基于Newmark-β的ICAA正则化参数选取方法

Regularization Parameter Determination Method of ICAA Based on Newmark-β

传统的L曲线法在使用的时候常常不容易获得准确的正则化参数,基于此,提出了一种基于Newmark-β的反算-对比-调整-逼近(inverse computation-contrast-adjustment-approach,ICAA)正则化参数选取方法.该算法相比传统的L曲线法使用起来更加直观、简便,并且计算耗费的时间更短、效率更高.通过一个四自由度系统的仿真算例和一个悬臂梁的实验验证了本算法的有效性,并把本算法的载荷识别结果与L曲线法的载荷识别结果进行了对比.结果表明:该算法相比L曲线法不仅在计算效率方面有显著优势,而且利用前者的正则化参数进行载荷识别,计算精度更高.

When the traditional L-curve method is applied,it is often not easy to obtain accurate regularization parameters.Therefore,a new regularization parameter determination method of ICAA(inverse computation-contrast-adjustment-approach)based on Newmark-βwas proposed.Compared with the traditional L-curve method,the algorithm is more intuitive and simple to use,and the calculation time is shorter and more efficient.The validity of the algorithm was verified by a simulation example of a four-DOF system and an experiment of a cantilever beam,and the load identification results of this algorithm were compared with the load recognition results of the L-curve method.The results showed that compared with the L-curve method,the proposed algorithm not only has greater advantages in computational efficiency,but also has higher accuracy in load identification calculation using the regularization parameters obtained by the algorithm.