Vehicle weight identification based on equivalent loads reconstructed from responses of beam-like bridge

Theoretical and Numerical Examination of a Novel Method for Identifying Bridge Moving Force Using an Instrumented Vehicle

“…Recently, Chen proposed a modified truncated singular value decomposition (MTSVD) method for moving force identification, aiming to overcome the ill-posed problems, and a comparative study was conducted with its conventional counterparts: the SVD and TSVD methods [29]. Pan and his co-authors proposed MFI methods to address the ill-posed problem [30][31][32][33]. In 2018, Pan et al proposed a hybrid moving force identification method based on weighted L1-norm regularisation and redundant concatenated dictionary [30].…”

“…Moreover, they proposed a constrained sparse regularisation-based method, taking into account unknown moving forces and initial conditions [31,32]. Recently, Pan et al devised an equivalent load-based method for identifying the gross weight of a vehicle moving on a beam-like bridge [33]. Zhou et al proposed an integral time domain method, effectively eliminating errors generated in the discrete unit impulse response function [34].…”

“…The aforementioned literature establishes that the proposed MFI methods can be transformed into a problem of solving linear equations, applicable to both time domain and frequency domain methods [24][25][26][27][30][31][32][33]. The Newmark-β method, valued for its stability, has been widely applied to forward structural dynamic problems [37].…”

“…A review of the existing studies reveals that the majority of sensors are typically arranged in critical sections of the bridge to capture the bridge dynamic responses [24][25][26][27][30][31][32][33][37][38][39][40][41]. However, traditional identification methods exhibit lower efficiency in the actual bridge process, making it challenging to swiftly identify moving loads for numerous small-and medium-span bridges [42][43][44].…”