弹性层状土体中波阻板(WIB)减振效果的边界元传递矩阵法分析
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摘要
采用边界元传递矩阵法,研究了层状土体中埋置波阻板(WIB)对条形简谐荷载振动的减振效果.土体为层状弹性半无限空间,波阻板埋置在层状土体中,通过计算层状土体中不同观察点的插入耗损,分析波阻板的减振效果.数值结果表明:波阻板对低频有较好的减振效果,但当振动波长相对于波阻板的埋深、宽度较小时,对于某些频率的振动,较远处的观察点有频率放大现象.
A numerical model which investigates the transmission of vibrations and its reduction in the far-field of the surface of the ground is presented.The vibration attenuation device is the wave impedance block(WIB).It is based on an integral equation and transfer matrix formulation of the problem which is solved by using a boundary element approach.The ground is modeled as an elastic layered half-space and the inclusion is under the load within the layered half-space.The performance of WIB in impeding wave transmissions at a number of receiver positions is studied and measured in terms of insertion loss.It is shown that an inclusion has a beneficial effect at low frequencies.However,when the wave-length becomes short compared with the depth and width of the inclusion,adverse effects occur at some frequencies which are still observed in the far field.
A numerical model which investigates the transmission of vibrations and its reduction in the far-field of the surface of the ground is presented.The vibration attenuation device is the wave impedance block(WIB).It is based on an integral equation and transfer matrix formulation of the problem which is solved by using a boundary element approach.The ground is modeled as an elastic layered half-space and the inclusion is under the load within the layered half-space.The performance of WIB in impeding wave transmissions at a number of receiver positions is studied and measured in terms of insertion loss.It is shown that an inclusion has a beneficial effect at low frequencies.However,when the wave-length becomes short compared with the depth and width of the inclusion,adverse effects occur at some frequencies which are still observed in the far field.
引文
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[2]Jones C J C,Wang A,Dawn TM.Modeling the propagation of vibration from railway tunnels[C]//Proc Computational Acousticsand its Environmental Applications,Computational Mechanics Publications,1995:285-292.
[3]Schmid G,ChouwN,Le R.Shielding of structures from soil vibrations[C].Proceedings of Soil Dynamics and Earthquake Engineer-ing V,Computational Mechanics Publications,1992:651-662.
[4]Takemiya H,Fujiwara A.Wave propagation/impediment in a stratum and wave impeding block(WIB)measured for SSI responsereduction[J].Soil Dynamics and Earthquake Engineering,1994,13(13):49-61.
[5]Kaynia M A,Madshus C,Zackrisson P.Ground vibration from high speed trains:prediction and counter measure[J].Journal ofGeotechnical and Geoenvironmental Engineering,2000,126(6):531-537.
[6]高广运,李伟.二维地基波阻板隔振分析[J].地震工程与工程振动,2005,25(2):130-135.
[7]劳洁声,刘秀兰.边界积分法在三维弹性力学中的应用[J].大连工学院学报,1981,20(1):53-61.
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