仪器舱结构的能量有限元中频声振环境预示
|
摘要
采用能量有限元分析(EFEA)法,建立某仪器舱结构的能量有限元模型,并对其进行了声振环境的预示。将EFEA与统计能量分析(SEA)及实验测试结果进行了比较,在一定的频域内,能量有限元方法得到了较好的预示结果,与预期结果相符。相对于传统SEA方法,EFEA还可以得到响应的空间分布。该研究对仪器舱结构的EFEA建模及分析,为工程上对复杂结构声振环境预示提供了新的思路。
The energy finite element analysis(EFEA) model of an instrument cabin structure was established, and the acoustic-vibration environment was predicted. The results by the EFEA were compared with those by the statistical energy analysis(SEA) and by the experiments. In certain frequency range, good prediction results could be obtained by the EFEA, which are in agreement with the expectations. Besides, compared with the traditional SEA method, the EFEA can also get the spatial distribution of the responses. The modeling and analysis of the instrument cabin structure by the EFEA offers a new idea for the acoustic-vibration environment prediction of complex structures in engineering.
The energy finite element analysis(EFEA) model of an instrument cabin structure was established, and the acoustic-vibration environment was predicted. The results by the EFEA were compared with those by the statistical energy analysis(SEA) and by the experiments. In certain frequency range, good prediction results could be obtained by the EFEA, which are in agreement with the expectations. Besides, compared with the traditional SEA method, the EFEA can also get the spatial distribution of the responses. The modeling and analysis of the instrument cabin structure by the EFEA offers a new idea for the acoustic-vibration environment prediction of complex structures in engineering.
引文
[ 1 ] NOISEUX D.Measurement of power flow in uniform beams and plates [J].The Journal of the Acoustical Society of America,1970,47(Sup 1):238-247.
[ 2 ] NEFSKE D J,SUNG S H.Power flow finite element analysis of dynamic systems:basic theory and application to beams [J].Journal of Vibration,Acoustics Stress and Reliability in Design,1989,111(1):94-100.
[ 3 ] WOHLEVER J C,BERNHARD R J.Mechanical energy flow models of rods and beams [J].Journal of Sound and Vibration,1992,153(1):1-19.
[ 4 ] BOUTHIER O M,BERNHARD R J.Models of space-averaged energetics of plates[J].AIAA Journal,1992,30(3):616-623.
[ 5 ] BOUTHIER O M,BERNHARD R J.Simple models of the energetics of transversely vibrating plates[J].Journal of Sound and Vibration,1995,182(1):149-164.
[ 6 ] BOUTHIER O M,BERNHARD R J.Simple models of energy flow in vibrating membranes[J].Journal of Sound and Vibration,1995,182(1):129-147.
[ 7 ] CHO P E,BERNHARD R J.Energy flow analysis of coupled beams[J].Journal of Sound and Vibration,1998,211(4):593-605.
[ 8 ] ZHANG W,VLAHOPOULOS N,WU K.An energy finite element formulation for high-frequency vibration analysis of externally fluid-loaded cylindrical shells with periodic circumferential stiffeners subjected to axi-symmetric excitation[J].Journal of Sound and Vibration,2005,282(3):679-700.
[ 9 ] ZHANG W,WANG A,VLAHOPOULOS N,et al.A vibration analysis of stiffened plates under heavy fluid loading by an energy finite element analysis formulation[J].Finite Elements in Analysis and Design,2005,41(11):1056-1078.
[10] 解妙霞,陈花玲,吴九汇.圆柱壳高频弯曲振动的能量有限元分析[J].西安交通大学学报,2008,42(9):1113-1116.XIE Miaoxia,CHEN Hualing,WU Jiuhui.Energy finite element analysis to high-frequency bending vibration in cylindrical shell[J].Journal of Xi’an Jiaotong University,2008,42(9):1113-1116.
[11] YAN X.Energy finite element analysis develop-ments for high frequency vibration analysis of composite structures[D].Ann Arbor:The University of Michigan,2008.
[12] KONG Xiangjie,CHEN Hualing,ZHU Danhui,et al.Study on the validity region of energy finite element analysis[J].Journal of Sound and Vibration,2014,333(9):2601-2616.
