非线性干摩擦阻尼器连接的相邻结构随机振动分析
|
摘要
用耗能装置连接两相邻结构是减小结构地震响应的一种实际而有效的方法。文中将两个用非线性干摩擦阻尼器连接的相邻结构简化为两自由度系统,对结构在地震激励下的运动方程进行等效线性化处理,求得结构在过滤白噪声地震激励下的Lyapunov方程。利用最速下降法迭代求得系统的平稳响应。结果表明:干摩擦阻尼器能有效地降低结构的地震响应,并能在较宽的频率范围内起到很好的减震作用。
The two adjacent buildings with energy dissipation devices are a practical and effective approach to mitigating seismic response.The two adjacent buildings connected with non-linear dry friction damper are simplified as a two-degree-of-freedom system.For the equation of motion of the system under seismic excitation,the Lyapunov equation is derived using equivalent linearization method.The seismic load is treated as filtered white noise excitation,and then the stationary response is obtained by iteration with steepest descent algorithm.The results of analysis demonstrate that the non-linear dry friction damper could mitigate effectively structural seismic response and offers wideband vibration suppression for earthquake attacks.
The two adjacent buildings with energy dissipation devices are a practical and effective approach to mitigating seismic response.The two adjacent buildings connected with non-linear dry friction damper are simplified as a two-degree-of-freedom system.For the equation of motion of the system under seismic excitation,the Lyapunov equation is derived using equivalent linearization method.The seismic load is treated as filtered white noise excitation,and then the stationary response is obtained by iteration with steepest descent algorithm.The results of analysis demonstrate that the non-linear dry friction damper could mitigate effectively structural seismic response and offers wideband vibration suppression for earthquake attacks.
引文
1Bhaskararao A V,Jangid R S.Harmonic response of adjacent struc-tures connected with a friction damper.Journal of Sound and Vibra-tion,2006;292:710—725
2Xu Y L,He Q,Ko J M.Dynamic response of damper-connected ad-jacent buildings under earthquake excitation.Engineering Structures,1999;21:135—148
3朱宏平,俞永敏,唐家祥.地震作用下主2从结构的被动优化控制研究.应用力学学报,2000;17(2):63—69
4朱宏平,杨紫健,唐家祥.利用连接装置控制两相邻结构的地震动响应.振动工程学报,2003;16(1):56—61
5Bhaskararao A V,Jangid R S.Seismic analysis of Structures connect-ed with friction dampers.Engineering Structures,2006;28:690—703
6白鸿柏,张培林,郑坚,等.滞迟振动系统及其工程应用.北京:科学出版社,2002
7Wen YK.Equivalent linearization for hysteretic systems under random excitation.J Appl Mech ASME,1980;47(1):150—154
2Xu Y L,He Q,Ko J M.Dynamic response of damper-connected ad-jacent buildings under earthquake excitation.Engineering Structures,1999;21:135—148
3朱宏平,俞永敏,唐家祥.地震作用下主2从结构的被动优化控制研究.应用力学学报,2000;17(2):63—69
4朱宏平,杨紫健,唐家祥.利用连接装置控制两相邻结构的地震动响应.振动工程学报,2003;16(1):56—61
5Bhaskararao A V,Jangid R S.Seismic analysis of Structures connect-ed with friction dampers.Engineering Structures,2006;28:690—703
6白鸿柏,张培林,郑坚,等.滞迟振动系统及其工程应用.北京:科学出版社,2002
7Wen YK.Equivalent linearization for hysteretic systems under random excitation.J Appl Mech ASME,1980;47(1):150—154
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心