减压阀噪声研究进展
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摘要
为了全面深刻理解减压阀噪声的具体生成过程及现有研究基础,分析了减压阀内噪声产生的机理,总结了目前国内外减压阀噪声的研究方法,并从来源降噪和传播降噪两方面回顾了国内外降噪技术的研究现状.经过分析总结,探讨了目前研究存在的主要问题:减压阀内流动复杂、旋涡流动发生位置不明确和高速射流相互作用的影响不确定等;指出未来方向应在综合理论分析、试验研究和数值模拟的基础上,确定减压阀内噪声源位置并分析噪声指向性,明确降噪机理,进而研究降噪技术,实现根源降噪.未来对减压阀噪声的控制应从流动机理和结构创新同时着手,进而推出一套普适性低噪声阀门设计理论.研究减压阀内噪声可以为有效并针对性地降低噪声提供可靠依据.
In order to comprehensively understand the specific noise generation process inside pressure reducing valves( PRV) and its existing research outcomes,the generation of noise in PRV with its research methods in China and abroad was summarized. Then,the current research status of noise reduction technologies was reviewed from two aspects: source and propagation. Based on analysis and summarization,the major existing problems in current noise reduction technologies were discussed,including complex flow situation in PRV,ambiguity of vortex location and uncertain of interaction between high-velocity jet flows and so on. In the future investigation of noise reduction in PRV,it is advised that the position of noise source in valve should be determined firstly through combination of theoretical analysis,experiment and numerical analysis. Then,the directivity of noise in the valve can be clarified. Thereby,a further study of noise reduction mechanism and technology can be launched. Finally,noise in PRV can be reduced to the utmost extent. In the future,control of noise inside PRV should start with flow mechanism and structural innovation,and then a universal valve design theorywith low noise will be put forward. Investigation into noise characteristics in pressure reducing valve can provide a reliable basis for reducing noise effectively.
In order to comprehensively understand the specific noise generation process inside pressure reducing valves( PRV) and its existing research outcomes,the generation of noise in PRV with its research methods in China and abroad was summarized. Then,the current research status of noise reduction technologies was reviewed from two aspects: source and propagation. Based on analysis and summarization,the major existing problems in current noise reduction technologies were discussed,including complex flow situation in PRV,ambiguity of vortex location and uncertain of interaction between high-velocity jet flows and so on. In the future investigation of noise reduction in PRV,it is advised that the position of noise source in valve should be determined firstly through combination of theoretical analysis,experiment and numerical analysis. Then,the directivity of noise in the valve can be clarified. Thereby,a further study of noise reduction mechanism and technology can be launched. Finally,noise in PRV can be reduced to the utmost extent. In the future,control of noise inside PRV should start with flow mechanism and structural innovation,and then a universal valve design theorywith low noise will be put forward. Investigation into noise characteristics in pressure reducing valve can provide a reliable basis for reducing noise effectively.
引文
[1]陆培文.实用阀门设计手册[M].北京:机械工业出版社,2012.
[2] JIN Z J,CHEN F Q,QIAN J Y,et al. Numerical analysis of flow and temperature characteristics in a high multi-stage pressure reducing valve for hydrogen refueling station[J]. International journal of hydrogen energy,2016,41(12):5559-5570.
[3]徐晓刚.高压差迷宫式多级降压调节阀内部流动特性分析研究[D].兰州:兰州理工大学,2013.
[4] SHI Y,MARTIN W H. Noise induced hearing loss in China:a potentially costly public health issue[J].Journal of otology,2013,8(1):51-56.
[5]夏勇,王春林,杨晓勇,等.双吸泵作液力透平内部流动诱导噪声数值分析[J].排灌机械工程学报,2016,34(6):483-489.XIA Yong,WANG Chunlin,YANG Xiaoyong,et al. Numerical investigation of noise induced by internal flow of double-suction pump as hydraulic turbine[J]. Journal of drainage and irrigation machinery engineering,2016,34(6):483-489.(in Chinese)
[6]章嘉炎.国外阀门噪声的研究[J].流体机械,1981(4):54-58.ZHANG Jiayan. Research on noise of foreign valves[J].Fluid machinery,1981(4):54-58.(in Chinese)
[7]周盼,张权,率志君,等.离心泵进水口形式设计及其对振动噪声的影响[J].排灌机械工程学报,2015,33(1):16-19,54.ZHOU Pan,ZHANG Quan,SHUAI Zhijun,et al. Inlet design and it's influence on vibration and noise centrifugal pump[J]. Journal of drainage and irrigation machinery engineering,2015,33(1):16-19,54.(in Chinese)
[8]赵松龄.噪声的降低与隔离(下册)[M].上海:同济大学出版社,1989.
