Applications of Landweber Interation Regularization Method in Dynamic Load Identification
-
摘要: 在载荷识别过程中,由于结构矩阵的病态特性以及测量噪声的影响,常规最小二乘法往往失效,这就是反问题的不适定问题.Landweber迭代正则化方法可以用来解决载荷识别的不适定问题.线性系统的响应可以表示为载荷与单位脉冲响应函数的卷积分,将其在时域内离散后可得到结构振动响应的正问题模型.应用该方法,在一个桥梁模型上进行了仿真试验,仿真结果说明提出的识别方法是有效的,可以得到满足工程要求的稳定近似解.
-
关键词:
- 不适定性 /
- 载荷识别 /
- Landweber正则化
Abstract: The inverse problem of force identification was always ill-posed due to the inverse process of structural matrix and measurement noise in practical engineering and the ordinary least square method usually obtained the meaningless solution, which was called the ill-posed problem of the inverse problem. The Landweber iteration regularization method was proposed to overcome these problems. The load can be expressed as a series of kernels of impulse function in time domain and the total response of the system can be obtained with the product of the convolution integral of the kernel responses and the load. The load were identified on a bridge model. The simulation results show that the identification method proposed is effective and it can meet the engineering requirements of stable approximate solution.-
Key words:
- ill-posedness /
- force identification /
- Landweber regularization technique
-
[1] 许锋, 陈怀海, 鲍明. 机械振动载荷识别研究的现状与未来[J]. 中国机械工程, 2002,13(6): 526530.(XU Feng, CHEN Huai-hai, BAO Ming. Study on the general domain based model of force identification and its accuracy analysis[J] . Chinese Journal of Computational Mechanics,2002,13(6): 526-530.( in Chinese)) [2] 智浩, 文祥荣, 缪龙秀, 林家浩. 动态载荷的频域识别方法[J]. 北方交通大学学报, 2002, 24(4): 5-10.(ZHI Hao, WEN Xiang-rong, MIAO Long-xiu, LIN Jia-hao. Dynamic loading identification in frequency domain[J]. Journal of Northern Jiaotong University, 2002,24(4): 5-10.( in Chinese)) [3] 蔡元奇, 朱以文, 刘礼华. 动态载荷识别中的模态确定方法研究[J]. 振动工程学报, 2006, 19(4): 543-547(CAI Yuan-qi, ZHU Yi-wen, LIU Li-hua. Research on method for determining modality in dynamic load identification[J]. Journal of Vibration Engineering,2006, 19(4): 543547.( in Chinese)) [4] 张运良, 林皋, 王永学, 李志军, 李广伟. 一种改进的动态载荷时域识别方法[J]. 计算力学学报, 2004, 21(2):209-215(ZHANG Yun-liang, LIN Gao, WANG Yong-xue, LI Zhi-jun, LI Guang-wei. An improved method of dynamic load identification in time domain[J] . Chinese Journal of Computational Mechanics,2004,21(2) : 209-215.( in Chinese)) [5] Stevens K K. Force identification problems—an overview[C]//SEM Spring Conference on Experimental Mechanics,SEM, 1987: 838-844. [6] Starkey J M, Merrill G L. On the illconditioned nature of indirect forcemeasurement techniques[J]. The International Journal of Modal Analytical and Experimental Modal Analysis,1989,7: 103-108. [7] Inoue H, Kishimoto K, Shibuya T, Koizumi T. Estimation of impact load by inverse analysis(optimal transfer function for inverse analysis)[J]. JSME International Journal, Series I,1992,35(4): 420-427. [8] Inoue H, Ishida H, Kishimoto K, Shibuya T. Measurement of impact load by using an inverse analysis technique(comparison of methods for estimating the transfer function and its application to the instrumented Charpy impact test)[J]. JSME International Journal, Series I,1991, 34(4): 453-458. [9] Jacquelin E, Bennani A, Hamelin P. Force reconstruction: analysis and regularization of a deconvolution problem[J].Journal of Sound and Vibration,2003, 265(1): 81-107. [10] Landweber L. An iteration formula for Fredholm integaral equations of the first kind[J].American Journal of Mathematics,1951, 73(3): 615-624. [11] Fridman V M.Methods of successive approximation for Fredholm integral equations of the first kind[J].Uspekhi Mat Nauk,1956, 11(1): 233-234. [12] 王彦飞. 反演问题的计算方法及其应用[M]. 北京: 高等教育出版社, 2006: 51-59.(WANG Yan-fei. Computational Methods for Inverse Problems and Their Applications[M]. Beijing: Higher Education Press, 2006: 51-59.(in Chinese))
点击查看大图
计量
- 文章访问数: 1453
- HTML全文浏览量: 103
- PDF下载量: 1184
- 被引次数: 0