基于精细积分法的结构碰撞反应谱研究
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摘要
碰撞是导致结构地震破坏的重要原因之一,其与两碰撞结构的动力性能和地震作用密切相关,应给出与两个结构动力参数相关的反应谱,以指导结构考虑碰撞的抗震设计。本文给出相邻结构碰撞加速度反应谱定义,推导了精细积分法碰撞计算公式,进行了该反应谱曲面的分析和探讨。结果表明,精细积分法适用于结构碰撞问题的计算,可得到高精度的解,无条件稳定且可提高计算效率。碰撞会加大结构的加速度响应;动力特性相同的两相邻结构产生的响应有差异;增大阻尼比和相邻结构阻尼比差别、以及设置足够大的初始间隙,可有效降低结构的碰撞响应。
Collision is one of the main reasons leading to damage of structures under earthquake excitation,it is closely related to structures' dynamic characteristics and earthquake action. Response spectra for two adjacent impacting structures related to their dynamic parameters should be deduced to guide their aseismic design considering impact. Here,acceleration response spectra for impact between two adjacent structures were defined, the calculation formulas of pounding based on precise time-integration method were derived,and the response spectra were analyzed and discussed.The study results indicated that the precise time-integration method with high accuracy,unconditionally stable and improved efficiency is suitable for the computation of structural impact problems; acceleration responses of structures increase due to pounding,the responses of two adjacent structures with the same dynamic characteristics are different; to increase damping ratios of the two structures and the difference between the two ratios,and to set up enough large initial gap between the two structures can effectively reduce their impact responses.
Collision is one of the main reasons leading to damage of structures under earthquake excitation,it is closely related to structures' dynamic characteristics and earthquake action. Response spectra for two adjacent impacting structures related to their dynamic parameters should be deduced to guide their aseismic design considering impact. Here,acceleration response spectra for impact between two adjacent structures were defined, the calculation formulas of pounding based on precise time-integration method were derived,and the response spectra were analyzed and discussed.The study results indicated that the precise time-integration method with high accuracy,unconditionally stable and improved efficiency is suitable for the computation of structural impact problems; acceleration responses of structures increase due to pounding,the responses of two adjacent structures with the same dynamic characteristics are different; to increase damping ratios of the two structures and the difference between the two ratios,and to set up enough large initial gap between the two structures can effectively reduce their impact responses.
引文
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[11]王君杰,喻志然.船撞设计冲击谱研究[J].振动与冲击,2014,33(14):11-14.WANG Jun-jie,YU Zhi-ran.Design impact spectrum for vessel-bridge collision analysis[J].Journal of Vibration and Shock,2014,33(14):11-14.
[12]Jankowski R.Pounding force response spectrum under earthquake excitation[J].Engineering Structures,2006,28(8):1149-1161.
[13]Jankowski R.Non-linear viscoelastic modelling of earthquake‐induced structural pounding[J].Earthquake Engineering&Structural Dynamics,2005,34(6):595-611.
[14]常春馨.现代控制理论基础[M].北京:机械工业出版社,1988.
[15]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[16]Mesguita C.Impacto entre Estruturas Adjacentes devido a Accao Sismica,M.Sc.dissertation[M].Instituto Superisor Tecnico,Lisbon,Portugal,1991.
[17]Azevedo J,Bento R.Design criteria for buildings subjected to pounding[C].Eleventh World Conference on Earthquake Engineering,Acapulco,Mexico,1996.
[18]van Mier J G M,Pruijssers A F,Reinhardt H W,et al.Load-time response of colliding concrete bodies[J].Journal of Structural Engineering,1991,117(2):354-374.
[2]Rosenblueth E,Meli R.The 1985 earthquake:causes and effects in Mexico City[M].1986.
[3]Newmark N M.A method of computation for structural dynamics[J].Journal of Engineering Mechanics,1959,85(3):249-260.
[4]Wilson E L,et al.Nonlinear dynamic analysis of complex structures[J].Earthquake Engineering and Structural Dynamics,1973,1(3):241-252.
[5]钟万勰.结构动力方程的精细时程积分[J].大连理工大学学报,1994,34(4):131-136.ZHONG Wan-xie.On precise time-intergration method for structural dynamics[J].Journal of Dalian University of Technology,1994,34(4):131-136.
[6]钟万勰.暂态历程的精细计算方法[J].计算结构力学及其应用,1995,12(1):1-6.ZHONG Wan-xie.Precise time-intergration method for the transient process[J].Computational structural Mechanics and Applications,1995,12(1):1-6.
[7]钟万勰.计算结构力学与最优控制.[M].大连:大连理工大学出版社,1993.
[8]克拉夫R,彭津J.结构动力学[M].王光远,译.北京:高等教育出版社,2006.
[9]Kawashima K,Sato T.Relative displacement response spectrum and its application[C].In:Eleventh World Conference on Earthquake Engineering,1996.
[10]Ruangrassamee A,Kawashima K.Relative displacement response spectra with pounding effect[J].Earthquake Engineering&Structural Dynamics,2001,30(10):1511-1538.
[11]王君杰,喻志然.船撞设计冲击谱研究[J].振动与冲击,2014,33(14):11-14.WANG Jun-jie,YU Zhi-ran.Design impact spectrum for vessel-bridge collision analysis[J].Journal of Vibration and Shock,2014,33(14):11-14.
[12]Jankowski R.Pounding force response spectrum under earthquake excitation[J].Engineering Structures,2006,28(8):1149-1161.
[13]Jankowski R.Non-linear viscoelastic modelling of earthquake‐induced structural pounding[J].Earthquake Engineering&Structural Dynamics,2005,34(6):595-611.
[14]常春馨.现代控制理论基础[M].北京:机械工业出版社,1988.
[15]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[16]Mesguita C.Impacto entre Estruturas Adjacentes devido a Accao Sismica,M.Sc.dissertation[M].Instituto Superisor Tecnico,Lisbon,Portugal,1991.
[17]Azevedo J,Bento R.Design criteria for buildings subjected to pounding[C].Eleventh World Conference on Earthquake Engineering,Acapulco,Mexico,1996.
[18]van Mier J G M,Pruijssers A F,Reinhardt H W,et al.Load-time response of colliding concrete bodies[J].Journal of Structural Engineering,1991,117(2):354-374.
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