Regular Complete Method for Computing Sensitivity of Repeated Root Eigenvectors
In the sensitivity-based model updating of the axisymmetric structure,the sensitivity of the repeated root eigenvectors is a crucial parameter to determine the optimization direction of structural parameters.Based on the method of calculating eigenvector sensitivity proposed by YANG Qiuwei,regular complete method is proposed by adding an adjustable regular term on both sides of the governing equation to eliminate the singularity of the dynamic stiffness matrix and combining with the complete modal method to calculate the modal participation factor.Although the method is derived by calculating the sensitivity of the repeated root eigenvectors,it can also be used for the calculation of the sensitivity of the single root eigenvector.Experimental examples verify the feasibility of the proposed method in axisymmetric model updating.
axisymmetric model updatingrepeated root eigenvectorseigenvector sensitivity
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