Predicting anti-resonance frequencies using a novel eigenvalue formulation

Jaesoon Jung; Seongyeol Goo; Junghwan Kook

doi:10.1016/j.finel.2021.103525

Predicting anti-resonance frequencies using a novel eigenvalue formulation

Jaesoon Jung, Seongyeol Goo, Junghwan Kook^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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 language	English
Article number	103525
Journal	Finite Elements in Analysis and Design
Volume	191
Number of pages	10
ISSN	0168-874X
DOIs	https://doi.org/10.1016/j.finel.2021.103525
Publication status	Published - 1 Sept 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.

Keywords

Anti-resonance frequency
Eigenvalue analysis
Finite element analysis
System identification

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10.1016/j.finel.2021.103525

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title = "Predicting anti-resonance frequencies using a novel eigenvalue formulation",

abstract = "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.",

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AU - Jung, Jaesoon

AU - Goo, Seongyeol

AU - Kook, Junghwan

N1 - 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.

PY - 2021/9/1

Y1 - 2021/9/1

N2 - 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.

AB - 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.

KW - Anti-resonance frequency

KW - Eigenvalue analysis

KW - Finite element analysis

KW - System identification

U2 - 10.1016/j.finel.2021.103525

DO - 10.1016/j.finel.2021.103525

M3 - Journal article

AN - SCOPUS:85099925986

SN - 0168-874X

VL - 191

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

M1 - 103525

ER -

Predicting anti-resonance frequencies using a novel eigenvalue formulation

Abstract

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Keywords

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