A novel approach for distributed dynamic load reconstruction by space–time domain decoupling

Impact-force sparse reconstruction from highly incomplete and inaccurate measurements

“…Here, four noise levels, i.e., 10%, 20%, 30% and 40% respectively correspond to noise-to-signal ratios of the measured response ‖e‖ 2 =‖y‖ 2 , i.e., 5.82%, 11.54%, 17.47% and 23.29%. Here, the noise levels are higher than those in [10][11][12]43]. For instance, the highest noise level in [43] is 10%; the highest one in [12] is 30%.…”

“…Here, the noise levels are higher than those in [10][11][12]43]. For instance, the highest noise level in [43] is 10%; the highest one in [12] is 30%. All experiments except those in Section 5.4 are performed in MATLAB on a personal computer with an Intel Core i5-3450 processor and 4 GB of memory.…”

Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions

“…[22] In this study, we propose a method suitable for frequency domain based on using the Green's functions of plate equation. These functions enable us to convert the inverse problem into a series of forward problems.…”

“…[15][16][17] The problem of inverse source identification on thin plates is also another interesting topic which has been investigated in numerous studies. [18][19][20][21][22] Recently, a notable review of force reconstruction techniques has been performed by Sanchez and Benaroya. [23] They have classified available techniques of force recovery into three categories, i.e.…”

To Estimate Non-Stationary Stochastic Distributed Load on a Beam Structure From Response Samples

“…An improved method was proposed by Liu and Shepard [7] in which new basis functions are introduced to overcome the drawback. A mode-selection method for distributed dynamic force was proposed by Jiang and Hu [8] and the optimal range of frequency and spatial modes was studied; to improve the accuracy on the identified force at fix boundary, the Legendre polynomials are used as the consistent orthogonal base functions to describe the distributed dynamic loads instead of the mode shape function, similar work was done by Li et al [9] with the Chebyshev orthogonal polynomials. The temporal-dependent external forces for the cutting tools were estimated by Huang et al [10] based on the conjugate gradient method.…”