基于耦合声场建模的膨胀腔消声器声学性能分析及试验
PDF下载 (3282)许 强,陈跃华,张 刚,冯志敏,刘伊凡.基于耦合声场建模的膨胀腔消声器声学性能分析及试验[J].宁波大学学报(理工版),2021,34(2):115-120.DOI:
XU Qiang,CHEN Yuehua,ZHANG Gang,FENG Zhimin,LIU Yifan.Acoustic analysis and experiment of expansion chamber muffler based on coupled sound field modeling method[J].Journal of Ningbo University(Natural Science & Engineering Edition),2021,34(2):115-120.DOI:
| Title: | Acoustic analysis and experiment of expansion chamber muffler based on coupled sound field modeling method |
| 作者: | 许 强, 陈跃华, 张 刚, 冯志敏, 刘伊凡 |
| Author(s): | XU Qiang, CHEN Yuehua, ZHANG Gang, FENG Zhimin, LIU Yifan |
| 关键词: | 膨胀腔消声器; 耦合声场; 切比雪夫-傅里叶级数; 试验验证 |
| Keywords: | expansion chamber muffler; coupled sound field; Chebyshev-Fourier series; experimental verification |
| 分类号: | O422.2 |
| 文献标识码: | A |
| 摘要: | 针对圆柱形膨胀腔消声器三维建模及声学性能分析问题, 提出一种基于切比雪夫变分原理的耦合声场建模方法, 建立三维圆柱形膨胀腔消声器理论模型并搭建试验台架, 传递损失试验结果验证了理论模型的准确性. 将膨胀腔消声器内部声场分解为多个子声场, 基于子声场间压力与质点振速连续性条件, 推导声场耦合变分公式, 构建子声场拉格朗日泛函. 将子声场声压函数展开为切比雪夫-傅里叶级数形式, 通过瑞利-里兹法求解膨胀腔消声器频率、声压响应及传递损失. 计算并对比分析扩张比、扩张腔长度、进出口管偏置对膨胀腔消声器消声性能的影响. 结果表明: 扩张比增大会有效提高消声器在低频段的消声性能, 进出口管的偏置对消声器消声性能影响很小. |
| Abstract: | Aiming at the three-dimensional modeling and acoustic performance analysis of the muffler of cylindrical expansion chamber, a coupled sound field modeling method based on Chebyshev’s variational principle is proposed to establish a three-dimensional theoretical model of the cylindrical expansion chamber muffler. The accuracy of the theoretical model is verified on the test bench and by the transmission loss test results. The internal sound field of the expansion chamber muffler is decomposed into several sub-acoustic fields. Upon the continuous conditions of pressure and particle velocity of vibration between sub-acoustic fields, the variational formula of sound field coupling is constructed to complete the Lagrangian energy function of sub-acoustic field. The sound pressure function in each sub-acoustic field is generalized to the form of Chebyshev-Fourier series, and the Lagrangian function of the expansion chamber muffler’s is solved using Rayleigh Ritz method. As a result, the natural frequency, the sound pressure response and transmission loss of the expansion chamber muffler are predicted. By calculating and comparing the effects of expansion ratio, expansion cavity length, inlet and outlet offset on the performance of expansion cavity mufflers, some useful findings can be drawn, providing helpful references for the design of complex mufflers. |
| 参考文献 /References: | [1] 赵松龄. 噪声的降低与隔离(下册)[M]. 上海: 同济大学出版社, 1989:63-70. [2] 徐航手, 季振林, 康钟绪. 抗性消声器传递损失预测的三维时域计算方法[J]. 振动与冲击, 2010, 29(4):107- 110; 234. [3] 方智, 季振林. 穿孔管阻性消声器横向模态和声学特性计算与分析[J]. 振动与冲击, 2014, 33(7):138-146. [4] 蔡超, 宫镇, 赵剑, 等. 拖拉机抗性消声器声学子结构声传递矩阵研究[J]. 农业机械学报, 1994, 25(2):65-72. [5] Herrin D W, Hua X, Zhang Y T, et al. The proper use of plane wave models for muffler design[J]. SAE International Journal of Passenger Cars - Mechanical Systems, 2014, 7(3):927-932. [6] 张袁元, 李舜酩, 贺岩松, 等. 摩托车整车噪声分析与消声器改进[J]. 振动与冲击, 2011, 30(2):263-266. [7] 葛隽宇, 张杰, 姚新改, 等. 并联偏置扩张腔消声器综合性能研究[J]. 煤炭技术, 2018, 37(9):243-246. [8] Du J T, Liu Y, Zhang Y F. Influence of boundary restraint on sound attenuation performance of a duct-membrane silencer[J]. Applied Acoustics, 2016, 105:156-163. [9] Liu Y, Du J T. Coupling effects of boundary restraining stiffness and tension force on sound attenuation of a cavity-backed membrane duct silencer[J]. Applied Acoustics, 2017, 117:150-159. [10] Jin G Y, Chen Y H, Liu Z G. A Chebyshev-Lagrangian method for acoustic analysis of a rectangular cavity with arbitrary impedance walls[J]. Applied Acoustics, 2014, 78:33-42. [11] 陈跃华, 靳国永, 刘志刚, 等. 非规则封闭空间声场建模的Chebyshev-变分法及其固有声学特性分析[J]. 声学学报, 2017, 42(6):694-702. [12] 张海澜. 理论声学[M]. 北京: 高等教育出版社, 2007: 183-186. [13] 杜敬涛. 任意边界条件下结构振动封闭声场及其耦合系统建模方法研究[D]. 哈尔滨: 哈尔滨工程大学, 2009:110-112. [14] Chen Y, Jin G, Liu Z. A domain decomposition method for analyzing a coupling between multiple acoustical spaces (L)[J]. Journal of the Acoustical Society of America, 2017, 141(5):3018. [15] Chen Y, Jin G, Feng Z, et al. Modeling and vibro-acoustic analysis of elastically restrained panel backed by irregular sound space[J]. Journal of Sound and Vibration, 2017, 409: 201-216. [16] 陆斌, 陈跃华, 冯志敏, 等. 基于Chebyshev-变分法的复杂开口形状矩形薄板弯曲振动特性分析[J]. 振动与冲击, 2020, 39(2):178-187. [17] Bilawchuk S, Fyfe K R. Comparison and implementation of the various numerical methods used for calculating transmission loss in silencer systems[J]. Applied Acoustics, 2003, 64(9):903-916. [18] 毕嵘. 汽车进排气消声器性能的数值仿真研究[D]. 合肥: 合肥工业大学, 2007:44-46. |
| 备注/Memo: | 收稿日期: 2020-08-28. 宁波大学学报(理工版)网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金(51505237); 浙江省自然科学基金(LY20E050006); 宁波市自然科学基金(2017A610081). 宁波大学学报(理工版)网址:http://journallg.nbu.edu.cn/第一作者: 许强(1995-), 男, 江苏苏州人, 在读硕士研究生, 主要研究方向: 振动与噪声控制. E-mail: xq229929@163.com *通信作者: 陈跃华(1986-), 男, 湖南常德人, 副教授, 主要研究方向: 振动与噪声控制. E-mail: chenyuehua@nbu.edu.cn |