[13] WANG D,XIE M,LI Y.High-frequency dynamic analysis of plates in thermal environments based on energy finite element method[J].Shock and Vibration,2015(2015):1-14.
[14] MSC.Software.MSC.Software EFEA 2012 User’s Guide [EB/OL].https://simcompanion.mscsoftware.com/infocenter/index?page=content&id=DOC10009&cat=MSC_NASTRAN_DOCUMENTATION_2012&actp=LIST,2011.
[15] MSC.Software.MSC.Software EFEA 2012 Tutorial [EB/OL].https://simcompanion.mscsoftware.com/infocenter/index?page=content&id=DOC10007&cat=MSC_NASTRAN_DOCUMENTATION_2012&actp=LIST,2011.
[16] 孙丽萍,聂武.能量有限元法在船舶结构中的应用[J].哈尔滨工业大学学报,2008,40(9):1491-1494.SUN Liping,NIE Wu.Application of energy finite element method in ship structures[J].Journal of Harbin Institute of Technology,2008,40(9):1491-1494.
[17] 徐福慧.结构中高频响应预示的能量有限元法研究[D].南京:南京航空航天大学,2012.
[18] 林毅.基于能量有限元法的导弹舱体结构载荷环境预示研究[D].哈尔滨:哈尔滨工业大学,2012.
[19] 刘小平.用统计能量法预示导弹仪器舱的动力学环境[J].导弹与航天运载技术,2000(4):52-56.LIU Xiaoping.Predicting the dynamic environment of missile instrument bay with the statistical energy analysis method[J].Missiles and Space Vehicles,2000(4):52-56.
[20] 孙目,王小军,潘忠文,等.统计能量分析在飞行器动力学环境预示中的应用[J].导弹与航天运载技术,2009(3):11-14.SUN Mu,WANG Xiaojun,PAN Zhongwen,et al.Applications of statistical energy analysis in prediction of flight dynamics environment[J].Missiles and Space Vehicles,2009(3):11-14.
[21] 曾耀祥,潘忠文,李东.基于统计能量分析法的火箭仪器舱声振环境预示[J].导弹与航天运载技术,2013(4):27-32.ZENG Yaoxiang,PAN Zhongwen,LI Dong.Prediction for acoustic-vibration environment of the launch vechicle cabin based on statistical energy analysis[J].Missiles and Space Vehicles,2013(4):27-32.
[22] CREMER L,HECKL M,PETERSSON P D B A T.Structure-borne sound:structural vibrations and sound radiation at audio frequencies[M].2nd ed.Berlin:Springer-Verlag Berlin Heidelberg,1988.
[23] LANGLEY R,HERON K.Elastic wave transmission through plate/beam junctions[J].Journal of Sound and Vibration,1990,143(2):241-253.
[24] ZHANG W,WANG A,VLAHOPOULOS N,et al.High-frequency vibration analysis of thin elastic plates under heavy fluid loading by an energy finite element formulation[J].Journal of Sound and Vibration,2003,263(1):21-46.
[25] 姚德源,王其政.统计能量分析原理及其应用[M].北京:北京理工大学出版社,1995.
[ 2 ] NEFSKE D J,SUNG S H.Power flow finite element analysis of dynamic systems:basic theory and application to beams [J].Journal of Vibration,Acoustics Stress and Reliability in Design,1989,111(1):94-100.
[ 3 ] WOHLEVER J C,BERNHARD R J.Mechanical energy flow models of rods and beams [J].Journal of Sound and Vibration,1992,153(1):1-19.
[ 4 ] BOUTHIER O M,BERNHARD R J.Models of space-averaged energetics of plates[J].AIAA Journal,1992,30(3):616-623.
[ 5 ] BOUTHIER O M,BERNHARD R J.Simple models of the energetics of transversely vibrating plates[J].Journal of Sound and Vibration,1995,182(1):149-164.
[ 6 ] BOUTHIER O M,BERNHARD R J.Simple models of energy flow in vibrating membranes[J].Journal of Sound and Vibration,1995,182(1):129-147.
[ 7 ] CHO P E,BERNHARD R J.Energy flow analysis of coupled beams[J].Journal of Sound and Vibration,1998,211(4):593-605.
[ 8 ] ZHANG W,VLAHOPOULOS N,WU K.An energy finite element formulation for high-frequency vibration analysis of externally fluid-loaded cylindrical shells with periodic circumferential stiffeners subjected to axi-symmetric excitation[J].Journal of Sound and Vibration,2005,282(3):679-700.
