Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Heuristic dispersion design of discrete periodic systems
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).ORCID iD: 0000-0001-8572-8532
2021 (English)Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

We consider a new class of performance functions for dispersion design of 1D periodic discrete systems using matrix rang and its regularization using log-det heuristics [1]. As an input, the desired dispersion dependency of a branch is used. Ideally, the representative dynamic stiffness matrix (RDSM) is singular at every point of the desired branch. Instead, the sum of ranks for RDSM evaluated at several discrete points is minimized using a surrogate log-det objective [2]. An example of a periodic system with a side branch is given in the Figure. The system has four free stiffness and three free mass parameters with admissible ranges given in Figure. The desired dispersion relation should have a constant frequency branch at 1.58. Thank of RDSM is evaluated at 12 discrete points. The obtained design satisfies dispersion requirements. This approach avoids ordering or tracking of eigenfrequencies and reduces the problem to a sequence of quadratic programming problems. The considered periodic discrete systems are simplified objects for method development with a further dispersion design goal for acoustic metamaterials.

[1] FAZEL, M.; HINDI, H.; BOYD, S.P. Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices. In: Proc. of the ACC2003. IEEE, 2003. PP 2156-2162.[2] TKACHUK, A. Customization of reciprocal mass matrices via log‐det heuristic. IJNME, 2020, 121., PP.690-711.

Place, publisher, year, edition, pages
2021.
National Category
Applied Mechanics
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-87694OAI: oai:DiVA.org:kau-87694DiVA, id: diva2:1618072
Conference
91th annual meeting of GAMM 15-19 Mar, Kassel Germany
Funder
German Research Foundation (DFG), 442679063Available from: 2021-12-08 Created: 2021-12-08 Last updated: 2022-03-21Bibliographically approved

Open Access in DiVA

No full text in DiVA

Authority records

Tkachuk, Anton

Search in DiVA

By author/editor
Tkachuk, AntonTkachuk, Mykola
By organisation
Department of Engineering and Physics (from 2013)
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 124 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf