多阶梯厚圆盘横向弯曲耦合的振动特性

详细信息    查看全文 | 推荐本文 |

英文篇名：Study on the Coupled Vibration Characteristics of Multi-step Thick Disk Under Transverse Bending 作者：张宁宁 ; 耿森林 ; 吴胜举 英文作者：ZHANG Ningning;GENG Senlin;WU Shengju;Mathematics and Physics institute, Weinan Teachers University;Shaanxi Normal University Institute of Applied Acoustics; 关键词：Mindlin厚板理论 ; 多阶梯厚阶梯圆盘 ; 频率方程 ; 弯曲振动 英文关键词：Mindlin thick plate theory;;multi-step thick step disk;;frequency equation;;bending vibration 中文刊名：JSYY 英文刊名：Machine Design & Research 机构：渭南师范学院数理学院;陕西师范大学应用声学研究所; 出版日期：2019-04-20 出版单位：机械设计与研究 年：2019 期：v.35;No.180 基金：陕西省教育厅自然科学基金专项资助项目(18JK0284);; 渭南师范学院校级项目(17YKS08);渭南师范学院校级教改项目(JG201648) 语种：中文; 页：JSYY201902019 页数：6 CN：02 ISSN：31-1382/TH 分类号：71-76

摘要

实际应用中为获得大辐射声功率,通常采用多阶梯圆盘作为辐射体。从声学工程应用角度,基于Mindlin厚板理论结合边界条件和位移、转角、剪力和弯矩等连续性条件,推导了自由、固定、简支三种不同边界条件下的多阶梯厚圆盘的弯曲振动频率方程,利用数值计算法和有限元法对多阶梯厚圆盘振动特性和频率特性进行研究并进行实验测试,结果表明自由、固定、简支三种不同边界条件下厚板理论计算结果比薄板理论计算结果更精确,理论计算结果与有限元模拟结果及实验测试基本一致;各结构参数与材料参数对系统振动频率影响不同,随圆盘高度和基底高度的增加系统弯曲振动频率而增加,相比而言基底高度对频率影响较大;各部分材料的弹性模量对多阶梯厚圆盘的频率影响最大,研究结果为大功率弯曲振动辐射器的设计提供理论参考和频率调试依据。
        The multi-step disc is usually used as the radiator in practical application, in order to obtain the sound power of large radiation. From the point of view of acoustic engineering application, the free and fixed are derived based on the Mindlin thick plate theory combined with boundary condition and continuity condition. The bending vibration frequency equation of multi-step thick disk with simply supported three kinds of boundary conditions is studied by using numerical calculation method and finite element method. The results show that the vibration characteristics and frequency characteristics of multi-step thick disk are free and fixed. The theoretical results of thick plates under three simple supported boundary conditions are more accurate than those of thin plate theory. The theoretical results are in good agreement with the results of finite element simulation and experiment. The influence of structural parameters and material parameters on the vibration frequency of the system is different. The bending vibration frequency of the system also increases with the increase of the disc height and the substrate height, compared with the substrate height. The elastic modulus of each part of the material has the greatest influence on the frequency of the multi-step disk. The results provide a theoretical reference and a basis for the frequency adjustment for the design of the bending vibration radiator of the high-power radiator.

引文

[1]林书玉,张光斌.气介式功率超声复合换能器辐射特性研究[J].声学技术,2001(1):13-17.
    [2]刘建慧,马磊,姚然.基于ANSYS的超声切削传振杆结构优化设计研究[J].机械设计与研究,2014,30(3)100-103.
    [3]GALLEGO J A.Axisymmetric vibration of circular plate with stepped thickness[J].Journal of Sound and Vibration.1973,26(3):411-416.
    [4]张光斌.纵弯模式转换空气换能器的圆形弯曲振动辐射器研究[D]西安..陕西师范大学,2000.
    [5]刘婷,贺西平.多阶梯圆盘的设计[J].机械工程学报,2014,50(1):157-160.
    [6]付俊帆,秦慧斌,吕明.多环盘组合结构的横向弯曲耦合振动建模与求解[J].工程设计学报,2017,24(3):295-301.
    [7]曹志远.厚板动力学理论及其应用[M]北京:科学出版社,1983.
    [8]赵凌波.贺西平.刘志永.固定边界阶梯圆盘的设计及其振动特性计算[J].机械设计,2011,28(2):18-18.
    [9]宁景锋.贺西平.李娜.纵振激励频率对圆盘弯曲振动特性的影响[J].振动与冲击,2011,30(4):65-69.
    [10]吕明,王时英,轧刚.超声珩齿弯曲振动变幅器的位移特性[J].机械工程学报,2008,44(7):106-111.
    [11]张宁宁,潘营利,吴胜举.超声珩齿新型变幅器动力学特性研究[J].机械设计,2016,33(9):81-88.
    [12]王时英,吕明,轧刚.非谐环盘及变幅杆组成的变幅器动力学特性研究[J].声学学报,2008,33(5):462-468.
    [13]刘婷,宋旭霞,贺西平,等.阶梯圆盘复杂设计程序中参数初值的确定[J].云南大学学报:自然科学版,2011,12(6):60-65.
    [14]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.
    [15]张宁宁.基于Mindlin理论新型阶梯环型变幅器弯曲振动特性研究[J].科学技术与工程,2017,17(23):37-43.