建筑结构弹塑性地震响应计算的等价线性化法研究

Equivalent linear analysis in estimating nonlinear seismic responses of building structures

等价线性化法是一种可借助振型分解反应谱法计算结构非线性地震峰值响应的实用方法,并且能够在设计中预设结构的损伤位置和损伤程度,是一种值得推广的、并可用于复杂结构性能化抗震设计的工程实用分析方法。在前人研究的基础上,通过迭代计算确定结构的损伤模式,并采用更合理的等价线性化模型,完善了等价线性化法的实施流程,并采用该方法分析了一个平面规则结构与一个空间不规则结构的非线性地震峰值响应。与动力弹塑性分析结果的比较表明,所建议的等价线性化法在预测结构整体和局部构件的非线性地震峰值响应方面均具有较好的精度,且具有计算效率高,适用性强等特点。

Equivalent linear analysis that takes advantages of response spectrum analysis is effective and practical in estimating the nonlinear seismic responses of structures suffering from moderate damage,in which prescribed locations and extents of structural damage can be readily employed.These features make it a promising method to assist the performance-based seismic design,especially for irregular and complex structures.The framework of equivalent linear analysis is established based on existing studies,in which an iterative procedure is adopted to estimate the damage mode and a rational equivalent linear model is used.Its applications in estimating the peak seismic responses of both regular and irregular structures are demonstrated through case studies.Good agreement of the analysis results of both the global and local seismic responses between the equivalent linear analysis and nonlinear time history analysis is observed.Compared with nonlinear analysis procedures,equivalent linear analysis is more computationally economical and thus more applicable to irregular structures.