Processing math: 100%
EI、Scopus 收录
中文核心期刊
Xu Han, Jie Liu, Weijie Li. 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. DOI: 10.6052/0459-1879-2009-4-2008-038
Citation: Xu Han, Jie Liu, Weijie Li. 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. DOI: 10.6052/0459-1879-2009-4-2008-038

A computational inverse technique for reconstruction of multisource loads in time domain

  • Received Date: January 15, 2008
  • Revised Date: November 06, 2008
  • The knowledge of the dynamic load acting on the structure is always requiredand important in many practical engineering problems, such as structuralstrength analysis, health monitoring and fault diagnosis, and vibrationisolation. However, it is difficult to directly measure the dynamic load ona structure in some situations, such as the wind load on the tall building,the exciting force from road on the vehicle, etc. Meanwhile, the dynamicresponse measurement is correspondingly easy and accurate on a structure.Therefore, it is necessary to develop some inverse analysis techniques forload identification based on the measured dynamic responses.With the linearity and time-invariant suppositions, the loads are firstlyexpressed as a series of kernels of impulse functions or step functions intime domain and the total response of the system can be obtained using theproduct of the convolution integral of the kernel response and the loads.Through the discretization of convolution integral, the forward model forload identification is established. In fact, the inverse analysis for theload identification is to solve a deconvolution problem, but thedeconvolution is an ill-conditioned problem in which the noisy responses andhigh condition numbers of the kernel matrix will induce the amplified errorsin the identified load. Therefore, it is difficult to obtain a stable andaccurate solution for such inverse problems. To deal with ill-condition ofload reconstruction from the noisy responses, zero-phase digital filter,several regularization methods and optimized strategy for stable loadidentification are discussed. Through general filter, the noisy responsesignal will be smooth. But, it has a phase delaying compared with theoriginal signal, and the errors will also be amplified in the identifiedload. The zero-phase digital filter, whose phase error is zero in the curveof phase-frequency characteristic, is realized through reversing the timeserials of the signal. Moreover, a new extension algorithm is applied toimprove the performance of the filter. Comparing with the common differencefilter, this zero phase digital filter can not only avoid phase delaying,but also improve the wave aberration of the start and end section. After theinvestigation the ill-posedness arising from the inverse problem of loadreconstruction, Tikhonov regularization, truncated singular valuedecomposition and total least squares method are adopted to provideefficient and numerically stable solution of the desired unknown load, andthe L-curve method is proposed to determine the optimal regularizationparameter. In order to avoid the inverse operation of the matrix, manyoptimized methods can be available and here the conjugate gradient method isadopted. In the numerical example, the reconstruction of dynamic loads fromtwo sources with the noisy responses in the hood structure is investigated.The result indicates that the presented computational inverse technique iseffective and stable for the load identification with the noisy response intime domain.
  • Related Articles

    [1]Ye Youda, Zhang Hanxin, Jiang Qinxue, Zhang Xianfeng. SOME KEY PROBLEMS IN THE STUDY OF AERODYNAMIC CHARACTERISTICS OF NEAR-SPACE HYPERSONIC VEHICLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 1292-1310. DOI: 10.6052/0459-1879-18-247
    [2]Su Wenzheng, Zhang Yongcun, Liu Shutian. TOPOLOGY OPTIMIZATION FOR GEOMETRIC STABILITY OF STRUCTURES WITH COMPENSATION DISPLACEMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 214-222. DOI: 10.6052/0459-1879-12-295
    [3]Fengqiang Shen. An optimal algorithm of the generalized jacobi method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 319-324. DOI: 10.6052/0459-1879-2010-2-2008-043
    [4]Tong Gao, Weihong Zhang, Jihong Zhu. Structural topology optimization under inertial loads[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(4): 530-541. DOI: 10.6052/0459-1879-2009-4-2008-326
    [5]Fengtao Zhang, Kai Cui, Guowei Yang, Yuanyuan Cui. Optimization design of waverider based on the artificial neural networks[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 418-424. DOI: 10.6052/0459-1879-2009-3-2008-422
    [6]Fan Peng, Yaojun Chen, Yifan Liu, Yiming Fu. Numerical inversion of Laplace transfors in viscoelastic problems by Fourier series expansion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 215-221. DOI: 10.6052/0459-1879-2008-2-2007-142
    [7]Qiwen Xue, Haitian Yang. A regularized solution for the inverse two-order transient heat conduction problems with multi-variables[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(6): 774-780. DOI: 10.6052/0459-1879-2007-6-2007-062
    [8]Jianhua Rong. An improved level set method for structural topology optimization[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(2): 253-260. DOI: 10.6052/0459-1879-2007-2-2006-135
    [9]Weihong Zhang, Gaoming Dai, Fengwen Wang, Shiping Sun, Hicham Bassir. Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 77-89. DOI: 10.6052/0459-1879-2007-1-2006-086
    [10]DYNAMIC ANALYSIS OF THE WALKING SUPPORTED BY THREE FEET OF A QUADRUPED WALKING MACHINE WITH PANTOGRAPH LEGS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 604-613. DOI: 10.6052/0459-1879-1992-5-1995-780
  • Cited by

    Periodical cited type(2)

    1. 陈豪龙,唐欣越,王润华,周焕林,柳占立. 基于物理信息神经网络的多介质非线性瞬态热传导问题研究. 力学学报. 2025(01): 89-102 . 本站查看
    2. 韦昌,樊昱晨,周永清,刘欣,李驰,王赫阳. 基于时间权重的物理信息神经网络求解非稳态偏微分方程. 力学学报. 2025(03): 755-766 . 本站查看

    Other cited types(0)

Catalog

    Article Metrics

    Article views (1763) PDF downloads (812) Cited by(2)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return