[9]杜功焕,朱哲民,龚秀芬.声学基础(下册)[M].上海:上海科学技术出版社,1981.
[10] KIESBAUER J, VNUCEC D. Improvement of IEC60534-8-3 standard for noise prediction in control valves[J]. Hydrocarbon processing,2008,87(1):89-96.
[11] FAN L H,CAI G H. Exploration on aerodynamic noise characteristics for control valve of steam turbine[J]. Applied mechanics&materials,2012,224:395-400.
[12]刘翠伟,李玉星,王武昌,等.输气管道气体流经阀门气动噪声产生机理分析[J].振动与冲击,2014,33(2):152-157.LIU Cuiwei,LI Yuxing,WANG Wuchang,et al. Analysis on the mechanism of aero-acoustic noise generated by gas flow through valves of natural gas pipelines[J].Journal of vibration and shock,2014,33(2):152-157.(in Chinese)
[13] OKITA K,MIYAMOTO Y,KATAOKA T,et al. Mechanism of noise generation by cavitation in hydraulic relief valve[C]//Journal of physics conference series,2015:012104.
[14]娄燕鹏.高压降多级降压疏水阀及阀控管道振动噪声特性研究[D].兰州:兰州理工大学,2016.
[15] AMINI A,OWEN I. A practical solution to the problem of noise and vibration in a pressure-reducing valve[J].Experimental thermal and fluid science,1995,10(1):136-141.
[16] JANZEN V P,SMITH B A W,LULOFF B V,et al. Acoustic noise reduction in large-diameter steam-line gate valves[C]//Proceedings of the ASME Pressure Vessels and Piping Conference. San Antonio,USA:[s. n.],2007.
[17]郑海.汽轮机高压旁路阀调节特性的研究以及噪音分析[D].兰州:兰州理工大学,2012.
[18] ZENG L F,LIU G W,MAO J R,et al. Flow-induced vibration and noise in control valve[J]. Journal of mechanical engineering science,2015,229(18):3368-3377.
[19]何涛,郝夏影,王锁泉,等.低噪声控制阀优化设计及试验验证[J].船舶力学,2017,21(5):642-650.HE Tao,HAO Xiaying,WANG Suoquan,et al. Optimization design and experimental verification on low noise control valve[J]. Journal of ship mechanics,2017,21(5):642-650.(in Chinese)
[20] ZHENG H,YAN F,LU C,et al. Optimization design of the valve spring for abnormal noise control in a singlecylinder gasoline engine[J]. Proceedings of the institution of mechanical engineers part D:journal of automobile engineering,2016,231(2):204-213.
[21] AKINORI T,KEITA O M,SHIRO T D,et al. Development of numerical analysis method of flow-acoustic resonance in stub pipes of safety relief valves[J]. Journal of nuclear science&technology,2012,49(8):793-803.
[22] YONEZAWA K,OGAWA R,OGI K,et al. Flow-induced vibration of a steam control valve[J]. Journal of fluids&structures,2012,35(776):76-88.
[23] WEI L,ZHANG M,JIN Z J,et al. Numerical analysis of aerodynamic noise in a high parameter pressure reducing valve[J]. Applied mechanics&materials,2013,397:274-277.
[24] QIAN J Y,WEI L,JIN Z J,et al. CFD analysis on the dynamic flow characteristics of the pilot-control globe valve[J]. Energy conversion&management,2014,87:220-226.
[25] SCHMITT M,FROUZAKIS C E,TOMBOULIDES A G,et al. Direct numerical simulation of the effect of compression on the flow,temperature and composition under engine-like conditions[J]. Proceedings of the combustion institute,2015,35(3):3069-3077.
[26] WEI L,ZHU G,QIAN J,et al. Numerical simulation of flow-induced noise in high pressure reducing valve[J].Plos one,2015,10(6):e0129050.
[27] QIAN J Y,LIU B Z,JIN Z J,et al. Numerical analysis of flow and cavitation characteristics in a pilot-control globe valve with different valve core displacements[J].Journal of Zhejiang University Science A(applied physics&engineering)2016,17(1):54-64.
