液体中薄圆板弯曲振动特性的分析  

Analyse of the flexural vibration of the thin circular plates in the fluid

作　　者：郝君宇[1] 张小凤[1] 张光斌[1] 

机构地区：[1]陕西师范大学物理学与信息技术学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2012年第6期37-41,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：陕西省自然科学基金资助项目(2010JM1008);西安市科技计划项目(CXY1009(2));中央高校基本科研业务费专项资金项目(GK200902056)

摘　　要：从薄圆板弯曲振动理论出发,利用在固定边界条件下液体中薄圆板弯曲振动的频率和附加有效质量因子的解析表达式,分别计算了薄圆板在空气中和液体中的振动频率,并采用有限元仿真方法,建立了薄圆板在液体中弯曲振动的数值模型,分析了薄圆板材料和不同液体参数对其弯曲振动特性的影响.仿真研究表明:不同液体导致薄圆板弯曲振动的附加质量不同,进而影响薄圆板弯曲振动的频率.通过测量在空气中和在液体中薄圆板弯曲振动的频率,可以求出液体的密度.From the theory of flexural vibration of the thin circular plate, the analytic expressions of the vibration frequency and added virtual mass incremental factors for flexural vibration circular plate in fixed boundary conditions are given. The vibration frequency of thin circular plate are calculated in the air and fluid. Based on finite element method, the numerical simulation model of the bending vibration of the thin circular plate in the fluid is built. The characteristics of circular plate materials and the thin plate bending vibration in the different fluid are analysed. Simulation results show that different fluid leads to the different additional mass to the bending vibration of thin circular plate, thus will affect the frequency of the bending vibration of thin circular plate. By measuring the frequency of thin circular plate bending vibration in the air and the fluid, the density of the fluid can be obtained. Our results will provide theoretical basis for measuring the fluid density using the flexural vibration of the thin circular plate.

关 键 词：薄圆板 附加有效质量因子 弯曲振动 振动频率 

分 类 号：O326[理学—一般力学与力学基础] O426.9[理学—力学]