弹性地基中波阻板对入射Rayleigh波的远场被动隔振研究
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摘要
针对被保护结构下埋置波阻板的远场被动隔振问题,采用频域弹性边界元法,推导得到了弹性地基中波阻板对入射Rayleigh波散射的边界元方程,在此基础上对波阻板的远场被动隔振效果进行了计算,并对影响波阻板隔振效果的因素进行了分析。研究结果表明:在地基一定深度设置波阻板能够有效降低波阻板上方及后方区域的地面振动;减小波阻板埋深以及增大波阻板厚度均能获得更好的隔振效果;而增加波阻板的剪切模量是提高波阻板被动隔振效果的最有效措施。
The vibration isolation by a wave impedance block( WIB) as passive barriers installed under the protected structure is studied numerically in this paper. The investigation is conducted with the aid of boundary element method in frequency domain,and the boundary element equations for the scattering of the incident Rayleigh waves by WIB are derived. Solving the equations,the isolation efficiency of WIB as passive barriers can be obtained. Moreover,effects of the relevant parameters on the isolation effectiveness by WIB are analyzed and discussed. The results show that the WIB can decrease ground vibrations effectively within zones up and behind the WIB. Further,both decreasing the embedded depth and increasing the thickness of WIB can increase the isolation effectiveness,and increasing the shear modulus of WIB is the most effective measure to obtain a higher isolation efficiency.
The vibration isolation by a wave impedance block( WIB) as passive barriers installed under the protected structure is studied numerically in this paper. The investigation is conducted with the aid of boundary element method in frequency domain,and the boundary element equations for the scattering of the incident Rayleigh waves by WIB are derived. Solving the equations,the isolation efficiency of WIB as passive barriers can be obtained. Moreover,effects of the relevant parameters on the isolation effectiveness by WIB are analyzed and discussed. The results show that the WIB can decrease ground vibrations effectively within zones up and behind the WIB. Further,both decreasing the embedded depth and increasing the thickness of WIB can increase the isolation effectiveness,and increasing the shear modulus of WIB is the most effective measure to obtain a higher isolation efficiency.
引文
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[8]高广运,王非,陈功奇,等.轨道交通荷载下饱和地基中波阻板主动隔振研究[J].振动工程学报,2014,27(3):433-440.GAO Guangyun,WANG Fei,CHEN Gongqi,et al. Active vibration isolation of the saturated ground with wave impedance block inside and under the load of the traveling train[J]. Journal of Vibration Engineering,2014,27(3):433-440.(in Chinese)
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[10] TAKEMIYA H. Field vibration mitigation by honeycomb WIB for pile foundations of a highspeed train viaduct[J]. Soil Dynamics and Earthquake Engineering,2004,24(1):69-87.
[11]李志江,何锃,谭燕,等. HWIB用于高速铁路引发低频振动的隔振分析[J].华中科技大学学报(自然科学版),2011,39(3):34-38.LI Zhijiang,HE Zeng,TAN Yan,et al. Isolation analysis of low-frequency vibration from high speed railways by using HWIB[J]. Journal of Huazhong University of Science and Technology(Natural Science Edition),2011,39(3):34-38.(in Chinese)
[12] BESKOS D E,DASGUPTA G,VARDOULAKIS I G. Vibration isolation using open or filled trenches part 1:2-D homogeneous soil[J]. Computational Mechanics,1986,1(1):43-63.
[2] SCHMID G,CHOUW N,LE R. Shielding of structures from soil vibrations[C]. Proceedings of Soil Dynamics and Earthquake Engineering V,USA. Southampton Boston:Computational Mechanics Publications,1992:651-662.
[3] PEPLOW A T,JONES C J C,PETYT M. Surface vibration propagation over a layered elastic half-space with an inclusion[J]. Applied Acoustics,1999,56:283-296.
[4]高广运,冯世进,李伟,等.三维层状地基竖向激振波阻板主动隔振分析[J].岩土工程学报,2007,29(4):471-476.GAO Guangyun,FENG Shijin,LI Wei,et al. 3D analysis of active vibration isolation with wave impedance block in layered ground under vertical loading[J]. Chinese Journal of Geotechnical Engineering,2007,29(4):471-476.(in Chinese)
[5]高广运,熊浩,李伟,等.水平-摇摆耦合振动波阻板主动隔振三维分析[J].岩土力学,2009,30(1):67-72.GAO Guangyun,Xiong Hao,LI Wei,et al. 3D analysis of active vibration isolation by wave impeding block under horizontal-rocking coupled loading[J]. Rock and Soil Mechanics,2009,30(1):67-72.(in Chinese)
[6]高广运,张博,李伟.层状和竖向非均匀地基中水平-摇摆耦合激振阻板三维隔振分析[J].岩土力学,2012,33(2):349-353.GAO Guangyun,Zhang Bo,LI Wei. 3D analysis of vibration isolation using wave impeding block in layered and vertical heterogeneous foundation under horizontal-rocking coupled excitation[J]. Rock and Soil Mechanics,2012,33(2):349-353.(in Chinese)
[7]高广运,陈功奇,张博.列车荷载下竖向非均匀地基波阻板主动隔振分析[J].振动与冲击,2013,32(22):57-62.GAO Guangyun,CHEN Gongqi,ZHANG Bo. Active vibration isolation using WIB in non-uniform ground under train loadings[J]. Journal of Vibration and Shock,2013,32(22):57-62.(in Chinese)
[8]高广运,王非,陈功奇,等.轨道交通荷载下饱和地基中波阻板主动隔振研究[J].振动工程学报,2014,27(3):433-440.GAO Guangyun,WANG Fei,CHEN Gongqi,et al. Active vibration isolation of the saturated ground with wave impedance block inside and under the load of the traveling train[J]. Journal of Vibration Engineering,2014,27(3):433-440.(in Chinese)
[9] TAKEMIYA H. Vibration propagation and mitigation for a pile-supported foundation by honeycomb-shaped WIB[C]. Environmental Vibration:Prediction,Monitoring and Evaluation,Beijing:China Communications Press,2003:267-290.
[10] TAKEMIYA H. Field vibration mitigation by honeycomb WIB for pile foundations of a highspeed train viaduct[J]. Soil Dynamics and Earthquake Engineering,2004,24(1):69-87.
[11]李志江,何锃,谭燕,等. HWIB用于高速铁路引发低频振动的隔振分析[J].华中科技大学学报(自然科学版),2011,39(3):34-38.LI Zhijiang,HE Zeng,TAN Yan,et al. Isolation analysis of low-frequency vibration from high speed railways by using HWIB[J]. Journal of Huazhong University of Science and Technology(Natural Science Edition),2011,39(3):34-38.(in Chinese)
[12] BESKOS D E,DASGUPTA G,VARDOULAKIS I G. Vibration isolation using open or filled trenches part 1:2-D homogeneous soil[J]. Computational Mechanics,1986,1(1):43-63.