Predicting anti-resonance frequencies using a novel eigenvalue formulation

Jaesoon Jung, Seongyeol Goo, Junghwan Kook*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


Herein, we present a novel method for searching anti-resonance frequencies, using an eigenvalue analysis that does not need to search every dip of amplitude in the frequency response function. The eigenvalue equation is derived by utilizing the fact that the solutions of a forced vibration equation are equal to zero at anti-resonance frequencies. The characteristics of the eigenvalue problem are analyzed with a one-dimensional (1D) bar example, and as engineering applications, four numerical examples are presented to demonstrate the computational efficiency and robustness of the proposed method.

Original languageEnglish
Article number103525
JournalFinite Elements in Analysis and Design
Number of pages10
Publication statusPublished - 1 Sep 2021

Bibliographical note

Funding Information:
All the authors acknowledge the support of the Audio Research in GN Audio A/S. This work was partially supported by the Technical University of Denmark (Signature project).

Publisher Copyright:
© 2021 Elsevier B.V.


  • Anti-resonance frequency
  • Eigenvalue analysis
  • Finite element analysis
  • System identification


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