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Considering higher-order effects of residual attachment modes in free-interface component mode synthesis method for non-classically damped systems

In this paper, by considering higher-order effects of residual attachment modes, a new free-interface component mode synthesis (CMS) method is developed for non-classically damped systems. Firstly, based on the Neumann expansion, the higher-order effects of the residual attachment modes are accurate...

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Bibliographic Details
Published in:Journal of sound and vibration 2020-03, Vol.469, p.115129, Article 115129
Main Authors: Ding, Zhe, Li, Hua, Zou, Guangming, Kong, Jianyi
Format: Article
Language:English
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Summary:In this paper, by considering higher-order effects of residual attachment modes, a new free-interface component mode synthesis (CMS) method is developed for non-classically damped systems. Firstly, based on the Neumann expansion, the higher-order effects of the residual attachment modes are accurately expressed by the available lower-order modes and the system matrices. Secondly, by using the residual attachment modes and complex modes, the non-classically damped subcomponents are reduced and assembled in the physical space instead of the frequently-used state-space. Then, the new free-interface CMS method is derived and solved built on a frequency shifting technique and an iteration method. Finally, the performances of the presented method are illustrated by two numerical examples and compared with other first- and second-order approximated CMS methods. The results indicate that the presented CMS method for the non-classically damped systems is more accurate than other methods and suitable for the case when both high- and low-order modes are truncated. •A new CMS method for non-classically damped system is presented.•The CMS method considers the higher-order effects of residual attachment modes.•Residual attachment modes are derived explicitly by lower-order modes and system matrices.•Subcomponents are assembled in physical space instead of state-space.•The proposed method is applicable to the case when both low- and high-order modes are truncated.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2019.115129