[28] LIU Q F,LI Y Z,ZHANG H,et al. ICONE23-1262 experiment study of the thermal characteristics of the head of the direct action solenoid valve[C]//Proceedings of the 23rd International Conference on Nuclear Engineering,2015.
[29] GUO J,CAO Y,ZHANG W,et al. Analysis of engine vibration and noise induced by a valve train element combined with the dynamic behaviors[J]. Journal of engineering for gas turbines&power,2016,38(9):1-11.
[30] WANG P,LIU Y. Influence of a circular strainer on unsteady flow behavior in steam turbine control valves[J].Applied thermal engineering,2017,115:463-476.
[31] CHEN F Q,ZHANG M,QIAN J Y,et al. Thermo-mechanical stress and fatigue damage analysis on multistage high pressure reducing valve[J]. Annals of nuclear energy,2017,110:753-767.
[32] ALENIUS E,BOM M,FUCHS L. Large eddy simulations of acoustic-flow interaction at an orifice plate[J].Journal of sound&vibration,2015,345:162-177.
[33] HABIBI K,MONGEAU L. Prediction of sound absorption by a circular orifice termination in a turbulent pipe flow using the Lattice-Boltzmann method[J]. Applied acoustics,2015,87:153-161.
[34] JIA X H,LIU B X,FENG J M,et al. Influence of an orifice plate on gas pulsation in a reciprocating compressor piping system[J]. Proceedings of the institution of mechanical engineers. part E:journal of process mechanical engineering,2013,229(1):64-77.
[35] QIAN J Y,ZHANG M,LEI L N,et al. Mach number analysis on multi-stage perforated plates in high pressure reducing valve[J]. Energy conversion&management,2016,119:81-90.
[36] QIAN J Y,WEI L,ZHU G R,et al. Transmission loss analysis of thick perforated plates for valve contained pipelines[J]. Energy conversion and management,2016,109:86-93.
[37] TEMIZ M A,TOURNADRE J,ARTEAGA I L,et al.Non-linear acoustic transfer impedance of micro-perforated plates with circular orifices[J]. Journal of sound&vibration,2016,366:418-428.
[38] LAWN C. The acoustic impedance of perforated plates under various flow conditions relating to combustion chamber liners[J]. Applied acoustics, 2016, 106:144-154.
[39]何志霞,张鑫,陈驭航,等.单孔孔板水力空化特性的可视化与数值模拟[J].江苏大学学报(自然科学版),2017,38(4):416-422.HE Zhixia,ZHANG Xin,CHEN Yuhang,et al. Visualization and numerical simulation of hydrodynamic cavitation in single hole orifice plate[J]. Journal of Jiangsu University(natural science edition),2017,38(4):416-422.(in Chinese)
[40] SACK S, ABOM M. Investigation of orifice aeroacoustics by means of multi-port methods[J]. Journal of sound and vibration,2017,407:32-45.
[41] MAKARYANTS G M,SVERBILOV V Y,PROKOFIEV A B,et al. The tonal noise reduction of the proportional pilot-operated pneumatic valve[C]//Proceedings of the19th International Congress on Sound and Vibration,2012.
[42]刘利杰.某调节阀的气动噪声研究[D].哈尔滨:哈尔滨工程大学,2013.
[43]王干新.调节阀中采用不同内构件的降噪技术研究[D].上海:华东理工大学,2015.
[44] LI J,ZHAO S. Optimization of valve opening process for the suppression of impulse exhaust noise[J]. Journal of sound and vibration,2017,389:24-40.
[45] STADNIK D M,IGOLKIN A A,SVERBILOV V Y,et al. The muffler performance effect on pressure reducing valve dynamics[J]. Procedia engineering,2017,176:706-717.
[46]何涛,王秋波,王锁泉,等.低噪声迷宫式控制阀设计原理及数值分析[J].船舶力学,2017,21(2):127-137.HE Tao,WANG Qiubo,WANG Suoquan,et al. Low noise design principle and numerical analysis on labyrinth control valves[J]. Journal of ship mechanics,2017,21(2):127-137.(in Chinese)
[47] ANDREINI A,BIANCHINI C,FACCHINI B,et al.Assessment of numerical tools for the evaluation of the acoustic impedance of multi-perforated plates[C]//Proceedings of the ASME 2011 Turbo Expo:Turbine Technical Conference and Exposition,2011:1065-1077.
