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指数型热声谐振管的固有频率
引用本文:冯和英, 彭叶辉, 蒋玲莉. 指数型热声谐振管的固有频率[J]. 声学学报, 2017, 42(5): 625-632. DOI: 10.15949/j.cnki.0371-0025.2017.05.014
作者姓名:冯和英  彭叶辉  蒋玲莉
作者单位:1. 湖南科技大学 机械设备健康维护湖南省重点实验室 湘潭 411201;
基金项目:国家自然科学基金项目(51405157,51476052)和湖南省教育厅项目(14C0433,14B057)资助
摘    要:采用计算流体力学软件Fluent模拟研究了11种不同形状参数的指数型热声谐振管内二维非线性声场特性,分析了驱动频率和驱动强度对管内声压演化过程及固有频率的影响,并探索了指数管的固有频率与理论计算谐频之间的关系.研究发现:当驱动频率偏离谐振管固有频率时,管内将出现明显的

关 键 词:热声学  声激励  指数型谐振管  频率测量
收稿时间:2016-01-13
修稿时间:2016-09-16

Natural frequency for exponential shaped thermoacoustic resonator
FENG Heying, PENG Yehui, JIANG Lingli. Natural frequency for exponential shaped thermoacoustic resonator[J]. ACTA ACUSTICA, 2017, 42(5): 625-632. DOI: 10.15949/j.cnki.0371-0025.2017.05.014
Authors:FENG Heying  PENG Yehui  JIANG Lingli
Affiliation:1. Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology Xiangtan 411201;2. School of Mathematics and Computational Science, Hunan University of Science and Technology Xiangtan 411201
Abstract:The two-dimensional nonlinear acoustic field of eleven exponential shaped resonators was simulated with a computational fluid dynamics software-Fluent. The influence of driving frequency and driving intensity on pressure in resonator as well as its natural frequency was studied. The relationship between natural frequency and theoretical calculation resonance frequency was also explored. It is found that beating phenomena can be observed in the resonator when the driving frequencies deviate from the natural frequency. Moreover, the natural frequency of resonator increased with the increasing of driving intensity, which showed a hard spring effect. However, the driving intensity play little effect on natural frequency and the natural frequencies are smaller than the theoretical calculation values in any driving intensity. Meanwhile, a formula between the natural frequency and its first-order resonance frequency from theoretical calculation was revealed for all these exponential shaped resonators in consideration. It is also found that the highest pressure amplitude and highest pressure ratio can be obtained from the exponential shaped resonator of m=2.8 under the same driving intensity. Moreover, the formula between natural frequency and the theoretical calculation resonance frequency for the tube of m=2.8 is slightly different from others tubes in consideration. 
Keywords:Thermoacoustic  acoustic excitation  exponential shaped resonator  frequency measurement
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