建筑结构学报2025，Vol.46Issue(6)：118-127,10.DOI:10.14006/j.jzjgxb.2024.0405
竖向混合结构自振特性不确定性量化和参数全局灵敏度分析
Uncertainty quantification and global sensitivity analysis of free-vibration of vertically hybrid structures
摘要
Abstract
The free vibration analysis of vertically hybrid structures is an important reference for their dynamic design.By taking a real reinforced concrete(RC)-steel vertically hybrid structure as an example,the explicit expressions of vibration modes considering the randomness of structural parameters were obtained using the homotopy stochastic finite element method.On this basis,the concept of coincidence rate was proposed to quantify the proximity of the vibration frequencies of the superstructure to that of the overall and main structures.The importance ranking of the influencing factors of the structural free vibration characteristics at the component level was completed through a global sensitivity analysis of the stochastic parameters.The numerical results show that,although the fundamental vibration frequency of the upper steel frame is designed to be far away from the first three vibration frequencies of the vertically hybrid structure and the main structure,it is easy to coincide with the higher-order vibration frequencies of the overall structure,and the variability of the parameters of the superstructure is more likely to cause an increase in the coincidence rate.The main influencing factors of the same order vibration frequency and mode do not originate from the same structural member,when the coincidence rate between the frequency of the overall structure and the fundamental frequency of the superstructure is high,the influence factors of the vibration frequency and mode will be consistent,and both are most sensitive to the superstructure parameters.关键词
竖向混合结构/自振频率/自振振型/全局灵敏度/同伦随机有限元法Key words
vertically hybrid structure/vibration frequency/vibration mode/global sensitivity/homotopy stochastic finite element method分类
建筑与水利引用本文复制引用
张衡,吴先峰,黄斌,吴志峰..竖向混合结构自振特性不确定性量化和参数全局灵敏度分析[J].建筑结构学报,2025,46(6):118-127,10.基金项目
国家自然科学基金项目(51978545),湖北省教育厅科学研究计划重点项目(D20231305). （51978545）
