基于Tikhonov正则化与模型减缩技术的虚拟迭代载荷反求

Load Identification of Virtual Iteration Based on Tikhonov Regularization and Model Reduction

将模型减缩技术应用于动态响应的求解,基于Tikhonov正则化载荷反求方法,在迭代过程逐步修正载荷信号,使系统的响应逼近期望响应信号,最终精确反求出载荷信号.算例表明,该方法相对于传统Tikhonov方法,既保留了良好抗噪特点,同时又提高了峰值载荷处的反求精度,从而使得整体反求精度更高.

The model reduction technique was applied to solve the dynamic response. In order to make the system show the actual responses of the expected signals, the iteration procedure was then used to modify the load signals based on Tikhonov regularization load identification. Furthermore, the accuracy of the load signals was identified. The comparison of the proposed method with the traditional Tikhonov method shows that the proposed method can retain a good anti-noise characteristic, and improve the preci- sion of load identification. The accuracy of the load identification by the proposed method is much higher than that of the traditional method.