一种基于最优输出跟踪的多源动态载荷识别方法

A multi-source dynamic load identification method based on optimal output tracking control

基于最优输出跟踪的基本思想,提出了一种时域内多源动态载荷识别的方法。该方法从结构动力响应出发,设计一个最优输出跟踪器并构造性能指标,将载荷识别问题转变为最优输出跟踪问题。通过Adams法求解微分方程,实现了多源动态载荷的识别,并采用L曲线法确定了性能指标中的关键参数。数值算例表明,所述的载荷识别方法能够在响应数据含有噪声的情况下,有效稳定地实现多源动态载荷的重构,具有较强的抗噪能力。

A multi-source dynamic load identification method in time domain is presented based on the principle of optimal output tracking control.Specifically,a forward model is firstly built from the structural dynamic response,then an optimal output tracking control is designed and the performance index is constructed.Thus the load identification problem is transformed into an optimal output tracking control problem.The multi-source dynamic load identification is achieved by solving the differential equations with the Adams method,and the L-curve method is adopted to determine the key parameters of the performance index.The proposed method is applied numerically to cases of some different loads,and the results indicate that it is effective for load identification even in the situation of the response data being polluted by noises,showing good anti-noise ability.