弹性边界条件下弹性基础加筋板声辐射特性研究
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摘要
以弹性边界条件下弹性基础加筋板为例,将弹性基础刚度,边界刚度计入总体刚度矩阵,建立了加筋板声辐射计算模型。讨论了弹性基础刚度,弹性基础作用范围,局部弹性基础位置,边界旋转刚度,边界支持刚度等对加筋板辐射声功率的影响,得到一些有意义的结论,为实际结构的声学性能计算提供参考。
The stiffened plates on elastic foundation with elastic boundary conditions are studied. The elastic foundation stiffness and boundary stiffness are counted into the global stiffness matrix. The numerical model for sound radiation analysis of the stiffened plates is established. The effects of elastic foundation stiffness, elastic foundation action range, local elastic foundation position, boundary rotation stiffness and boundary support stiffness on the sound radiation of the stiffened plates are discussed. Some meaningful conclusions are given. This study may provide a reference for the calculation of the acoustic performance of actual structures.
The stiffened plates on elastic foundation with elastic boundary conditions are studied. The elastic foundation stiffness and boundary stiffness are counted into the global stiffness matrix. The numerical model for sound radiation analysis of the stiffened plates is established. The effects of elastic foundation stiffness, elastic foundation action range, local elastic foundation position, boundary rotation stiffness and boundary support stiffness on the sound radiation of the stiffened plates are discussed. Some meaningful conclusions are given. This study may provide a reference for the calculation of the acoustic performance of actual structures.
引文
[1]MORFIDIS K.Vibration of Timoshenko beams on threeparameter elastic foundation[J].Computers&Structures,2010,88(5-6):294-308.
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[5]覃霞,曾治平,彭林欣.弹性地基上矩形加肋板自由振动分析的无网格法[J].应用力学学报,2017,34(6):1027-1033.
[6]高阳,孙玲玲,王晓乐.考虑设备弹性的隔振系统[J].噪声与振动控制,2014,34(4):138-141.
[7]贺小龙,张立民,屈晶晶,等.基于弹性基础的多级并联调谐质量阻尼器设计[J].噪声与振动控制,2016,36(2):35-39.
[8]LI S.Modal models for vibro-acoustic response analysis of fluid-loaded plates[J].Journal of Vibration&Control,2011,17(10):1540-1546.
[9]谢洪阳.弹性地基板动力问题的数值分析[D].武汉:华中科技大学,2006.
[10]CHIELLO O,SGARD F C,ATALLA N.On the use of a component mode synthesis technique to investigate the effects of elastic boundary conditions on the transmission loss of baffled plates[J].Computers&Structures,2003,81(28-29):2645-2658.
[11]LIANG X,LIN Z,ZHU P.Acoustic analysis of damping structure with response surface method[J].Applied Acoustics,2007,68(9):1036-1053.
[12]LI W L.Vibration analysis of rectangular plates with general elastic boundary supports[J].Journal of Sound&Vibration,2004,273(3):619-635.
[13]徐腾飞,邢誉峰.弹性地基上矩形薄板自由振动的精确解[J].工程力学,2014,31(5):43-48.
[14]JEYARAJ P.Vibro-acoustic behavior of an isotropic plate with arbitrarily varying thickness[J].European Journal of Mechanics/A Solids,2010,29(6):1088-1094.
[15]王志,姜哲.对平板的速度分布及其对应辐射效率的探讨[J].江苏大学学报(自然科学版),1999(2):13-16.
[16]WILLIAMS E G.A series expansion of the acousticpower radiated from planar sources[J].Journal of the Acoustical Society of America,1983,73(5):1520-1524.
[2]B U?URLU,A KUTLU,A ERGIN,et al.Dynamics of a rectangular plate resting on an elastic foundation and partially in contact with a quiescent fluid[J].Journal of Sound&Vibration,2008,317(1):308-328.
[3]HASHEMI S H,KARIMI M,TAHER H R D.Vibration analysis of rectangular Mindlin plates on elastic foundations and vertically in contact with stationary fluid by the Ritz method[J].Ocean Engineering,2010,37(2):174-185.
[4]PHUOC N T,TRUNG P D.The influence of mass of twoparameter elastic foundation on dynamic responses of beams subjected to a moving mass[J].Ksce Journal of Civil Engineering,2016,20(7):1-7.
[5]覃霞,曾治平,彭林欣.弹性地基上矩形加肋板自由振动分析的无网格法[J].应用力学学报,2017,34(6):1027-1033.
[6]高阳,孙玲玲,王晓乐.考虑设备弹性的隔振系统[J].噪声与振动控制,2014,34(4):138-141.
[7]贺小龙,张立民,屈晶晶,等.基于弹性基础的多级并联调谐质量阻尼器设计[J].噪声与振动控制,2016,36(2):35-39.
[8]LI S.Modal models for vibro-acoustic response analysis of fluid-loaded plates[J].Journal of Vibration&Control,2011,17(10):1540-1546.
[9]谢洪阳.弹性地基板动力问题的数值分析[D].武汉:华中科技大学,2006.
[10]CHIELLO O,SGARD F C,ATALLA N.On the use of a component mode synthesis technique to investigate the effects of elastic boundary conditions on the transmission loss of baffled plates[J].Computers&Structures,2003,81(28-29):2645-2658.
[11]LIANG X,LIN Z,ZHU P.Acoustic analysis of damping structure with response surface method[J].Applied Acoustics,2007,68(9):1036-1053.
[12]LI W L.Vibration analysis of rectangular plates with general elastic boundary supports[J].Journal of Sound&Vibration,2004,273(3):619-635.
[13]徐腾飞,邢誉峰.弹性地基上矩形薄板自由振动的精确解[J].工程力学,2014,31(5):43-48.
[14]JEYARAJ P.Vibro-acoustic behavior of an isotropic plate with arbitrarily varying thickness[J].European Journal of Mechanics/A Solids,2010,29(6):1088-1094.
[15]王志,姜哲.对平板的速度分布及其对应辐射效率的探讨[J].江苏大学学报(自然科学版),1999(2):13-16.
[16]WILLIAMS E G.A series expansion of the acousticpower radiated from planar sources[J].Journal of the Acoustical Society of America,1983,73(5):1520-1524.