A Non-Iterative Method for Dynamic Load Identification

YU Bo; WU Yue; NIE Chuanbao; GAO Qiang

doi:10.21656/1000-0887.390211

Volume 40 Issue 5

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2019 > 40(5): 473-489

YU Bo, WU Yue, NIE Chuanbao, GAO Qiang. A Non-Iterative Method for Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211

Citation:

YU Bo, WU Yue, NIE Chuanbao, GAO Qiang. A Non-Iterative Method for Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211

Citation:

YU Bo, WU Yue, NIE Chuanbao, GAO Qiang. A Non-Iterative Method for Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211

PDF( 7492 KB)

A Non-Iterative Method for Dynamic Load Identification

doi: 10.21656/1000-0887.390211

YU Bo,WU Yue,NIE Chuanbao,GAO Qiang

Funds: The National Natural Science Foundation of China(11872166;11502063)

Received Date: 2018-08-01
Rev Recd Date: 2018-09-11
Publish Date: 2019-05-01

Abstract

Abstract

To identify the load states of structures under complex environment quickly and accurately, a noniterative inversion method was proposed based on the finite element method and the Newmark-β method, and used to identify dynamic loads on structures. The relationship between the measurement information and the parameters to be identified was found out, and the error function was established. With the least squares method, the proposed method can estimate the dynamic load directly without iteration. What’s more, the basis function expansion was applied to inverse the distributed loads and help overcome the illposedness of the algorithm. Meanwhile, the singular value decomposition method was used to solve illconditioned equations. The effects of the measurement noise, the number of measurement points, the basis function expansion, the locations of measurement points and the time step on the inversed results were discussed in numerical examples. The results show that, the proposed method has high accuracy and efficiency for dynamic load identification problems.
- dynamic load identification,
- non-iterative inversion method,
- least squares method,
- basis function expansion

FullText(HTML)

References(23)

