Vibration and noise prediction method for a diaphragm pump based on the transfer matrix theory

CHEN Siyu1, ZHAO Kai2, WU Haijun1

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (18) : 329-336.

PDF(1437 KB)
PDF(1437 KB)
Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (18) : 329-336.

Vibration and noise prediction method for a diaphragm pump based on the transfer matrix theory

  • CHEN Siyu1, ZHAO Kai2, WU Haijun1
Author information +
History +

Abstract

Diaphragm pump is power device of the household water purifier, and its vibration and noise have a negative impact on the users. Constructing an effective vibration and noise prediction method for diaphragm pumps can achieve accurate prediction of noise during the design stage of the pump, thereby reducing design costs. According to the working principle of the pump, this paper constructs a dynamic model of transverse vibration based on transfer matrix theory for the shafting of the diaphragm pump, and establishes a calculation method for the natural frequency of the shafting. With introducing the extended transfer matrix and establishing an equivalent model of the external excitation of the pump, a frequency response analysis method for the force exerted by the shafting on the pump housing under typical working conditions is developed. Taking the force as input, finite element software is used to calculate the radiated sound field of the pump housing. An experimental test of the radiated noise of the pump housing is carried out. The result shows that the average sound pressure level of the pump housing is in good consistency with the simulation results, which demonstrates the accuracy of the equivalent modeling method proposed in the paper and has guiding significance for the low noise optimization design and analysis of diaphragm pumps.

Key words

transfer matrix theory / diaphragm pump / transverse vibration / noise analysis

Cite this article

Download Citations
CHEN Siyu1, ZHAO Kai2, WU Haijun1. Vibration and noise prediction method for a diaphragm pump based on the transfer matrix theory[J]. Journal of Vibration and Shock, 2024, 43(18): 329-336

