Vibration isolation design for periodically stiffened shells by the wave finite element method

Jie Hong, Xueqing He, Dayi Zhang*, Bing Zhang, Yanhong Ma

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

24 Citations (Scopus)
187 Downloads (Pure)


Periodically stiffened shell structures are widely used due to their excellent specific strength, in particular for aeronautical and astronautical components. This paper presents an improved Wave Finite Element Method (FEM) that can be employed to predict the band-gap characteristics of stiffened shell structures efficiently. An aero-engine casing, which is a typical periodically stiffened shell structure, was employed to verify the validation and efficiency of the Wave FEM. Good agreement has been found between the Wave FEM and the classical FEM for different boundary conditions. One effective wave selection method based on the Wave FEM has thus been put forward to filter the radial modes of a shell structure. Furthermore, an optimisation strategy by the combination of the Wave FEM and genetic algorithm was presented for periodically stiffened shell structures. The optimal out-of-plane band gap and the mass of the whole structure can be achieved by the optimisation strategy under an aerodynamic load. Results also indicate that geometric parameters of stiffeners can be properly selected that the out-of-plane vibration attenuates significantly in the frequency band of interest. This study can provide valuable references for designing the band gaps of vibration isolation.

Original languageEnglish
Pages (from-to)90-102
Number of pages13
JournalJournal of Sound and Vibration
Early online date12 Feb 2018
Publication statusPublished - 14 Apr 2018


  • Stiffened shell vibration
  • Periodic structure
  • Vibration isolation
  • Wave finite element method
  • Band gaps


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