Technical Papers
Jun 19, 2023

Frequency-Dependent Nonreflecting Boundary for Absorbing Lamb Waves Based on Lysmer and Kuhlemeyer Absorbing Boundary

Publication: Journal of Engineering Mechanics
Volume 149, Issue 9

Abstract

This paper reports two nonreflecting boundaries based on the Lysmer and Kuhlemeyer (L-K) absorbing boundary, respectively for absorbing symmetric and antisymmetric Lamb wave, which compensate for the weakness of the L-K absorbing boundary in the application for absorbing Lamb waves at the structural boundary. In this paper, the accurate and approximate formulas of the coefficients of the nonreflecting boundary for symmetric and antisymmetric Lamb waves are obtained by theoretical deduction based on the L-K method. The effectiveness and robustness of these nonreflecting boundaries are verified by comparing with the conventional L-K absorbing boundary in simulation cases. In addition, the limitations of these nonreflective boundaries are discussed.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This research was funded by the National Natural Science Foundation of China, Grant No. 51975581.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 9September 2023

History

Received: Dec 11, 2022
Accepted: Mar 31, 2023
Published online: Jun 19, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 19, 2023

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Researcher, Institute of Missile Engineering, PLA Rocket Force Univ. of Engineering, No. 2 Tongxin Rd., Hongqing St., Baqiao District, Xi’an, Shannxi 710025, China (corresponding author). ORCID: https://orcid.org/0000-0003-2153-9972. Email: [email protected]
Zhigao Xu
Associate Professor, Institute of Missile Engineering, PLA Rocket Force Univ. of Engineering, No. 2 Tongxin Rd., Hongqing St., Baqiao District, Xi’an, Shannxi 710025, China.
Jiazhao Chen
Professor, Institute of Missile Engineering, PLA Rocket Force Univ. of Engineering, No. 2 Tongxin Rd., Hongqing St., Baqiao District, Xi’an, Shannxi 710025, China.
Youhong Zhang
Associate Professor, Institute of Missile Engineering, PLA Rocket Force Univ. of Engineering, No. 2 Tongxin Rd., Hongqing St., Baqiao District, Xi’an, Shannxi 710025, China.
Yuxiang Zhang
Professor, Institute of Missile Engineering, PLA Rocket Force Univ. of Engineering, No. 2 Tongxin Rd., Hongqing St., Baqiao District, Xi’an, Shannxi 710025, China.

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