Wave Finite Element Method Based on Reduced Model for One-Dimensional Periodic Structures

International Journal of Applied Mechanics - Tập 07 Số 02 - Trang 1550018 - 2015
Chunfeng Zhou1, Jean-Pierre Lainé1, Mohamed Ichchou1, Abdelmalek Zine2
1Laboratoire de Tribologie et Dynamique des Systèmes, École Centrale de Lyon - 36, Avenue Guy de Collongue, 69134 Ecully, France
2Institut Camille Jordan, École Centrale de Lyon - 36, Avenue Guy de Collongue, 69134 Ecully, France

Tóm tắt

In this paper, an efficient numerical approach is proposed to study free and forced vibration of complex one-dimensional (1D) periodic structures. The proposed method combines the advantages of component mode synthesis (CMS) and wave finite element method. It exploits the periodicity of the structure since only one unit cell is modelled. The model reduction based on CMS improves the computational efficiency of unit cell dynamics, avoiding ill-conditioning issues. The selection of reduced modal basis can reveal the influence of local dynamics on global behavior. The effectiveness of the proposed approach is illustrated via numerical examples.

Từ khóa


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