The impact force identification of composite stiffened panels under material uncertainty

Sun, Rujie; Chen, Guoping; He, Huan; Zhang, Baoqiang

doi:10.1016/j.finel.2013.11.008

Cited by 32 publications

(15 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, Maleknejad et al [36] have used Chebyshev polynomials to approximate the solutions of linear and nonlinear Volterra integral equations. For force identification, Chebyshev polynomials have also been developed to approximate the force history, which reduces the number of unknown parameters [23,37]. The expression of the desired unknown force using Chebyshev polynomials is as follows…”

Section: The Chebyshev-based Methodsmentioning

confidence: 99%

A Novel Method for Force Identification Based on the Discrete Cosine Transform

Qiao

Chen

Luo

et al. 2015

Journal of Vibration and Acoustics

View full text Add to dashboard Cite

Force identification is a classical inverse problem in which the measured data and the mathematical models of mechanical structures are used to determine the applied force. However, the identified force may seriously diverge from the true solution due to the unknown noise contaminating the measured data and the inverse of the ill-posed transfer matrix characterizing the mechanical structure. In this paper, a novel method based on the discrete cosine transform (DCT) in the time domain is proposed for force identification, which overcomes the deficiency of the ill-posedness of the transfer matrix. The unknown force is expanded by a set of cosine basis functions and then the original governing equation is reformulated to find the coefficient of each cosine basis function. Furthermore, a modified generalized cross-validation (GCV) criterion for determining the regularization parameter is developed for the truncated singular value decomposition (TSVD), Chebyshev polynomial and DCT solutions. Numerical simulation reveals that compared with the L-curve criterion, the modified GCV criterion is quite robust in the presence of noise.Finally, a clamped-free shell structure that is excited by an impact hammer is selected as an example to validate the performance of the proposed method. Experimental results demonstrate that compared with the TSVD-based and Chebyshev-based methods, the DCT-based method combined with the modified GCV criterion can reconstruct the force time history and identify the peak of impact force with high accuracy. Additionally, the identification of force location using the DCT-based method is also discussed.

show abstract

Section: The Chebyshev-based Methodsmentioning

confidence: 99%

A Novel Method for Force Identification Based on the Discrete Cosine Transform

Qiao

Chen

Luo

et al. 2015

Journal of Vibration and Acoustics

View full text Add to dashboard Cite

show abstract

“…Transfer functions can be determined analytically [5,9,11] numerically [16,18,29,30] or experimentally [10,[12][13][14]. An experiment method using impact testing of experimental modal analysis has the advantage of being applicable to various types of structures.…”

Section: Impact-force Sparse Reconstruction Using Mtwistmentioning

confidence: 99%

Impact-force sparse reconstruction from highly incomplete and inaccurate measurements

Qiao

Zhang

Gao

2016

Journal of Sound and Vibration

View full text Add to dashboard Cite

“…Two of the largest drawbacks of the use of FE beyond the design stage are the approximated material property parameters and the high computational cost of building an accurate FE model of the full structure. Finite element model updating (FEMU) can deliver a solution to these two problems, whereby the model is updated with non-destructive testing data, mainly done with ultrasound vibration C-scanning [14][15][16]. The foundation of the technique has been described by Friswell and Mottershead in 1995 [14].…”

Section: Introductionmentioning

confidence: 99%