References

[1] KRAUS M, JUHÁSOVÁ ŠENITKOV I. Indoor Noise Loading in Residential Prefabricated Buildings[J]. IOP Conference Series: Materials Science and Engineering, 2017, 245: 082028.
[2] ASAKURA T, TSUJIMURA S. Effect of individual attributes on allowable level of household sounds inside a residential space[J]. Applied Acoustics, 2023, 205.
[3] CHEN Y, LI M, LU J, 等. Influence of residential indoor environment on quality of life in China[J]. Building and Environment, 2023, 232: 110068.
[4] 张洪烈, 任重义, 曹冠忠, 等. 悬挂式增压泵净水机减振降噪分析[C]//2022年中国家用电器技术大会论文集. 青岛经济技术开发区海尔热水器有限公司;数字化家电国家重点实验室, 2023: 8.
ZHANG Hong-lie, REN Zhong-yi, CAO Guan-zhong, 等. Analysis of Vibration and Noise Reduction of Water Purifier with Suspended Pump[C]// Proceedings of the 2022 China Household Appliances Technology Conference. Qingdao Economic and Technological Development Zone Haier Water Heater Co., Ltd; State Key Laboratory of Digital Home Appliances, 2023:8.
[5] WANG D, WANG W, HU J, 等. Experimental study of cavitation noise characteristics in a centrifugal pump based on power spectral density and wavelet transform[J]. Flow Measurement and Instrumentation, 2023, 94: 102481.
[6] CHOI J S, MCLAUGHLIN D K, THOMPSON D E. Experiments on the unsteady flow field and noise generation in a centrifugal pump impeller[J]. Journal of Sound and Vibration, 2003, 263(3): 493-514.
[7] 胡军华, 武朝, 石兆存. 斜盘连杆式疏水泵组的噪声与振动试验[J]. 噪声与振动控制, 2013, 33(2): 201-204.
HU Jun-hua, WU Chao, SHI Zhao-cun. Noise and Vibration Experiment of a Swashplate-rod Bilge Pump Set[J]. Noise and Vibration Control, 2013, 33(2): 201-204.
[8] XU B, YE S, ZHANG J. Numerical and experimental studies on housing optimization for noise reduction of an axial piston pump[J]. Applied Acoustics, 2016, 110: 43-52.
[9] 吴江海, 何涛, 尹志勇. 基于FEM/BEM的船用水泵流动诱发振动噪声计算分析[J]. 舰船科学技术, 2016, 38(9): 49-55.
WU Jiang-hai, HE Tao, YIN Zhi-yong. FEM/BEM analysis for flow induced noise and vibration of a centrifugal pump[J]. Ship Science and Technology, 2016, 38(9): 49-55.
[10] 项贻强, 高超奇, 杨云深. 两端任意约束的弹性支撑梁在移动荷载下的动力响应[J]. 哈尔滨工业大学学报, 2022, 54(3): 12-19.
XIANG Yi-qiang, GAO Chao-qi, YANG Yun-shen. Dynamic Response of Elastic Supported Beams with Arbitrary Constraints at Both Ends under Moving Loads[J]. Journal of Harbin Institute of Technology. 2022, 54(3): 12-19
[11] SHEN M, WANG Q, WANG R. Investigation on the vibration mechanisms of a rotating FG-GPLRC shaft-disk-shell combined system[J]. Structures, 2023, 56: 105049.
[12] 张雷克, 范宇宏, 张金剑, 等. 水轮发电机组横/轴有限元振动分析[J]. 振动与冲击, 2022, 41(14): 64-69+98.
ZHANG Lei-ke, FAN Yu-hong, ZHANG Jin-jian, et al. Finite element analysis on the transversal / axial vibration of a hydraulic generating set[J]. Journal of Vibration and Shock, 2022, 41(14): 64-69+98.
[13] RUI X, ZHANG J, WANG X, et al. Multibody system transfer matrix method: The past, the present, and the future[J]. International Journal of Mechanical System Dynamics, 2022, 2(1): 3-26.
[14] FEYZOLLAHZADEH M, BAMDAD M. An efficient technique in transfer matrix method for beam-like structures vibration analysis[J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2022, 236(14): 7641-7656.
[15] CHEN G, ZENG X, LIU X, 等. Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs[J]. Applied Mathematical Modelling, 2020, 87: 152-170.
[16] 马一江, 李园园, 陈国平, 等. 含多条裂纹变截面简支梁的自由振动[J]. 振动与冲击, 2019, 38(19): 149-154.
MA Yi-jiang, LI Yuan-yuan, CHEN Guo-ping, et al. Free vibration of a variable cross-section simple supported beam with multi-crack[J]. Journal of Vibration and Shock, 2019, 38(19): 149-154.
[17] 程胜杰, 李娟, 焦邵华. 传递矩阵法验证发电机轴系扭振特性[J]. 电气技术, 2019, 20(10): 19-24.
CHENG Sheng-jie, LI Juan, Jiao Shao-hua. Transfer matrix method verifies the torsional vibration characteristics of generator shafting[J], Electrical Engineering, 2019, 20(10): 19-24.
[18] LU H, RUI X, ZHANG X. Transfer matrix method for linear vibration analysis of flexible multibody systems[J]. Journal of Sound and Vibration, 2023, 549: 117565.
[19] 贠来峰, 芮筱亭, 陆毓琪. 用扩展传递矩阵法计算多体系统的稳态响应[J]. 南京理工大学学报(自然科学版), 2006(4): 419-423.
YUN Lai-feng, Rui Xiao-ting, LU Yu-qi. Extended Transfer Matrix Method to Solute Steady State Response of Multibody System[J]. Journal of Nanjing University of Science and Technology, 2006(4): 419-423.
[20] 张策. 机械动力学[M]. 第二版. 北京: 高等教育出版社, 2008.
ZHANG Ce. Machinery Dynamics[M]. Second Edition. Beijing: Higher Education Press, 2008.
[21] 芮筱亭. 多体系统传递矩阵法及其应用[M]. 北京: 科学出版社, 2008.
RUI Xiao-ting, TRANSFER MATRIX METHOD OF MULTIBODY SYSTEM AND ITS APPLICATIONS[M], Beijing: Science Press, 2008.
[22] GB/T 3767. 声学 声压法测定噪声源声功率级和声能量级 反射面上方近似自由场的工程法[S]. 北京: 中国国家标准化管理委员会, 2016.
GB/T 3767. Acoustics—Determination of sound power levels and sound energy levels of noise sources using sound pressure—Engineering methods for an essentially free field over a reflecting plane[S]. Beijing: Standardization Administration of the P.R.C., 2016
PDF(1437 KB)

242

Accesses

0

Citation

Detail

Sections
Recommended

/