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基于Tikhonov正则化与模型减缩技术的虚拟迭代载荷反求
引用本文:张邦基,周守玉,谢庆喜,张农.基于Tikhonov正则化与模型减缩技术的虚拟迭代载荷反求[J].湖南大学学报(自然科学版),2017,44(2):53-59.
作者姓名:张邦基  周守玉  谢庆喜  张农
作者单位:(湖南大学 汽车车身先进设计制造国家重点实验室,湖南 长沙 410082)
摘    要: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.

关 键 词:载荷反求  正则化  虚拟减缩  迭代方法

Load Identification of Virtual Iteration Based on Tikhonov Regularization and Model Reduction
Institution:(State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University, Changsha 410082, China)
Abstract: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 precision of load identification. The accuracy of the load identification by the proposed method is much higher than that of the traditional method.
Keywords:load identification  regularization  virtual reduction  iterative methods
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