板壳结构振动功率流的子结构线导纳法研究
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摘要
采用子结构点导纳方法分析铺壳耦合结构振动特性时,需要将衔接线划分为一系列的点进行求解,较为烦琐。针对这一问题,该文提出了改进的子结构线导纳方法。首先建立了铺板和圆柱壳的耦合振动模型;然后采用模态展开法分别求解铺板和圆柱壳的机械线导纳,得到振动传递方程中的线导纳矩阵;最后求解耦合振动方程分析铺板与圆柱壳的振动功率流特性。将结果分别与ANSYS和AutoSEA的计算结果进行对比分析表明:该文提出的改进方法能够在宽频带内有效地计算板壳耦合结构的振动功率流特性,且求解过程简单,适于线衔接复杂结构的振动特性分析。
For the analysis of plate-shell coupled structures,the coupling edges should be divided by lots of points to calculate if the substructure point receptance method is applied,which is inconvenient.To solve this problem,an improved substructure line receptance method is presented here.Firstly,a coupled model of a cylindrical shell with a floor partition is obtained,based on the substructure theory.Secondly,a modal expansion method is utilized to get the line receptance of the cylindrical shell and the floor partition separately.As a result,vibrating velocities of the plate and the shell can be acquired,to calculate the power flows of the system.Eventually,comparison is carried out among the results calculated by substructure line receptance methods,ANSYS and AutoSEA,respectively.It shows that the method presented here is effective to analyze the vibration power flow characteristics of plate-shell coupled structures over a wide frequency range and the calculation process is simpler compared with that of the substructure point mobility method.Thus,this method is especially suitable for complex structures coupled with lines.
For the analysis of plate-shell coupled structures,the coupling edges should be divided by lots of points to calculate if the substructure point receptance method is applied,which is inconvenient.To solve this problem,an improved substructure line receptance method is presented here.Firstly,a coupled model of a cylindrical shell with a floor partition is obtained,based on the substructure theory.Secondly,a modal expansion method is utilized to get the line receptance of the cylindrical shell and the floor partition separately.As a result,vibrating velocities of the plate and the shell can be acquired,to calculate the power flows of the system.Eventually,comparison is carried out among the results calculated by substructure line receptance methods,ANSYS and AutoSEA,respectively.It shows that the method presented here is effective to analyze the vibration power flow characteristics of plate-shell coupled structures over a wide frequency range and the calculation process is simpler compared with that of the substructure point mobility method.Thus,this method is especially suitable for complex structures coupled with lines.
引文
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[11]金全洲,李天匀,赵耀.圆柱壳结构振动功率流和主动力幅值的控制研究[J].船舶力学,2009,13(2):305―312.Jin Quanzhou,Li Tianyun,Zhao Yao.Active control of cylindrical shells based on structure power flow and control inputs[J].Journal of Ship Mechanics,2009,13(2):305―312.(in Chinese)
[12]Jin Quanzhou,Li Tianyun,Zhao Yao.Active control of input power flow to the cylindrical shells[J].Journal of Ship Mechanics,2010,14(9):1039―1051.
[13]Soedel Werner.Vibration of shells and plates[M].New York:Marcel Dekker,1993.
[14]Frank Fahy,Paolo Gardonio.Sound and structural vibration[M].Netherlands:Elsevier,2007.
[15]Wang J,Lu T J,Woodhouse J,et al.Sound transmission through lightweight double-leaf partitions:theoretical modeling[J].Journal of Sound and Vibration,2005,286(4/5):817―847.
[16]尼基福罗夫.阿.斯.船体结构声学设计[M].北京:国防工业出版社,1998:14.HLkforov A C.Acoustic design of hull structure[M].Beijing:National Defense Industry Press,1998:14.(in Chinese)
[2]Tso Y K.Wave Propagation through cylinder/plate junctions[J].Journal of Sound and Vibration,1995,186(3):447―461.
[3]Missaoui J,Cheng L,Richard M J.Free and forced vibration of a cylindrical shell with a floor partition[J].Journal of Sound and Vibration,1996,190(1):21―40.
[4]Missaoui J,Cheng L.Vibroacoustic of a finite cylindrical shell with internal floor partition[J].Journal of Sound and Vibration,1999,226(1):101―123.
[5]殷学纲,陈淮,蹇开林.结构振动分析的子结构方法[M].北京:中国铁道出版社,1991:370―375.Yin Xuegang,Chen Huai,Jian Kailin.The Substructure method for structural vibration analysis[M].Beijing:China Railway Press,1991:370―375.(in Chinese)
[6]Wang Z H,Xing J T,Price W G.An investigation of power flow characteristics of L-shaped plates adopting a substructure approach[J].Journal of Sound and Vibration,2002,250(4):627―648.
[7]Wang Z H,Xing J T,Price W G.A study of power flow in a coupled plate-cylindrical shell system[J].Journal of Sound and Vibration,2004,271(3/4/5):863―882.
[8]Huang D T,Soedel W.Study of the forced vibration of shell-plate combinations using the reacceptance method[J].Journal of Sound and Vibration,1993,162(2):341―369.
[9]Lee Y S,Choi M H.Free vibration of circular cylindrical shells with an interior plate using the receptance method[J].Journal of Sound and Vibration,2001,248(3):477―497.
[10]付春,姜绍飞,吕啸斐.基于子结构法的海洋平台疲劳可靠性研究[J].地震工程与工程振动,2010,30(3):156―160.Fu Chun,Jiang Shaofei,Lv Xiaofei.Study on fatigue reliability of offshore platforms based on substructure identification method[J].Journal of Earthquake Engineering and Engineering Vibration,2010,30(3):156―160.(in Chinese)
[11]金全洲,李天匀,赵耀.圆柱壳结构振动功率流和主动力幅值的控制研究[J].船舶力学,2009,13(2):305―312.Jin Quanzhou,Li Tianyun,Zhao Yao.Active control of cylindrical shells based on structure power flow and control inputs[J].Journal of Ship Mechanics,2009,13(2):305―312.(in Chinese)
[12]Jin Quanzhou,Li Tianyun,Zhao Yao.Active control of input power flow to the cylindrical shells[J].Journal of Ship Mechanics,2010,14(9):1039―1051.
[13]Soedel Werner.Vibration of shells and plates[M].New York:Marcel Dekker,1993.
[14]Frank Fahy,Paolo Gardonio.Sound and structural vibration[M].Netherlands:Elsevier,2007.
[15]Wang J,Lu T J,Woodhouse J,et al.Sound transmission through lightweight double-leaf partitions:theoretical modeling[J].Journal of Sound and Vibration,2005,286(4/5):817―847.
[16]尼基福罗夫.阿.斯.船体结构声学设计[M].北京:国防工业出版社,1998:14.HLkforov A C.Acoustic design of hull structure[M].Beijing:National Defense Industry Press,1998:14.(in Chinese)
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