组合边界对圆柱壳结构输入功率流的影响特性研究
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摘要
针对流场中具有组合声边界的圆柱壳结构的声振问题进行了研究。因自由液面和刚性壁面的受控空间内的圆柱壳结构声振问题同时存在,结合镜像法原理,应用双反射方法推导了具有受控声边界条件的圆柱壳结构运动控制方程。以直角空间域内的圆柱壳结构的受迫振动为例,开展了圆柱壳结构的输入功率流特性计算;对比了圆柱壳结构声边界特性、频率及位置对圆柱壳结构输入功率流的影响。
Here, vibro-acoustic problems of cylindrical shell structures with combined acoustic boundaries in a flow field were investigated. Aiming at the vibro-acoustic problem of a cylindrical shell structure in a controlled spatial domain where there exist simultaneously a free liquid surface and rigid wall ones, the double reflection method combined with the principle of the mirror image method was used to derive the governing equation of motion for the cylindrical shell structure with controlled sound boundaries. Finally, the forced vibration of a cylindrical shell structure in a quarter space was taken as an example to calculate input power flow characteristics of the cylindrical shell structure. The effects of different acoustic boundaries' characteristics, frequencies and locations of the shell structure on its input power flow were compared.
Here, vibro-acoustic problems of cylindrical shell structures with combined acoustic boundaries in a flow field were investigated. Aiming at the vibro-acoustic problem of a cylindrical shell structure in a controlled spatial domain where there exist simultaneously a free liquid surface and rigid wall ones, the double reflection method combined with the principle of the mirror image method was used to derive the governing equation of motion for the cylindrical shell structure with controlled sound boundaries. Finally, the forced vibration of a cylindrical shell structure in a quarter space was taken as an example to calculate input power flow characteristics of the cylindrical shell structure. The effects of different acoustic boundaries' characteristics, frequencies and locations of the shell structure on its input power flow were compared.
引文
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[16] 郭文杰,李天匀,朱翔,等.计及自由液面影响的水下有限深度圆柱壳自由振动分析[J].振动与冲击,2017,36(10):1-6.GUO Wenjie,LI Tianyun,ZHU Xiang,et al.Free vibration of a submerged cylindrical shell with a finite submerged depth considering the essect of free surface[J].Journal of Vibration and Shock,2017,36(10):1-6.
[17] CHAN K L,SMITH B,WESTER E.Flexural wave scattering in a quarter-infinite thin plate with circular scatterers[J].International Journal of Solids and Structures,2009,46(20):3669-3676.
[18] YE W B,LI T Y,ZHU X.The vibro-acousitc characteristics of the cylindrical shell partially submerged in the fluid[J].Applied Mechanics and Materials,2012,170/171/172/173:2303-2311.
[19] 王威,陈炉云.含组合边界的圆柱壳结构声振特性研究[J].振动工程学报,2016,29(6):1034-1040.WANG Wei,CHEN Luyun.Vibro-acoustic characteristics analysis of cylindrical shells with combination boundaries[J].Journal of Vibration Engineering,2016,29(6):1034-1040.
[20] CHEN L Y,LIANG X F,YI H.Vibro-acoustic characteristics of cylindrical shells with complex acoustic boundary conditions[J].Ocean Engineering,2016,126(1):12-21.
[2] CHOI W J,XIONG Y P,SHENOI R A.Power flow analysis for a floating sandwich raft isolation system using a higher-order theory[J].Journal of Sound and Vibration,2009,319(1/2):228-246.
[3] 马丰伟,孙玲玲,宋孔杰,等.基于功率流的隔振控制研究[J].噪声与振动控制,2006,26(4):14-16.MA Fengwei,SUN Lingling,SONG Kongjie,et al.Study on control of vibration isolation with power flow[J].Journal of Noise and Vibration Control,2006,26(4):14-16.
[4] 王晓乐,孙玲玲,高阳,等.圆柱壳体基础隔振系统导纳功率流特性[J].机械工程学报,2015,51(11):48-55.WANG Xiaole,SUN Lingling,GAO Yang,et al.Mobility power flow analysis of vibration isolation system with a circular cylindrical shell foundation[J].Journal of Mechanical Engineering,2015,51(11):48-55.
[5] 李广,吴文伟.基于功率流法的振动与声辐射研究[J].船舶力学,2015,19(5):609-618.LI Guang,WU Wenwei.Vibration and sound radiation research based on power flow method[J].Journal of Ship Mechanics,2015,19(5):609-618.
