| 基于正交分解的非线性结构外荷载识别方法研究 |
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| 引用本文： | 郭丽娜,贾献卓,赵博宇,丁勇,白立波. 基于正交分解的非线性结构外荷载识别方法研究[J]. 地震工程与工程振动, 2021, 41(1): 184-192 |
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| 作者姓名： | 郭丽娜 贾献卓 赵博宇 丁勇 白立波 |
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| 作者单位： | 东北农业大学水利与土木工程学院,黑龙江哈尔滨150038;哈尔滨工业大学结构工程与控制教育部重点实验室,黑龙江哈尔滨150090;北京工业大学建筑工程学院,北京100022;中电建冀交高速公路投资发展有限公司,河北石家庄050000;哈尔滨工业大学结构工程与控制教育部重点实验室,黑龙江哈尔滨150090;中电建冀交高速公路投资发展有限公司,河北石家庄050000 |
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| 基金项目： | 国家自然科学基金项目(51308160);国家重点研发计划项目(2020YFF0304301,2017YFC0703603);东北农业大学青年学者基金项目(18QC31);中国地震局工程力学研究所基本科研业务费专项资助项目(2019D24);河北省交通运输厅课题项目(TH-201902,TH-201919)。 |
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| 摘 要： | 提出一种基于切比雪夫正交分解的非线性结构外荷载识别方法及分解阶数确定办法。在识别过程中建立非线性结构体系状态空间方程,并将切比雪夫正交多项式展开系数扩展于状态量,对状态量进行递推估计。通过结构反应频域分析筛选频率范围并确定正交多项式项数。文中将通过6层隔震结构、波形钢腹板PC组合梁桥的数值仿真和3层隔震框架的振动台试验验证所提基于正交分解的荷载识别方法可行性。研究结果表明,基于切比雪夫正交基分解的外荷载识别方法及正交基项数确定方法,适用于非线性结构的荷载识别。从识别效果上看,即使在噪声及模型误差因素的影响下外荷载仍然能够得到较好的识别。
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| 关 键 词： | 隔震结构 荷载识别 正交分解 切比雪夫多项式 状态空间 |
A load estimation method based on orthogonal decomposition for nonlinear structures |
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| GUO Lina,JIA Xianzhuo,ZHAO Boyu,DING Yong,BAI Libo. A load estimation method based on orthogonal decomposition for nonlinear structures[J]. Earthquake Engineering and Engineering Vibration, 2021, 41(1): 184-192 |
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| Authors: | GUO Lina JIA Xianzhuo ZHAO Boyu DING Yong BAI Libo |
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| Affiliation: | (College of Water Conservancy and Civil Engineering,Northeast Agricultural University,Harbin 150038,China;Key Lab of Structures Dynamic Behavior and Control,Harbin Institute of Technology,Harbin 150090,China;College of Architecture and Civil Engineering,Beijing University of Technology,Beijing 100022,China;Zhong Dian Jian Ji Jiao Highway Investment Development Company Limited,Shijiazhuang 050000,China) |
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| Abstract: | In this paper,a method of external load identification based on orthogonal decomposition for nonlinear structures and a practical method for determining the number of orthogonal basis terms are proposed.The state space equation of nonlinear structural system is built,and the Chebyshev orthogonal polynomial coefficient is extended to the state variable to estimate recursively.Based on the frequency domain analysis of structural response,the frequency range of structural response can determine the terms of orthogonal polynomials.The feasibility of the proposed method is verified by numerical simulation analysis of a seismically isolated building and a bridge girder with corrugated steel webs and shaking table test of a three-storey isolated frame.The identification results show that the method proposed in this paper can be used to identify the external load of nonlinear structures.From the perspective of identification effect,even under the influence of noise and model error factors,the external load can still be identified well. |
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| Keywords: | seismically isolated structure load identification orthogonal decomposition Chebyshev polynomial state space |
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