| 李创第,樊新宇,柴一格,王瑞勃,葛新广.基于胡聿贤谱的多自由度惯容系统地震响应分析[J].计算力学学报,2025,42(4):646~654 |
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| 基于胡聿贤谱的多自由度惯容系统地震响应分析 |
| Seismic response analysis of a multi-degree-of-freedom inertial capacity system based on Hu Yuxian spectrum |
| 投稿时间：2023-06-12 修订日期：2023-12-15 |
| DOI：10.7511/jslx20230612004 |
| 中文关键词: 混联Ⅰ型惯容系统 胡聿贤谱 二次式分解法 抗震效果分析 参数分析 |
| 英文关键词:Series-Parallel-Ⅰ Inerter System (SPIS-I) Hu Yuxian spectrum quadratic decomposition method seismic effect analysis parametric analysis |
| 基金项目:国家自然科学基金(51468005);广西研究生教育创新计划(YCSW2022450);柳州市科技攻关与新产品试制项目(2022CCC0101)资助. |
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| 中文摘要: |
| 实际工程中通过布置控制系统来提高在复杂地震激励下结构的稳定性,其中惯容系统作为新型的结构控制系统在多自由度结构基于复杂激励下的研究较少。本文针对在多自由度结构中布置混联Ⅰ型惯容系统在地震激励下对结构抗震效果的影响进行了系统的分析。首先,对设置混联Ⅰ型惯容系统的多自由度结构建立运动方程,运用复模态法引入状态变量对运动方程进行解耦。其次,运用虚拟激励法获得结构响应的频域统一解,以胡聿贤谱为地震激励模型,运用二次式分解法获得简明的响应功率谱、响应方差和0~2阶谱矩解析解。最后,通过对一布置混联Ⅰ型惯容系统的多自由度结构算例与虚拟激励法获得的响应功率谱、响应方差和0~2阶谱矩进行对比,验证了本文方法的准确性,并对布置混联Ⅰ型惯容系统结构的抗震效果以及惯容参数对结构的抗震效果的影响进行系统分析。 |
| 英文摘要: |
| The stability of structures under complex seismic excitation can be improved by using a control system in practical engineering.However,an inertial system as a new type of structural control system in multi-degree-of-freedom structures based on complex excitation is less studied.In this paper,a systematic analysis is carried out to address the influence of a Series-Parallel-Ⅰ Inerter System (SPIS-I) in a multi-degree-of-freedom structure under seismic excitation.First,the equations of motion are established for a multi-degree-of-freedom structure set up as a SPIS-I, state variables are introduced to decouple the equations of motion using the complex modal method (CMM),and then the virtual excitation method is used to obtain a unified solution of the structural response in the frequency domain.Using the Hu Yuxian spectrum as the seismic excitation model,the quadratic decomposition method is applied to obtain the parsimonious response power spectrum,response variance and analytical solutions of the 0th-2nd order spectral moments.Finally,by comparing the response power spectrum,response variance and 0th-2nd order spectral moments obtained from the model of a multi-degree-of-freedom structure of a SPIS-I with the Pseudo-excitation method (PEM),the accuracy of the method in this paper is verified,the seismic effect of the structure under the SPIS-I and the influence of the inertial parameters on the seismic effect of the structure is also systematically analyzed. |
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