基于支撑刚度的消能减震结构最优阻尼参数研究  

RESEARCH ON OPTIMUM DAMPING PARAMETERS OF AN ENERGY DISSIPATION STRUCTURE BASED ON THE SUPPORT STIFFNESS

作　　者：兰香[1,2] 潘文 白羽[1,2] 张龙飞 余文正[1,2] LAN Xiang;PAN Wen;BAI Yu;ZHANG Long-fei;YU Wen-zheng(Faculty of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming 650500,China;Yunnan Earthquake Engineering Research Institute,Kunming 650500,China)

机构地区：[1]昆明理工大学建筑工程学院,昆明650500 [2]云南省工程抗震研究所,昆明650500

出　　处：《工程力学》2018年第8期208-217,共10页Engineering Mechanics

基　　金：国家自然科学基金项目(51368027;51168024)

摘　　要：基于传统消能减震体系力学模型的研究,提出考虑支撑等连接件刚度的实用减震体系力学模型。结合数学方法中的拉普拉斯变换和傅里叶变换,推导实用减震体系的传递函数及其频率特性。再利用频率响应曲线中的定点理论对频率特性进行深入研究,发现频率响应曲线的定点是曲线峰值能够达到的理论最低点,进一步推出实用减震体系的最优阻尼比和频响曲线最低峰值等参数的计算公式。最后通过单自由度体系验证了最优阻尼比的存在性,给出支撑刚度系数的建议取值范围,并通过工程实例说明支撑刚度系数在消能减震结构设计中的重要意义。A practical mechanical model of damping system considering the stiffness of the connection element was proposed,based on the research of mechanical models of traditional energy dissipation system.Firstly,the transfer function and frequency characteristic of the practical damping system were derived using the Laplace transform and the Fourier transform of the mathematical method.Subsequently,the fixed-point theory was used in the frequency response curves to examine the frequency characteristic.The results showed that the fixed-point of the frequency response curves was the theoretical lowest point the curves’peak value could reach.The optimal damping ratio and the minimum peak value of the frequency response curves were derived.Finally,the existence of the optimal damping ratio was verified by using a single degree of freedom system.A recommended range of the support stiffness coefficient was provided.Moreover,the importance of the support stiffness coefficient in energy dissipation structure designing was revealed by studying a project example.

关 键 词：消能减震 实用减震体系 支撑刚度 传递函数 定点理论 最优阻尼比 

分 类 号：TU352.1[建筑科学—结构工程] TU311.3