Eigenvalue topology optimization via efficient multilevel solution of the frequency response | Zendy

Ferrari Federico | Zendy; Lazarov Boyan S. | Zendy; Sigmund Ole | Zendy

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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.

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