Abstract
The prediction of vibration characteristics was studied in the mistuned bladed disk by the mobile interface prestressed component mode synthesis (CMS) superelement method. When the strongly, generally, and weakly coupling in the mistuned bladed disk, according to the results of the direct FEM method, the prediction accuracy of this method was verified and compared with the fixed-interface CMS method by using the relative error of dynamic frequency, vibration mode matching function, and dimensionless root mean square error of vibration amplitudes. It is pointed that for mistuned bladed disk in the strong coupling, the prediction accuracy of dynamic frequency and vibration amplitudes are higher by the mobile interface CMS method and the vibration modes are matched with the direct method. In weak coupling, the results of dynamic frequency and vibration modes predicted by the mobile interface CMS method and the fixed-interface CMS method are consistent with the direct method, but the vibration amplitudes’ prediction error of the mobile interface CMS method is lower than that of the fixed-interface CMS method. In general coupling, the mobile interface CMS method has higher dynamic frequency prediction accuracy at low order, and the two methods have comparable dynamic frequency prediction accuracy at high order. The vibration modes predicted by the two methods are matched with the direct FEM method, and the prediction accuracy of vibration amplitude by the mobile interface CMS method is better than that of the fixed-interface CMS method. The results indicate that the mobile interface CMS method could more accurately predict vibration characteristics of the mistuned bladed disk with different coupling degrees and could be an effective measurement for studying the vibration characteristics of the mistuned bladed disk system.
Highlights
Mobile Interface component mode synthesis (CMS) MethodThe vibration characteristics of the mistuned blisk system are predicted using the mobile interface prestressed CMS superelement method. e mobile interface CMS method consists of two parts: the mobile interface prestressed analysis and the free-interface CMS superelement analysis
Academic Editor: Jaroslaw Latalski e prediction of vibration characteristics was studied in the mistuned bladed disk by the mobile interface prestressed component mode synthesis (CMS) superelement method
It is pointed that for mistuned bladed disk in the strong coupling, the prediction accuracy of dynamic frequency and vibration amplitudes are higher by the mobile interface CMS method and the vibration modes are matched with the direct method
Summary
The vibration characteristics of the mistuned blisk system are predicted using the mobile interface prestressed CMS superelement method. e mobile interface CMS method consists of two parts: the mobile interface prestressed analysis and the free-interface CMS superelement analysis. E mobile displacement constraints of the interface degrees of freedom are analyzed and released using the freeinterface CMS superelement method, that is, delete the constraint uim vim, and the undamped free vibration equation of the substructure i with the unconstrained interface is. E displacement coordination and force balance conditions are adopted to couple the degree of freedom of interface nodes of the substructure to obtain the generalized coordinate transformation matrix. E generalized coordinate transformation formula is substituted into equation (15) to obtain the dynamic equation of the overall mistuned bladed disk structure under the generalized coordinates including the effects of rigidization and softening:. By solving equations (16) and (17), the dynamic frequency, the response, and mode shape under the reduced generalized coordinate p of the overall mistuned bladed disk can be obtained, and the superelement can be used. The prediction result of the direct method is used as the theoretical value, and the relative error of dynamic frequency, vibration mode matching function, and dimensionless root mean square error of vibration amplitudes are introduced to verify the prediction accuracy of the mobile interface CMS method and compare it with the fixed-interface CMS method
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