实用黏弹性阻尼耗能系统非均匀非平稳巴斯金谱地震响应的一般精细解析解

A general fine analytical solution for the non-uniform and non-stationary Baskin spectrum seismic response of viscoelastic energy dissipation system

针对设置支撑的实用黏弹性阻尼器耗能减震系统,结合虚拟激励法,构建非均匀调制非平稳巴斯金谱地震响应的一般精细解析解。首先对于设置支撑的单自由度实用黏弹性阻尼耗能减震结构模型,利用扩阶的方法得到耗能体系的状态方程。然后在高效的虚拟激励法基础上,提出多项式-指数-简谐精细积分一般格式,得到8种常见均匀与非均匀调制非平稳巴斯金谱随机地震激励下的响应具体解析解。算例分析表明:本文方法与传统方法计算结果一致,且一般格式可表示多种精细积分格式,具有广泛的适用性,为进一步研究该耗能减震系统的抗震动力可靠度和抗震设计方法提供了理论依据。

For a practical viscoelastic energy dissipation system with struts,a general fine analytical solution of the non-uniform modulated non-stationary Baskin spectrum seismic response is constructed by combining the pseudo excitation method.Firstly,for the single degree of freedom practical viscoelastic damping energy dissipation structure model with struts,the state equation of energy dissipation system is obtained by using the method of order expansion.Then,on the basis of the efficient pseudo excitation method,the general form of polynomial index simple harmonic precise integration is proposed,and the specific response under eight kinds of common uniform and non-uniform modulation non-stationary Baskin spectrum random earthquake excitation is obtained in analytical solution forms.The analysis of the calculation example shows that the method in this paper is consistent with the calculation results of the traditional method,and the general format can represent a variety of fine integration formats,which has a wide range of applicability.It provides a theoretical basis for further research on the reliability of anti-vibration force and the establishment of anti-seismic design method of the energy dissipation system.