交通荷载诱发邻近建筑垂向随机振动数值分析
|
摘要
以无限长Kelvin地基上的Kirchhoff板模拟路面支撑体系,将1/2车辆模型与受振建筑耦合进统一的有限元数值模型.视无限长路面为周期性链式子结构,通过证明有阻尼链式子结构的辛正交特性,建立一个典型路面子结构模型.应用垂向耦合随机振动的二维移动单元格式,在频域内基于虚拟激励法进行数值求解,分析了振源-支撑体系-受振结构统一模型下的垂向动力学响应.数值算例表明:车辆诱发的随机振动给邻近建筑带来显著的加速度响应,避免了人工边界的截断误差,数值方法对复杂随机振动系统有较高的计算效率和精度.
A longitudinal infinite Kirchhoff plate with Kelvin foundation was employed to model the pavement system,and the infinitely long road surface was regarded as a periodic chain-type substructure.Models of a half vehicle and an adjacent building were coupled to the plate to produce a unified finite element model. By proving the symplectic orthogonal characteristic for the damped chain substructure,a typical model of road substructure was built. The two-dimensional moving element of vertical coupling random vibration was formulated. Using the pseudo excitation method,vertical dynamic responses of the unified model of vibration source,supporting structure and vibrated structure were analyzed. The numerical examples showed that the random vibration induced by vehicles brought dramatic acceleration response,and complex boundary conditions could be avoided effectively. The computational accuracy and efficiency were also demonstrated numerically.
A longitudinal infinite Kirchhoff plate with Kelvin foundation was employed to model the pavement system,and the infinitely long road surface was regarded as a periodic chain-type substructure.Models of a half vehicle and an adjacent building were coupled to the plate to produce a unified finite element model. By proving the symplectic orthogonal characteristic for the damped chain substructure,a typical model of road substructure was built. The two-dimensional moving element of vertical coupling random vibration was formulated. Using the pseudo excitation method,vertical dynamic responses of the unified model of vibration source,supporting structure and vibrated structure were analyzed. The numerical examples showed that the random vibration induced by vehicles brought dramatic acceleration response,and complex boundary conditions could be avoided effectively. The computational accuracy and efficiency were also demonstrated numerically.
引文
[1]夏禾.交通环境振动工程[M].北京:科学出版社,2010.
[2] HAYAKAWA K. Ground vibrations isolation by PC wall-piles[C]∥Proceeding of 4th International Conference on Case Histories in Geotechnical Engineering. Saint Louis,1998:662-667.
[3] KURZWEIL L G. Ground-borne noise and vibration from underground rail systems[J]. Journal of sound and vibration,1979,66(3):173-182.
[4] DEGRANDE G,LOMBAERT G. High-speed train induced free field vibration:in situ measurements and numerical modelling[C]∥Proceeding of the International Workshop on Wave Propagation,Moving Load and Vibration Reduction. Rotterdam,2000:29-41.
[5]曹艳梅,夏禾,王昆鹏,等.紧邻既有铁路桥基础施工对行车影响的预评估[J].铁道学报,2013,35(3):95-101.
[6]翟婉明.车辆-轨道耦合动力学[M].北京:中国铁道出版社,1997.
[7]蒋红光,边学成,徐翔,等.列车移动荷载下高速铁路板式轨道路基动力性态的全比尺物理模型试验[J].岩土工程学报,2014,36(2):334-362.
[8]冯青松,雷晓燕,练松良.解析法分析铁路环境振动的列车随机激振荷载[J].华东交通大学学报,2013,30(5):1-7.
[9]崔高航,陶夏新,陈宪麦.轨道交通引起地面环境振动最小二乘法分析[J].哈尔滨工业大学学报,2008,40(8):1184-1188.
[10]林家浩,张亚辉,赵岩.虚拟激励法在国内外工程界的应用回顾与展望[J].应用数学和力学,2017,38(1):1-31.
[11]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[12]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[2] HAYAKAWA K. Ground vibrations isolation by PC wall-piles[C]∥Proceeding of 4th International Conference on Case Histories in Geotechnical Engineering. Saint Louis,1998:662-667.
[3] KURZWEIL L G. Ground-borne noise and vibration from underground rail systems[J]. Journal of sound and vibration,1979,66(3):173-182.
[4] DEGRANDE G,LOMBAERT G. High-speed train induced free field vibration:in situ measurements and numerical modelling[C]∥Proceeding of the International Workshop on Wave Propagation,Moving Load and Vibration Reduction. Rotterdam,2000:29-41.
[5]曹艳梅,夏禾,王昆鹏,等.紧邻既有铁路桥基础施工对行车影响的预评估[J].铁道学报,2013,35(3):95-101.
[6]翟婉明.车辆-轨道耦合动力学[M].北京:中国铁道出版社,1997.
[7]蒋红光,边学成,徐翔,等.列车移动荷载下高速铁路板式轨道路基动力性态的全比尺物理模型试验[J].岩土工程学报,2014,36(2):334-362.
[8]冯青松,雷晓燕,练松良.解析法分析铁路环境振动的列车随机激振荷载[J].华东交通大学学报,2013,30(5):1-7.
[9]崔高航,陶夏新,陈宪麦.轨道交通引起地面环境振动最小二乘法分析[J].哈尔滨工业大学学报,2008,40(8):1184-1188.
[10]林家浩,张亚辉,赵岩.虚拟激励法在国内外工程界的应用回顾与展望[J].应用数学和力学,2017,38(1):1-31.
[11]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[12]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.