摘要
为建立粘弹性耗能结构整体系统的精确模态分解反应谱设计法,对单自由度一般线性粘弹性阻尼器耗能减震系统随机地震响应进行系统研究.在进行时域非扩阶精确建模基础上,应用传递函数法,得到结构整体系统时域瞬态响应精确解;然后,运用标准振子分解法,将基于Kanai-Tajimi的响应方差精确分解为一阶和二阶标准振子响应方差的线性组合,并用算例验证了本文方法的正确性,从而建立了耗能结构整体系统基于Kanni-Tajimi激励响应特性分析的一整套方法.
In order to establish the accurate modal decomposition response spectrum method for the whole system of viscoelastic energy dissipation structure, the stochastic seismic response of a single degree of freedom system with general linear viscoelastic damper is studied systematically. The exact dynamic integral-differential response equations in original structural space for SDOF dissipation systems with general linear viscoelastic damper are established. Then, by using transfer functions method, the exact solutions in original structural for space displacement, velocity and damper force transient responses due to arbitrary exterior dynamic loading and initial conditions are obtained. Finally, by using standard oscillator decomposition method, the random stationary response variance of displacement, velocity and damper force velocity can be exactly decomposed of linear combinations for the first-order standard oscillator and the second-order standard oscillator. The correctness of the method is verified by the numerical example and a set of methods for the analysis of structural system based on Kanni-Tajimi excitation spectrum is established.
出处
《广西科技大学学报》
2017年第3期16-25,51,共11页
Journal of Guangxi University of Science and Technology
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项目资助
关键词
传递函数法
标准振子分解法
随机响应
精确解
粘弹性耗能结构整体系统
transfer function method
standard oscillator decomposition method
random response
exact solution
whole system of viscoelastic energy dissipation structure
