Substructuring-based dynamic reduction method for vibration analysis of periodic composite structures

Robel Weldebrhan Hagos , Geomji Choi , Heejun Sung , Seongmin Chang

Abstract

Macro periodic composite structures are often represented by large-scale finite element (FE) models, so conventional FE methods and component mode synthesis (CMS) techniques are inadequate for assessing the dynamics of these structures in a reasonable amount of time. This study proposes the improved reduction system (IRS) combined with a substructuring scheme for modal analysis of periodic composite structures; and compares it with the homogenization method. Model reduction and homogenization are performed utilizing in-house code and ANSYS(R), respectively. In IRS-based substructuring, the macrostructure is subdivided into identical substructures, then a single representative volume element (RVE) is taken and reduced. The reduced substructures are assembled into a macrostructure with fewer degrees of freedom (DOFs), resulting in an accurate and efficient result with a small memory footprint. According to our findings, the proposed method provides accurate results independent of the number of substructures contained within the macrostructure, whereas the homogenization method relies on the number of substructures present.

Key Words

homogenization; IRS; periodic composite structures; RVE; substructuring

Address

Robel Weldebrhan Hagos — Department of Mechanical Engineering, Kumoh National Institute of Technology, Daehak-ro 61, Gumi, Gyeongbuk 39177, Korea
Geomji Choi — Department of Mechanical Engineering, Kumoh National Institute of Technology, Daehak-ro 61, Gumi, Gyeongbuk 39177, Korea
Heejun Sung — Multiscale Mechanical Design Division, School of Mechanical and Aerospace Engineering, Seoul National University, 1 Gwanak-ro, Seoul 08826, Korea
Seongmin Chang — Department of Mechanical Engineering, Kumoh National Institute of Technology,Daehak-ro 61, Gumi, Gyeongbuk 39177, Korea; Department of Mechanical Design Engineering, Kumoh National Institute of Technology, Daehak-ro 61, Gumi, Gyeongbuk 39177, Korea

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