[48] MIMANI A, MUNJAL M L. Acoustical behavior of single inlet and multiple outlet elliptical cylindrical chamber muffler[J]. Noise control engineering journal,2012,60(5):605-626.
[49] ANTEBAS A G,DENIA F D,PEDROSA A M,et al. A finite element approach for the acoustic modeling of perforated dissipative mufflers with non-homogeneous properties[J]. Mathematical and computer modelling,2013,57(7/8):1970-1978.
[50] LI J. Transmission loss of variable cross section apertures[J]. Journal of vibration&acoustics,2014,136(136):1-5.
[51] SHEN C,XIN F,LU T. Transmission loss of orthogonally stiffened laminated composite plates[J]. Journal of mechanical science&technology,2015,29(1):59-66.
[52] ARUNKUMAR M P,JAGADEESH M,PITCHAIMANI J,et al. Sound radiation and transmission loss characteristics of a honeycomb sandwich panel with composite facings:effect of inherent material damping[J]. Journal of sound and vibration,2016,383:221-232.
[53] OLIAZADEH P,FARSHIDIANFAR A. Analysis of different techniques to improve sound transmission loss in cylindrical shells[J]. Journal of sound and vibration,2017,389:276-291.
[54] SAGAR V,MUNJAL M L. Analysis and design guidelines for fork muffler with H-connection[J]. Applied acoustics,2017,125:49-58.
[2] JIN Z J,CHEN F Q,QIAN J Y,et al. Numerical analysis of flow and temperature characteristics in a high multi-stage pressure reducing valve for hydrogen refueling station[J]. International journal of hydrogen energy,2016,41(12):5559-5570.
[3]徐晓刚.高压差迷宫式多级降压调节阀内部流动特性分析研究[D].兰州:兰州理工大学,2013.
[4] SHI Y,MARTIN W H. Noise induced hearing loss in China:a potentially costly public health issue[J].Journal of otology,2013,8(1):51-56.
[5]夏勇,王春林,杨晓勇,等.双吸泵作液力透平内部流动诱导噪声数值分析[J].排灌机械工程学报,2016,34(6):483-489.XIA Yong,WANG Chunlin,YANG Xiaoyong,et al. Numerical investigation of noise induced by internal flow of double-suction pump as hydraulic turbine[J]. Journal of drainage and irrigation machinery engineering,2016,34(6):483-489.(in Chinese)
[6]章嘉炎.国外阀门噪声的研究[J].流体机械,1981(4):54-58.ZHANG Jiayan. Research on noise of foreign valves[J].Fluid machinery,1981(4):54-58.(in Chinese)
[7]周盼,张权,率志君,等.离心泵进水口形式设计及其对振动噪声的影响[J].排灌机械工程学报,2015,33(1):16-19,54.ZHOU Pan,ZHANG Quan,SHUAI Zhijun,et al. Inlet design and it's influence on vibration and noise centrifugal pump[J]. Journal of drainage and irrigation machinery engineering,2015,33(1):16-19,54.(in Chinese)
[8]赵松龄.噪声的降低与隔离(下册)[M].上海:同济大学出版社,1989.
[9]杜功焕,朱哲民,龚秀芬.声学基础(下册)[M].上海:上海科学技术出版社,1981.
[10] KIESBAUER J, VNUCEC D. Improvement of IEC60534-8-3 standard for noise prediction in control valves[J]. Hydrocarbon processing,2008,87(1):89-96.
[11] FAN L H,CAI G H. Exploration on aerodynamic noise characteristics for control valve of steam turbine[J]. Applied mechanics&materials,2012,224:395-400.
[12]刘翠伟,李玉星,王武昌,等.输气管道气体流经阀门气动噪声产生机理分析[J].振动与冲击,2014,33(2):152-157.LIU Cuiwei,LI Yuxing,WANG Wuchang,et al. Analysis on the mechanism of aero-acoustic noise generated by gas flow through valves of natural gas pipelines[J].Journal of vibration and shock,2014,33(2):152-157.(in Chinese)
[13] OKITA K,MIYAMOTO Y,KATAOKA T,et al. Mechanism of noise generation by cavitation in hydraulic relief valve[C]//Journal of physics conference series,2015:012104.