[6] 陈浩森,李天匀,朱翔,等.黏性流场中圆柱壳结构的振动能量流输入特性[J].华中科技大学学报(自然科学版),2015,43(2):55-60.CHEN Haosen,LI Tianyun,ZHU Xiang,et al.Characteristics of input vibrational power flow in infinite cylindrical shell submerged in viscous fluids[J].Journal of Huazhang University of science and technology(Natural science edition),2015,43(2):55-60.
[7] LIU Zhizhong,LI Tianyun,ZHU Xiang,et al.Effect of hydrostatic pressure on input power flow in submerged ring-stiffened cylindrical shells[J].Journal of Ship Mechanics,2014,18(1/2):178-190.
[8] 叶文兵.潜浮状态下圆柱壳结构的声振特性研究[D].武汉:华中科技大学,2012.
[9] 张森森,左君伟,张俊杰.研究阻尼复合圆柱壳振动功率流的一种新方法[J].中国舰船研究,2011,6(4):52-55.ZHANG Sensen,ZUO Junwei,ZHANG Junjie.A new method for calculating vibration power flow of damped cylindrical shell[J].Chinese Journal of Ship Research,2011,6(4):52-55.
[10] 白振国,吴文伟,左成魁,等.有限水深环境圆柱壳声辐射及传播特性[J].船舶力学,2014,18(1/2):178-190.BAI Zhenguo,WU Wenwei,ZUO Chengkui,et al.Sound radiation and spread characteristics of cylindrical shell in finite depth water[J].Journal of Ship Mechanics,2014,18(1/2):178-190.
[11] LU J F,JENG D S.Green’s function for a harmonic acoustic point source within seawater overlying a saturated poroelastic seabed[J].Journal of Sound and Vibration,2007,307(1/2):172-186.
[12] HASHEMINEJAD S M,AZARPEYVAND M.Modal vibrations of a cylindrical radiator over an impedance plane[J].Journal of Sound and Vibration,2004,278 (3):461-477.
[13] HASHEMINEJAD S M,AZARPEYVAND M.Modal vibrations of an infinite cylinder in an acoustic half space[J].International Journal of Engineering Science,2003,41(19):2253-2271.
[14] 王鹏,李天匀,朱翔,等.有限潜深状态下圆柱壳固有振动特性分析[J].振动与冲击,2017,36(15):146-151.WANG Peng,LI Tianyun,ZHU Xiang,et al.Natural vibration characteristics analysis for an immersed cylindrical shell with a limited diving depth[J].Journal of Vibration and Shock,2017,36(15):146-151.
[15] 王鹏,李天匀,朱翔,等.近水面状态有限长圆柱壳受迫振动的输入功率流和声辐射特性[J].振动工程学报,2017,30(4):596-601.WANG Peng,LI Tianyun,ZHU Xiang,et al.Research on input power flow and sound radiation from a cylindrical shell immersed near the free surface[J].Journal of Vibration Engineering,2017,30(4):596-601.
[16] 郭文杰,李天匀,朱翔,等.计及自由液面影响的水下有限深度圆柱壳自由振动分析[J].振动与冲击,2017,36(10):1-6.GUO Wenjie,LI Tianyun,ZHU Xiang,et al.Free vibration of a submerged cylindrical shell with a finite submerged depth considering the essect of free surface[J].Journal of Vibration and Shock,2017,36(10):1-6.
[17] CHAN K L,SMITH B,WESTER E.Flexural wave scattering in a quarter-infinite thin plate with circular scatterers[J].International Journal of Solids and Structures,2009,46(20):3669-3676.
[18] YE W B,LI T Y,ZHU X.The vibro-acousitc characteristics of the cylindrical shell partially submerged in the fluid[J].Applied Mechanics and Materials,2012,170/171/172/173:2303-2311.
[19] 王威,陈炉云.含组合边界的圆柱壳结构声振特性研究[J].振动工程学报,2016,29(6):1034-1040.WANG Wei,CHEN Luyun.Vibro-acoustic characteristics analysis of cylindrical shells with combination boundaries[J].Journal of Vibration Engineering,2016,29(6):1034-1040.
[20] CHEN L Y,LIANG X F,YI H.Vibro-acoustic characteristics of cylindrical shells with complex acoustic boundary conditions[J].Ocean Engineering,2016,126(1):12-21.
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