刚度非均匀分布对可恢复功能复合结构体系动力特性的影响  

Influence of nonuniform stiffness distribution on dynamic characteristics of earthquake resilient dual-systems

作　　者：武大洋 杨国涛 赵斌[2] 杜永峰[3] WU Dayang;YANG Guotao;ZHAO Bin;DU Yongfeng(College of Civil Engineering,Qingdao University of Technology,Qingdao 266520,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Institute of Earthquake Protection and Disaster Mitigation,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]青岛理工大学土木工程学院,山东青岛266520 [2]同济大学土木工程防灾国家重点实验室,上海200092 [3]兰州理工大学兰州理工大学防震减灾研究所,甘肃兰州730050

出　　处：《建筑结构学报》2023年第10期49-61,共13页Journal of Building Structures

基　　金：国家自然科学基金项目(51978351);国家重点研发计划(2019YFC1509505);山东省自然科学基金项目(ZR2020QE277)。

摘　　要：为分析多层结构刚度非均匀分布对可恢复功能复合结构体系动力特性的影响,在均匀刚度模型基础上提出可恢复功能复合结构体系刚度非均匀分布模型。考虑复合体系中主次体系的刚度分布特征,分别将其简化为具有特定刚度非均匀分布的剪切梁和弯曲梁,次体系底部的摇摆、自复位和耗能机制分别简化为转动弹簧和转动阻尼。通过求解特征方程得到特征值和复模态方程,分析了刚度非均匀参数、剪弯刚度比、转动刚度参数和耗能参数对体系模态周期、阻尼比、位移、位移转角和层间位移集中系数等动力特性和响应的影响规律。结果表明,当刚度非均匀分布程度较严重时,复合体系高阶模态周期、模态阻尼比和层间位移集中系数等动力特性受影响明显,但对于刚度非均匀程度中等以下的情况,可以直接采用均匀刚度模型的动力特性进行分析并进行动力响应计算,可在一定程度上简化设计过程。To analyze the influence of nonuniform stiffness(NS)distribution of multi-story structures on the dynamic characteristics of earthquake resilient dual-systems,a NS distribution model of the system was proposed based on a uniform stiffness model.Considering the stiffness distribution characteristics of the primary and secondary subsystems,they were respectively simplified as a shear beam and a flexural beam with specific NS distribution,and the rocking,self-centering and energy dissipation mechanisms at the bottom of the secondary subsystem were respectively simplified as a rotating spring and a damping element.After obtaining eigenvalues and complex modal equations by solving the characteristic equation,the influence of the NS parameter,shear-flexural stiffness ratio,rotational stiffness parameter,and energy dissipation parameter on the dynamic characteristics of the system,such as the modal period,damping ratio,displacement,displacement angle,and interstory displacement concentration coefficient,is analyzed.It is found that when the degree of NS distribution is severe,the dynamic characteristics of the system,such as the higher-mode modal periods,modal damping ratios,and interstory displacement concentration coefficients,are significantly affected.However,when the degree of NS distribution is moderate or below,the dynamic characteristics of the uniform stiffness model can be directly used for analysis,which can simplify the design process.

关 键 词：可恢复功能结构 非均匀刚度 参数分析 动力特性 分布参数模型 摇摆机制 耗能机制 

分 类 号：TU352.101[建筑科学—结构工程] TU311.41