[14]娄燕鹏.高压降多级降压疏水阀及阀控管道振动噪声特性研究[D].兰州:兰州理工大学,2016.
[15] AMINI A,OWEN I. A practical solution to the problem of noise and vibration in a pressure-reducing valve[J].Experimental thermal and fluid science,1995,10(1):136-141.
[16] JANZEN V P,SMITH B A W,LULOFF B V,et al. Acoustic noise reduction in large-diameter steam-line gate valves[C]//Proceedings of the ASME Pressure Vessels and Piping Conference. San Antonio,USA:[s. n.],2007.
[17]郑海.汽轮机高压旁路阀调节特性的研究以及噪音分析[D].兰州:兰州理工大学,2012.
[18] ZENG L F,LIU G W,MAO J R,et al. Flow-induced vibration and noise in control valve[J]. Journal of mechanical engineering science,2015,229(18):3368-3377.
[19]何涛,郝夏影,王锁泉,等.低噪声控制阀优化设计及试验验证[J].船舶力学,2017,21(5):642-650.HE Tao,HAO Xiaying,WANG Suoquan,et al. Optimization design and experimental verification on low noise control valve[J]. Journal of ship mechanics,2017,21(5):642-650.(in Chinese)
[20] ZHENG H,YAN F,LU C,et al. Optimization design of the valve spring for abnormal noise control in a singlecylinder gasoline engine[J]. Proceedings of the institution of mechanical engineers part D:journal of automobile engineering,2016,231(2):204-213.
[21] AKINORI T,KEITA O M,SHIRO T D,et al. Development of numerical analysis method of flow-acoustic resonance in stub pipes of safety relief valves[J]. Journal of nuclear science&technology,2012,49(8):793-803.
[22] YONEZAWA K,OGAWA R,OGI K,et al. Flow-induced vibration of a steam control valve[J]. Journal of fluids&structures,2012,35(776):76-88.
[23] WEI L,ZHANG M,JIN Z J,et al. Numerical analysis of aerodynamic noise in a high parameter pressure reducing valve[J]. Applied mechanics&materials,2013,397:274-277.
[24] QIAN J Y,WEI L,JIN Z J,et al. CFD analysis on the dynamic flow characteristics of the pilot-control globe valve[J]. Energy conversion&management,2014,87:220-226.
[25] SCHMITT M,FROUZAKIS C E,TOMBOULIDES A G,et al. Direct numerical simulation of the effect of compression on the flow,temperature and composition under engine-like conditions[J]. Proceedings of the combustion institute,2015,35(3):3069-3077.
[26] WEI L,ZHU G,QIAN J,et al. Numerical simulation of flow-induced noise in high pressure reducing valve[J].Plos one,2015,10(6):e0129050.
[27] QIAN J Y,LIU B Z,JIN Z J,et al. Numerical analysis of flow and cavitation characteristics in a pilot-control globe valve with different valve core displacements[J].Journal of Zhejiang University Science A(applied physics&engineering)2016,17(1):54-64.
[28] LIU Q F,LI Y Z,ZHANG H,et al. ICONE23-1262 experiment study of the thermal characteristics of the head of the direct action solenoid valve[C]//Proceedings of the 23rd International Conference on Nuclear Engineering,2015.
[29] GUO J,CAO Y,ZHANG W,et al. Analysis of engine vibration and noise induced by a valve train element combined with the dynamic behaviors[J]. Journal of engineering for gas turbines&power,2016,38(9):1-11.
[30] WANG P,LIU Y. Influence of a circular strainer on unsteady flow behavior in steam turbine control valves[J].Applied thermal engineering,2017,115:463-476.
[31] CHEN F Q,ZHANG M,QIAN J Y,et al. Thermo-mechanical stress and fatigue damage analysis on multistage high pressure reducing valve[J]. Annals of nuclear energy,2017,110:753-767.
[32] ALENIUS E,BOM M,FUCHS L. Large eddy simulations of acoustic-flow interaction at an orifice plate[J].Journal of sound&vibration,2015,345:162-177.
[33] HABIBI K,MONGEAU L. Prediction of sound absorption by a circular orifice termination in a turbulent pipe flow using the Lattice-Boltzmann method[J]. Applied acoustics,2015,87:153-161.
[34] JIA X H,LIU B X,FENG J M,et al. Influence of an orifice plate on gas pulsation in a reciprocating compressor piping system[J]. Proceedings of the institution of mechanical engineers. part E:journal of process mechanical engineering,2013,229(1):64-77.
