基于部分加速度测量的结构Bouc-Wen非线性恢复力及质量识别  

Identification of Bouc-Wen Nonlinear Restoring Force and Mass of Structures with Limited Acceleration Measurements

作　　者：程骄阳 许斌[2,3] 贺佳[1] CHENG Jiaoyang;XU Bin;HE Jia(College of Civil Engineering,Hunan University,Changsha 410082,China;College of Civil Engineering,Huaqiao University,Xiamen 361021,Fujian China;Key Laboratory for Structural Engineering and Disaster Prevention of Fujian Province,Huaqiao University,Xiamen 361021,Fujian China)

机构地区：[1]湖南大学土木工程学院,长沙410082 [2]华侨大学土木工程学院,福建厦门361021 [3]华侨大学福建省结构工程与防灾重点实验室,福建厦门361021

出　　处：《噪声与振动控制》2018年第2期179-187,共9页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(50978092)

摘　　要：结构非线性行为识别是结构灾后损伤评估的关键。扩展卡尔曼滤波(Extended Kalman Filter,EKF)有助于解决结构动力响应测量不完备的问题,但一般要求结构质量已知。针对仅部分加速度响应已知和结构质量未知情况下结构非线性恢复力的识别问题,提出一种结合EKF和最小二乘算法的结构非线性恢复力及质量识别的迭代算法。该方法基于质量估计值和部分自由度上的加速度响应测量,通过EKF预测完整响应时程,再利用最小二乘法识别修正质量分布,循环迭代至收敛,最后基于质量收敛值实现物理参数(刚度、阻尼、非线性)的识别,进而得到非线性恢复力。以一个含Bouc-Wen磁流变阻尼器的多自由度体系的数值模型为例,考虑4种不同的质量初始误差,通过数值模拟验证该方法识别结构质量及非线性恢复力的有效性。同时考虑加速度测量噪声的影响,证明了该方法的鲁棒性。Structural nonlinear restoring force identification is critical for damage evaluation of structural disasters.Traditional extended Kalman filter(EKF)has been proposed to deal with the identification problems when limited measurements of dynamic responses are available,but it usually requires that the structural mass is known.To identify the structural nonlinear restoring forces with the structural mass unknown and the acceleration responses partially known,an iterative approach is proposed based on the EKF and least square method.In this approach,based on the assessed mass and the partially known acceleration responses,the entire time-history process of the response can be predicted using the EKF.Then,least square method is utilized to identify the updated mass distribution.This iterative procedure is carried out until the result converges.Finally,based on the updated mass,physical parameters of stiffness and damping and nonlinear parameters of the structure can be identified.Furthermore,the nonlinear restoring force of the structure can be determined.Taking a multi-DOF structure with a Bouc-Wen magneto-rheological(MR)damper as an example,and considering four types of different initial errors of the mass,the mass and the non-linear restoring force of the structure are identified by means of numerical simulation with this approach.The effectiveness and feasibility of this approach are verified.Meanwhile,considering the influence of the acceleration measurement noise,robustness of this approach is proved.

关 键 词：振动与波 扩展卡尔曼滤波方法 最小二乘法 BOUC-WEN模型 磁流变阻尼器 非线性恢复力 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3