Moving load identification on Euler-Bernoulli beams with viscoelastic boundary conditions by Tikhonov regularization

Abstract

This work presents moving load identification on Euler-Bernoulli beams with viscoelastic boundary conditions based on beam acceleration responses. The Tikhonov regularization and generalized cross validation (GCV) methods are used to investigate the performances of different regularization matrices (L matrices) in terms of their effectiveness in reducing errors in load identification. The effects from noises, inaccurate parameters, arrangements of measurement locations, velocities, and spaces of moving loads are included in the investigations. Simulation results demonstrated that the viscoelastic boundary conditions could play an important role in the performance of these time domain moving load identifications. The use of a higher-order regularization matrix (L matrix) can efficiently reduce the relative errors of the identified loads. In these L matrices, the L 1 matrix could provide a compromised approach to reducing the relative errors more efficiently than higher-order L matrices such as L 2, L 3, and L 4.