References

[1]	韩旭, 刘杰, 李伟杰, 等. 时域内多源动态载荷的一种计算反求技术[J]. 力学学报, 2009,41(4): 595-602.(HAN Xu, LIU Jie, LI Weijie, et al. A computational inverse technique for reconstruction of multisource loads in time domain[J]. Chinese Journal of Theoretical and Applied Mechanics,2009,41(4): 595-602.(in Chinese))
[2]	毛玉明, 林剑锋, 刘靖华, 等. 动载荷反演分析技术研究综述[J]. 动力学与控制学报, 2014,12(2): 97-104.(MAO Mingyu, LIN Jianfeng, LIU Jinghua, et al. Recent advances of dynamic force estimation techniques[J]. Journal of Dynamics and Control,2014,12(2): 97-104.(in Chinese))
[3]	杨志春, 贾友. 动载荷的识别方法[J]. 力学进展, 2015,45: 29-52.(YANG Zhichun, JIA You. The identification of dynamic loads[J]. Advances in Mechanics,2015,45: 29-52.(in Chinese))
[4]	郑敏, 任芳, 杨兆建, 等. 自适应BP神经网络的转子系统载荷识别的研究[J]. 机械设计与制造, 2016,6: 85-88, 92.(ZHENG Min, REN Fang, YANG Zhaojian, et al. Study on the load identification of the rotor system with self-adaptive BP neural networks[J]. Machinery Design & Manufacture,2016,6: 85-88, 92.(in Chinese))
[5]	杨帆, 张方, 姜金辉. 正交小波级数拟合法的薄板结构分布动载荷识别技术[J]. 北京理工大学学报, 2014,34(6): 561-564.(YANG Fan, ZHANG Fang, JIANG Jinhui. Orthogonal wavelet series fitting in identification of distributed load for thin plate model[J]. Transactions of Beijing Institute of Technology,2014,34(6): 561-564.(in Chinese))
[6]	CUI M, MEI J, ZHANG B W, et al. Inverse identification of boundary conditions in a scramjet combustor with a regenerative cooling system[J]. Applied Thermal Engineering,2018,134: 555-563.
[7]	WANG G J, WAN S B, CHEN H, et al. A double decentralized fuzzy inference method for estimating the time and space-dependent thermal boundary condition[J]. International Journal of Heat & Mass Transfer,2017,109: 302-311.
[8]	周焕林, 严俊, 余波, 等. 识别含热源瞬态热传导问题的热扩散系数[J]. 应用数学和力学, 2018,39(2): 160-169.(ZHOU Huanlin, YAN Jun, YU Bo, et al. Identification of thermal diffusion coefficients for transient heat conduction problems with heat sources[J]. Applied Mathematics and Mechanics,2018,39(2): 160-169.(in Chinese))
[9]	王一博, 杨海天, 邬瑞锋. 基于时域精细积分算法的瞬态传热多宗量反演[J]. 应用数学和力学, 2005,26(5): 512-518.(WANG Yibo, YANG Haitian, WU Ruifeng. Precise integral algorithm based solution for transient inverse heat conduction problems with multi-variables[J]. Applied Mathematics and Mechanics,2005,26(5): 512-518.(in Chinese))
[10]	WANG G J, WAN S B, CHEN H, et al. A double decentralized fuzzy inference method for estimating the time and space-dependent thermal boundary condition[J]. International Journal of Heat & Mass Transfer,2017,109: 302-311.
[11]	XU B, HE J, ROGER R, et al. Structural parameters and dynamic loading identification from incomplete measurements: approach and validation[J]. Mechanical Systems and Signal Processing,2012,28: 244-257.
[12]	徐训, 欧进萍. 基于独立分量分析的多源动态载荷识别方法[J]. 力学学报, 2012,44(1): 158-166.(XU Xun, OU Jinping. An identification method of multi-soure dynamic loads based on independent component analysis[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(1): 158-166.(in Chinese))
[13]	王静, 陈海波, 王靖. 基于精细积分的冲击载荷时域识别方法研究[J]. 振动与冲击, 2013,32(20): 81-85.(WANG Jing, CHEN Haibo, WANG Jing. A study of impulsive load identification in time domain based on precise time-integration method[J]. Journal of Vibration and Shock,2013,32(20): 81-85.(in Chinese))
[14]	LIU J, SUN X S, HAN X, et al. A novel computational inverse technique for load identification using the shape function method of moving least square fitting[J]. Computers and Structures,2014,144: 127-137.
[15]	彭凡, 马庆镇, 肖健, 等. 自由运行结构动态载荷识别的格林函数法[J]. 动力学与控制学报, 2016,14(1): 75-79.(PENG Fan, MA Qingzhen, XIAO Jian, et al. Green kernel function approach of load identification for free structures with overall translation[J]. Journal of Dynamics and Control,2016,14(1): 75-79.(in Chinese))
[16]	YU B, YAO W A, GAO Q, et al. A novel non-iterative inverse method for estimating boundary condition of the furnace inner wall[J]. International Communications in Heat & Mass Transfer,2017,87: 91-97.
[17]	YU B, XU C, YAO W A, et al. Estimation of boundary condition on the furnace inner wall based on precise integration BEM without iteration[J]. International Journal of Heat & Mass Transfer, 2018,122: 823-845.
[18]	SUN X, LIU J, HAN X, et al. A new improved regularization method for dynamic load identification[J]. Inverse Problems in Science & Engineering,2014,22(7): 1062-1076.
[19]	ZHOU H L, LI Y S, YU B, et al. Shape identification for inverse geometry heat conduction problems by FEM without iteration[J]. Numerical Heat Transfer Applications,2017,72(8): 1-14.
[20]	迟彬, 叶庆凯. 用奇异值分解方法计算具有重特征值矩阵的特征矢量[J]. 应用数学和力学, 2004,25(3): 233-238.(CHI Bin, YE Qingkai. Computing the eigenvectors of a matrix with multiplex eigenvalues by SVD method[J]. Applied Mathematics and Mechanics,2004,25(3): 233-238.(in Chinese))
[21]	张雄, 刘岩. 无网格法[M]. 北京: 清华大学出版社, 2004.(ZHANG Xiong, LIU Yan. Meshless Method [M]. Beijing: Tsinghua University Press, 2004.(in Chinese))
[22]	王勖成. 有限单元法[M]. 北京: 清华大学出版社, 2015.(WANG Xucheng. Finite Element Method [M]. Beijing: Tsinghua University Press, 2015.(in Chinese))
[23]	张雄, 王天舒, 刘岩. 计算动力学[M]. 北京: 清华大学出版社, 2015.(ZHANG Xiong, WANG Tianshu, LIU Yan. Computational Dynamics [M]. Beijing: Tsinghua University Press, 2015.(in Chinese))