[35] QIAN J Y,ZHANG M,LEI L N,et al. Mach number analysis on multi-stage perforated plates in high pressure reducing valve[J]. Energy conversion&management,2016,119:81-90.
[36] QIAN J Y,WEI L,ZHU G R,et al. Transmission loss analysis of thick perforated plates for valve contained pipelines[J]. Energy conversion and management,2016,109:86-93.
[37] TEMIZ M A,TOURNADRE J,ARTEAGA I L,et al.Non-linear acoustic transfer impedance of micro-perforated plates with circular orifices[J]. Journal of sound&vibration,2016,366:418-428.
[38] LAWN C. The acoustic impedance of perforated plates under various flow conditions relating to combustion chamber liners[J]. Applied acoustics, 2016, 106:144-154.
[39]何志霞,张鑫,陈驭航,等.单孔孔板水力空化特性的可视化与数值模拟[J].江苏大学学报(自然科学版),2017,38(4):416-422.HE Zhixia,ZHANG Xin,CHEN Yuhang,et al. Visualization and numerical simulation of hydrodynamic cavitation in single hole orifice plate[J]. Journal of Jiangsu University(natural science edition),2017,38(4):416-422.(in Chinese)
[40] SACK S, ABOM M. Investigation of orifice aeroacoustics by means of multi-port methods[J]. Journal of sound and vibration,2017,407:32-45.
[41] MAKARYANTS G M,SVERBILOV V Y,PROKOFIEV A B,et al. The tonal noise reduction of the proportional pilot-operated pneumatic valve[C]//Proceedings of the19th International Congress on Sound and Vibration,2012.
[42]刘利杰.某调节阀的气动噪声研究[D].哈尔滨:哈尔滨工程大学,2013.
[43]王干新.调节阀中采用不同内构件的降噪技术研究[D].上海:华东理工大学,2015.
[44] LI J,ZHAO S. Optimization of valve opening process for the suppression of impulse exhaust noise[J]. Journal of sound and vibration,2017,389:24-40.
[45] STADNIK D M,IGOLKIN A A,SVERBILOV V Y,et al. The muffler performance effect on pressure reducing valve dynamics[J]. Procedia engineering,2017,176:706-717.
[46]何涛,王秋波,王锁泉,等.低噪声迷宫式控制阀设计原理及数值分析[J].船舶力学,2017,21(2):127-137.HE Tao,WANG Qiubo,WANG Suoquan,et al. Low noise design principle and numerical analysis on labyrinth control valves[J]. Journal of ship mechanics,2017,21(2):127-137.(in Chinese)
[47] ANDREINI A,BIANCHINI C,FACCHINI B,et al.Assessment of numerical tools for the evaluation of the acoustic impedance of multi-perforated plates[C]//Proceedings of the ASME 2011 Turbo Expo:Turbine Technical Conference and Exposition,2011:1065-1077.
[48] MIMANI A, MUNJAL M L. Acoustical behavior of single inlet and multiple outlet elliptical cylindrical chamber muffler[J]. Noise control engineering journal,2012,60(5):605-626.
[49] ANTEBAS A G,DENIA F D,PEDROSA A M,et al. A finite element approach for the acoustic modeling of perforated dissipative mufflers with non-homogeneous properties[J]. Mathematical and computer modelling,2013,57(7/8):1970-1978.
[50] LI J. Transmission loss of variable cross section apertures[J]. Journal of vibration&acoustics,2014,136(136):1-5.
[51] SHEN C,XIN F,LU T. Transmission loss of orthogonally stiffened laminated composite plates[J]. Journal of mechanical science&technology,2015,29(1):59-66.
[52] ARUNKUMAR M P,JAGADEESH M,PITCHAIMANI J,et al. Sound radiation and transmission loss characteristics of a honeycomb sandwich panel with composite facings:effect of inherent material damping[J]. Journal of sound and vibration,2016,383:221-232.
[53] OLIAZADEH P,FARSHIDIANFAR A. Analysis of different techniques to improve sound transmission loss in cylindrical shells[J]. Journal of sound and vibration,2017,389:276-291.
[54] SAGAR V,MUNJAL M L. Analysis and design guidelines for fork muffler with H-connection[J]. Applied acoustics,2017,125:49-58.