Moving force identification on continuous bridges with wavelet finite element method
xiu jian-quan; YOU Qiong, SHI Zhi-yu
MOE Key Lab of Structure Mechanics and Control for Aircraft; Institute of Structures & Strength; Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract:The vehicle loads to be identified as moving forces are mapped into wavelet space, the continuous bridge model under the action of moving force are modeled by WFEM (wavelet finite element method), with the scale function of wavelet playing as an interpolation function, meanwhile an elemental transformation matrix is formed to combine the wavelet and physical spaces for WFEM. The moving force is identified with distributed acceleration data as measured dynamic responses, which should be integrated into velocity and displacement. The large fluctuation can be avoided during the analysis of time history with dynamic programming method and regularization. The simulation validates the feasibility of moving force identification on continuous bridge model using WFEM with fewer elements, furthermore the noise can be greatly smoothed by first order Tikhonov regularization during the identification.