基于小波有限元法的连续梁移动荷载识别

将待识别车载简化为移动荷载投影到小波空间；车载所作用的连续梁模型以小波尺度函数为插值函数，以小波有限元法为建模方法，并通过单元转换矩阵实现了小波空间向物理空间的变换；采用部分加速度信号作为测得动响应数据，据此积分求出速度与位移响应并用于识别移动荷载。识别方法则借助了动态规划法与正则化法，避免了时程分析中的振荡现象。仿真算例验证了小波有限元用于连续梁模型移动荷载识别的可行性，且单元数较少；识别过程中所用一阶Tikhonov正则化法具有平滑去噪能力。

Moving load identification on a continuous bridge with wavelet finite element method

The vehicle loads to be identified as moving loads were mapped into a wavelet space,a continuous bridge under action of moving load was modeled with the wavelet finite element method(WFEM).Taking the scale function of wavelet as an interpolation function,an elemental transformation matrix was formed to realize the transfer from the wavelet space to a physical one.The moving load was identified with distributed acceleration data as measured dynamic responses,they were integrated into velocities and displacements.The large fluctuation could be avoided in analysis of time history with the dynamic programming method and regularization.The simulation validated the feasibility of the proposed moving load identification on a continuous bridge model using WFEM with fewer elements,furthermore the noise could be greatly smoothed with the first order Tikhonov regularization in identification.