• •

### 基于复阻尼模型等效的黏性阻尼模型时域计算方法

1. 1.重庆大学 土木工程学院, 重庆 400045
2.重庆大学 山地城镇建设与新技术教育部重点实验室, 重庆 400045
3.深圳信息职业技术学院 交通与环境学院, 广东 深圳 518172
• 收稿日期:2020-01-27 出版日期:2021-06-28 发布日期:2021-06-30
• 通讯作者: 杨红 E-mail:yangh@cqu.edu.cn
• 作者简介:孙攀旭 (1990-),男,河南省许昌市人,博士生,从事结构抗震设计与计算
• 基金资助:
国家自然科学基金项目(51578343);重庆市研究生科研创新项目(CYB18036)

### Time-Domain Calculation Method of an Equivalent Viscous Damping Model Based on Complex Damping Model

SUN Panxu1, YANG Hong1,2(), ZHAO Zhiming1, LIU Qinglin3

1. 1. School of Civil Engineering, Chongqing University, Chongqing 400045, China
2. Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education, Chongqing University, Chongqing 400045, China
3. School of Traffic and Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, Guangdong, China
• Received:2020-01-27 Online:2021-06-28 Published:2021-06-30
• Contact: YANG Hong E-mail:yangh@cqu.edu.cn

Abstract:

The damping matrix of the complex damping model is easy to be constructed, which only depends on the material loss factor and the structural stiffness matrix. However, the complex damping model has some shortcomings, such as time-domain divergence and causality. Structural inherent characteristics are constant, so that the equivalent relationship between material loss factor and structural damping ratio is deduced and the viscous damping model which is equivalent to complex damping model is obtained. The proposed damping model overcomes the shortcoming of the complex damping model. Besides, the convenience that the complex damping model is directly dependent on material loss factor is retained. According to the equivalent relationship between the material loss factor and structural modal damping ratio, the real mode superposition method based on the proposed damping model is suggested for the proportional damping system. For the non-proportional damping system, according to the equivalent relationship between the material loss factor and modal damping ratio of the substructure, the complex mode superposition method based on the proposed damping model is proposed by the aid of Rayleigh damping and the state space method. The example analysis proves the feasibility and correctness of the proposed method.