[1]刘庆林,孙攀旭,杨红.基于等效复阻尼理论的模态叠加法[J].地震工程与工程振动,2018,(02):121-129.[doi:10.13197/j.eeev.2018.02.121.liuql.014]
 LIU Qinglin,SUN Panxu,YANG Hong.A mode superposition method based on equivalent complex damping[J].EARTHQUAKE ENGINEERING AND ENGINEERING DYNAMICS,2018,(02):121-129.[doi:10.13197/j.eeev.2018.02.121.liuql.014]
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基于等效复阻尼理论的模态叠加法
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《地震工程与工程振动》[ISSN:/CN:]

卷:
期数:
2018年02
页码:
121-129
栏目:
论文
出版日期:
2018-08-03

文章信息/Info

Title:
A mode superposition method based on equivalent complex damping
作者:
刘庆林1 孙攀旭2 杨红23
1. 深圳信息职业技术学院 交通与环境学院, 广东 深圳 518172;
2. 重庆大学 土木工程学院, 重庆 400045;
3. 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
Author(s):
LIU Qinglin1 SUN Panxu2 YANG Hong23
1. School of Traffic and Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400045, China;
3. Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education, Chongqing University, Chongqing 400045, China
关键词:
复阻尼频率相关黏性阻尼短时傅里叶变换Caughey阻尼模态叠加
Keywords:
complex dampingfrequency dependant viscous dampingshort-time Fourier transformCaughey dampingmode superposition
分类号:
TU311.3
DOI:
10.13197/j.eeev.2018.02.121.liuql.014
摘要:
依据对偶原则,频率相关黏性阻尼是复阻尼在实数域中的表达形式,可作为一种等效复阻尼,且具有稳定性和每一循环消耗能量与激励频率无关的优点。将地震波的卓越频率作为激励频率,结合短时傅里叶变换,提出了单一材料结构频率相关黏性阻尼的模态叠加法;对于不同材料阻尼特性混合结构的频率相关黏性阻尼,利用最小二乘法拟合Caughey阻尼矩阵,以近似模拟频率相关黏性阻尼矩阵,提出了Caughey阻尼理论模态叠加法,成果实现了单一材料和混合材料结构等效复阻尼运动方程的模态叠加法,为基于复阻尼理论的结构振型分解反应谱法提供理论依据。
Abstract:
Based on the duality principle, frequency dependent viscous damping is the expression form of complex damping in real number field. It is an equivalent complex damping. Its energy consumption is independent of excitation frequency in every cycle. Earthquake dominant frequency is regard as excitation frequency. Combining with the short-time Fourier transform, mode superposition method of frequency dependant viscous damping of the single material structure is put forward. By the least square method, Caughey damping matrix can become the approximate frequency dependent viscous damping matrix. Mode superposition method of structures of multiple material damping characteristics is put forward. The above research results realize mode superposition of equivalent complex damping of single material structure and mixed material structure. Then they provide the theory basis for mode-superposition response spectrum method based on the complex damping theory.

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备注/Memo

备注/Memo:
收稿日期:2017-05-25;改回日期:2017-08-15。
基金项目:国家自然科学基金项目(51578343)
作者简介:刘庆林(1969-),男,高级工程师,博士,主要从事结构分析、计算与设计理论研究.E-mail:liu2xa@vip.163.com
通讯作者:孙攀旭(1990-),男,博士生,主要从事结构抗震设计与计算研究.E-mail:sunpanxu@163.com
更新日期/Last Update: 1900-01-01