[ 9 ] ZHANG W,WANG A,VLAHOPOULOS N,et al.A vibration analysis of stiffened plates under heavy fluid loading by an energy finite element analysis formulation[J].Finite Elements in Analysis and Design,2005,41(11):1056-1078.
[10] 解妙霞,陈花玲,吴九汇.圆柱壳高频弯曲振动的能量有限元分析[J].西安交通大学学报,2008,42(9):1113-1116.XIE Miaoxia,CHEN Hualing,WU Jiuhui.Energy finite element analysis to high-frequency bending vibration in cylindrical shell[J].Journal of Xi’an Jiaotong University,2008,42(9):1113-1116.
[11] YAN X.Energy finite element analysis develop-ments for high frequency vibration analysis of composite structures[D].Ann Arbor:The University of Michigan,2008.
[12] KONG Xiangjie,CHEN Hualing,ZHU Danhui,et al.Study on the validity region of energy finite element analysis[J].Journal of Sound and Vibration,2014,333(9):2601-2616.
[13] WANG D,XIE M,LI Y.High-frequency dynamic analysis of plates in thermal environments based on energy finite element method[J].Shock and Vibration,2015(2015):1-14.
[14] MSC.Software.MSC.Software EFEA 2012 User’s Guide [EB/OL].https://simcompanion.mscsoftware.com/infocenter/index?page=content&id=DOC10009&cat=MSC_NASTRAN_DOCUMENTATION_2012&actp=LIST,2011.
[15] MSC.Software.MSC.Software EFEA 2012 Tutorial [EB/OL].https://simcompanion.mscsoftware.com/infocenter/index?page=content&id=DOC10007&cat=MSC_NASTRAN_DOCUMENTATION_2012&actp=LIST,2011.
[16] 孙丽萍,聂武.能量有限元法在船舶结构中的应用[J].哈尔滨工业大学学报,2008,40(9):1491-1494.SUN Liping,NIE Wu.Application of energy finite element method in ship structures[J].Journal of Harbin Institute of Technology,2008,40(9):1491-1494.
[17] 徐福慧.结构中高频响应预示的能量有限元法研究[D].南京:南京航空航天大学,2012.
[18] 林毅.基于能量有限元法的导弹舱体结构载荷环境预示研究[D].哈尔滨:哈尔滨工业大学,2012.
[19] 刘小平.用统计能量法预示导弹仪器舱的动力学环境[J].导弹与航天运载技术,2000(4):52-56.LIU Xiaoping.Predicting the dynamic environment of missile instrument bay with the statistical energy analysis method[J].Missiles and Space Vehicles,2000(4):52-56.
[20] 孙目,王小军,潘忠文,等.统计能量分析在飞行器动力学环境预示中的应用[J].导弹与航天运载技术,2009(3):11-14.SUN Mu,WANG Xiaojun,PAN Zhongwen,et al.Applications of statistical energy analysis in prediction of flight dynamics environment[J].Missiles and Space Vehicles,2009(3):11-14.
[21] 曾耀祥,潘忠文,李东.基于统计能量分析法的火箭仪器舱声振环境预示[J].导弹与航天运载技术,2013(4):27-32.ZENG Yaoxiang,PAN Zhongwen,LI Dong.Prediction for acoustic-vibration environment of the launch vechicle cabin based on statistical energy analysis[J].Missiles and Space Vehicles,2013(4):27-32.
[22] CREMER L,HECKL M,PETERSSON P D B A T.Structure-borne sound:structural vibrations and sound radiation at audio frequencies[M].2nd ed.Berlin:Springer-Verlag Berlin Heidelberg,1988.
[23] LANGLEY R,HERON K.Elastic wave transmission through plate/beam junctions[J].Journal of Sound and Vibration,1990,143(2):241-253.
[24] ZHANG W,WANG A,VLAHOPOULOS N,et al.High-frequency vibration analysis of thin elastic plates under heavy fluid loading by an energy finite element formulation[J].Journal of Sound and Vibration,2003,263(1):21-46.
[25] 姚德源,王其政.统计能量分析原理及其应用[M].北京:北京理工大学出版社,1995.