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Eigenvalue topology optimization via efficient multilevel solution of the frequency response
Author(s) -
Ferrari Federico,
Lazarov Boyan S.,
Sigmund Ole
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5829
Subject(s) - eigenvalues and eigenvectors , multigrid method , topology optimization , topology (electrical circuits) , mathematical optimization , computer science , frequency response , vibration , mathematics , algorithm , finite element method , engineering , mathematical analysis , physics , partial differential equation , electrical engineering , structural engineering , quantum mechanics , combinatorics
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.