基于广义正交域理论识别桥上移动载荷的方法研究

The Study of Identification of Loads Moving on Bridge Based on Generalized Polynomial Expansion

基于广义正交多项式理论,提出了一种基于广义正交域的桥上识别移动荷载的新方法,用广义正交多项式函数逼近桥梁挠度或应变,对逼近函数微分求得桥梁挠曲速度和加速度,用最小二乘法由桥梁挠度及近似的挠曲速度和加速度识别桥梁的模态位移、模态速度和模态加速度,由梁的模态坐标方程和最小二乘法识别桥上移动荷载。

In this paper,from the generalized theory of orthogonal polynomial,a new theoretical method of moving loads identification was proposed based on generalized polynomial expansion.The modal displacements of the beam were identified from the deflections or strains of the beam.The modal velocities and accelerations of the beam were calculated by central difference method.The moving forces were identified by the least square method based on the modal coordinate equation of the beam.The results of numerical simulation and experiment show that the method developed in the paper based on the theory is of high identification accuracy and noise immunity.