Eigenvalue topology optimization via efficient multilevel solution of the frequency response. (29th May 2018)

• Record Type: Journal Article
• Authors: Ferrari, Federico; Lazarov, Boyan S.; Sigmund, Ole
• Is Part Of: International journal for numerical methods in engineering. Volume 115:Number 7(2018)
• Page Start: 872
• Page End: 892
• Publication Date: 2018-05-29
• Subjects: eigenvalue optimization -- fast solvers -- large‐scale problems -- topology optimization -- vibrations; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5829
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: The article presents an efficient solution method for structural topology optimization aimed at maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging problem mainly because of the high computational cost required by spectral analyses. The proposed method relies on replacing the eigenvalue problem with a frequency response one, which can be tuned and efficiently solved by a multilevel procedure. Connections of the method with multigrid eigenvalue solvers are discussed in details. Several applications demonstrating more than 90% savings of the computational time are presented as well.