摘要
对单自由度广义Maxwell和多自由度Maxwell阻尼耗能结构非平稳随机地震响应问题进行了系统研究。首先通过构建单自由度和多自由度耗能结构在原始空间和扩阶空间上的特征值和特征向量的精确对应关系,将耗能结构位移、速度和阻尼器受力的时域响应计算公式用结构原始空间上的特征值和特征向量解析表出;然后针对7种经典均匀调制白噪声地震激励和2种经典均匀调制滤过白噪声地震激励,获得了耗能结构位移、速度和阻尼器受力的非平稳均方响应的解析解,并使耗能结构非平稳响应的解析分析与计算,完全转化为耗能结构在原始空间的特征值和特征向量的解析分析与计算,从而构建了基于耗能结构非扩阶特征值和特征向量分析,获得耗能结构非平稳地震响应解析解的一整套方法。
Non-stationary random seismic responses of a SDOF structure with generaliged Maxwell dampers and a MDOF structure with Maxwell dampers were studied systematically. The closed-form exact relationships among eigenvalues and eigenvectors of both systems in a structural extended state space and an original space were established, the exact solutions to displacement and velocity of energy dissipation structures and force of dampers were expressed using the system’s eigenvalues and eigenvectors in structural original space. Then, under seven kinds of classical amplitude uniformly modulated white noise seismic excitations and two kinds of classical amplitude uniformly modulated filtered white noise seismic excitations, the exact non-stationary mean-square response solutions to displacement and velocity and damper force of energy dissipation structures were obtained, respectively they were also expressed with eigenvalues and eigenvectors of the system in structural original space, so the analytical methods of exact non-stationary seismic response solutions for and samper force dissipation structures with Maxwell dampers based on analysis of eigenvalues and eigenvectors in their structural original space were established.
出处
《振动与冲击》
EI
CSCD
北大核心
2016年第19期172-180,共9页
Journal of Vibration and Shock
基金
国家自然科学基金项目(51468005
51368008)
广西自然科学基金项目(2014GXNSFAA118315)
广西科技大学创新团队支持计划
关键词
MAXWELL阻尼器
耗能结构
阻尼器受力响应
非平稳随机过程
解析解
Maxwell dampers
energy dissipation structures
forced response of dampers
non-stationary random process
analytical solutions
