单自由度复阻尼耗能减震结构的等效系统研究  

Study on equivalent system of passive energy dissipation structure of single degree of freedom with complex damping

作　　者：李创第[1,2] 谭伟东 葛新广[2] 柏大炼 LI Chuang-di;TAN Wei-dong;GE Xin-guang;Bai Da-lian(College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Department of Civil Engineering,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《广西大学学报（自然科学版）》2021年第2期268-277,共10页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(51468005);广西科技大学创新团队支持计划项目(校发[2016]31号)。

摘　　要：为了克服复阻尼耗能减震结构运动方程在时域求解时不能保证计算结果稳定收敛的缺陷,研究了此类结构的新型等效系统。首先,依据耗能减震结构的振动响应特性可通过其自振特性确定的性质,重构复阻尼耗能减震结构的基本分析方程,然后根据结构阻尼损耗因子为小量的特性,利用多尺度方法获得了单自由度复阻尼耗能减震结构的等效频率和等效阻尼比。经过对比分析表明,对于工程中常见的单自由度复阻尼耗能减震结构,即结构阻尼损耗因子小于0.4的情况下,该等效系统的误差可控制在2%以内,精度明显优于经典模态应变能法。算例表明该等效系统在地震激励作用下的动力响应计算结果稳定收敛。Considering that the time domain solution of the motion equation of the energy dissipation structure with complex damping can not guarantee the stable results of convergence,we designed a new equivalent system of this kind of structure.Firstly,according to the property that the vibration response characteristics of energy dissipation structures can be determined by their natural vibration characteristics,the basic analysis equation of energy dissipation structure with complex damping was rebuilt.And then based on the fact features that the damping loss factor of the structures is small,the equivalent frequency and damping ratio of energy dissipation structure of a single degree of freedom with complex damping were obtained by using the multi-scale method.The comparative analysis shows that,for the common energy dissipation structure of single degree of freedom with complex damping in engineering,when the damping loss factor of the structure is less than 0.4,the error of the equivalent system can be controlled within 2%,and the accuracy is obviously better than that of the classical modal strain energy method.The example shows that the result of dynamic response of equivalent system under earthquake excitation is stable and convergent.

关 键 词：复阻尼 时域 多尺度方法 等效频率 等效阻尼比 

分 类 号：TU311.3[建筑科学—结构工程]