基于欧拉梁模型,将有限元法与Wavelet—Galerkin法相结合应用于车桥系统移动载荷识别中,建立了一种动载荷识别的新方法。该方法的优点在于利用小波识别的方法将原来复杂的微分方程(组)分解成小波空间里互相独立的线性方程(组),简化了计算,同时也消除现有方法如力平衡法Ⅱ、有限元法等由位移(应变)信号得到速度、加速度信号过程中的拟合求导的误差。文中讨论了测点排布,采样频率等因素对识别精度的影响,数值仿真表明该方法能正确而方便地进行车桥系统的移动载荷识别。
A new moving load identification method for the bridge-vehicle system has been proposed based on FEM and Wavelet-Galerkin method in this paper. Within this method, Daubechies wavelets are employed to decompose the signals, then the differential equations are transformed into the linear equations in wavelet space. And as a result, the calculation is simplified. Comparing with the existing methods, such as IMⅡ and FEM, the present identification algorithm eliminates the errors arising in the processes of the curve fitting and the difference of the displacement responses for the evaluations of velocity and acceleration signals. The influences of the sampling frequency and measuring point arrangements on the identification of moving loads have been discussed. Numerical results show that the proposed method is feasible and effective to identify moving loads for the bridge-vehicle system.