非线性准零刚度文物隔震系统动力特性分析  

Analysis of dynamic characteristics of nonlinear quasi-zero stiffness seismic isolation system for cultural relics

作　　者：孙刚 柏文[1,2] 戴君武 蔡粮锴[1,2] 赵守江 SUN Gang;BAI Wen;DAI Junwu;CAI Liangkai;ZHAO Shoujiang(Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China;Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin 150080,China;The Palace Museum,Beijing 100009,China)

机构地区：[1]中国地震局工程力学研究所地震工程与工程振动重点实验室,黑龙江哈尔滨150080 [2]地震灾害防治应急管理部重点实验室,黑龙江哈尔滨150080 [3]故宫博物院,北京100009

出　　处：《地震工程与工程振动》2024年第1期168-177,共10页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(52078471,52378542)。

摘　　要：为实现地震时浮放文物的安全防护,对一种非线性准零刚度隔震系统进行动力分析。构建隔震系统的刚度模型与运动平衡方程,使用谐波平衡法与牛顿迭代联合法进行理论分析,并使用四阶龙格-库塔(Runge-Kutta,R-K)数值分析法对运动平衡方程在简谐激励和地震动激励作用下进行数值分析。结果表明:非线性准零刚度文物隔震系统在简谐激励作用下,在外激励频率为低频阶段时,系统的响应存在不稳定区域,提高系统的阻尼比和刚度都会降低系统的不稳定区域范围以及系统的振幅响应峰值,使其趋于线性隔震系统的特征;增加系统的阻尼比可以降低隔震系统的有效起始频率,但在隔震有效频带范围内增加系统的阻尼比会使系统的传递系数增大;增加弹簧刚度会增大隔震系统有效初始频率,但可以降低系统在低频阶段的振幅响应,但在隔震系统有效频带范围内会增大系统的传递系数。数值分析表明隔震系统在不稳定区域范围内只存在2个稳定解,系统的响应状态与系统初始状态相关;系统在实际地震动激励作用下能显著降低输入地震动的加速度响应;隔震系统的减震系数对于长周期成分较少的地震动输入峰值变化不敏感,但对于长周期成分较多的地震动输入峰值变化较为敏感,表明系统对于短周期地震动的隔震性能更好,与在简谐激励作用下的理论分析结果一致。In order to realize the safety protection of floating cultural relics during earthquakes,a nonlinear quasi-zero stiffness isolation system is analyzed.The stiffness model and the motion balance equation of the isolation system were established,and the harmonic balance method and Newton iterative method were used for theoretical analysis,and the fourth-order R-K method was used for numerical analysis of the motion balance equation under harmonic excitation and ground motion excitation.The theoretical analysis results show that the nonlinear quasi zero stiffness of cultural relics of the isolation system under harmonic excitation,outer excitation frequency is low frequency phase,the response of the system is unstable region,therefore,if the rigidity and damping ratio of the system is improved the unstable area and peak amplitude response of the system will be reduced,and make it tend to be characteristic of the linear vibration isolation system.Increasing the damping ratio can reduce the effective initial frequency of the isolation system,but increasing the damping ratio in the effective frequency band will increase the transfer coefficient of the system.Increasing the spring stiffness will increase the effective initial frequency of the isolation system,but reduce the amplitude response of the system in the low frequency stage,but increase the transfer coefficient of the system in the effective frequency band of the isolation system.Numerical analysis shows that there are only two stable solutions in the unstable region,and the response state of the system is related to the initial state of the system.The system can significantly reduce the acceleration response of input ground motion under the action of actual ground motion excitation.The damping coefficient of the isolation system is insensitive to the change of the input peak value of the ground motion with less long period components,but is sensitive to the change of the input peak value of the ground motion with more long period components,indicating that the

关 键 词：非线性准零刚度系统 文物 隔震 地震 传递系数 

分 类 号：TU352.12[建筑科学—结构工程]