7892@163.com 
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中文摘要:
      阶梯圆盘辐射体因其辐射面积大、辐射效率高等优点在大功率超声领域获得了广泛的应用。从声学应用角度,基于Mindlin理论推导了厚阶梯圆盘在自由、固定、简支边界条件下的频率方程,并分别对频率方程进行数值求解,结果表明计算得到的频率与有限元模拟及实验测试结果基本相符。该结论为厚盘的弯曲振动辐射器的设计提供了理论参考。
英文摘要:
      For its advantages in large radiating area and high radiation efficiency, the stepped circular plate radiator has been widely used in the field of high power ultrasound. The frequency equations of the thick circular plate in free, fixed and simply supported boundary conditions are deduced based on Mindlin theory from the viewpoint of acoustic application, and the frequency equation is numerically solved. The results show that the calculated frequency accords basically with the finite element simulation and experimental measurement. This conclusion provides a reference for the design of the bending vibration radiator of thick circular plate and a basis for the frequency adjustment.
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