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Article

Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach

by
Hangyuan Lv
1,2,*,
Rong Zhang
1,2,
Changji Chen
3,
Hui Ma
1,2,
Xianzhen Huang
1,2 and
Zhongliang Yu
4
1
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
2
Key Laboratory of Vibration and Control of Aero Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China
3
China United Network Communication Group Co., Ltd. Liaoning Branch, Shenyang 110027, China
4
College of New Materials and New Energies, Shenzhen Technology University, Shenzhen 518118, China
*
Author to whom correspondence should be addressed.
Materials 2023, 16(6), 2276; https://doi.org/10.3390/ma16062276
Submission received: 7 February 2023 / Revised: 3 March 2023 / Accepted: 10 March 2023 / Published: 12 March 2023
(This article belongs to the Section Materials Simulation and Design)
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Abstract

This paper employed and developed the wave-based vibration approach to analyze the band-gap characteristics of a locally resonant (LR) beam with L-joint, which is common in engineering practices. Based on the proposed modular approach, where the discontinuities on the beam are created as modules, the design and modeling work for such an LR beam can be simplified considerably. Then, three kinds of LR beams with an L-joint suspended with transverse-force type resonators and two cells of longitudinal-force-moment type resonators are analyzed, respectively, to show their suppression ability on the axial wave’s propagation and widened effect on the low-frequency band-gaps, where the longitudinal-force-moment type resonators at the 3rd–4th cells can better suppress the propagation of the axial waves. Meanwhile, the proposed analysis results are compared with the ones obtained with the finite element method and further verified the accuracy and efficiency of the wave-based vibration approach. The aim of this paper is to provide an efficient method for the analysis and design of the LR beam with L-joint for low-frequency vibration attenuation in engineering practices.
Keywords: locally resonant beam; low-frequency vibration attenuation; wave-based vibration approach; beam with L-joint locally resonant beam; low-frequency vibration attenuation; wave-based vibration approach; beam with L-joint

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MDPI and ACS Style

Lv, H.; Zhang, R.; Chen, C.; Ma, H.; Huang, X.; Yu, Z. Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach. Materials 2023, 16, 2276. https://doi.org/10.3390/ma16062276

AMA Style

Lv H, Zhang R, Chen C, Ma H, Huang X, Yu Z. Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach. Materials. 2023; 16(6):2276. https://doi.org/10.3390/ma16062276

Chicago/Turabian Style

Lv, Hangyuan, Rong Zhang, Changji Chen, Hui Ma, Xianzhen Huang, and Zhongliang Yu. 2023. "Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach" Materials 16, no. 6: 2276. https://doi.org/10.3390/ma16062276

APA Style

Lv, H., Zhang, R., Chen, C., Ma, H., Huang, X., & Yu, Z. (2023). Vibration Analysis of Locally Resonant Beams with L-Joint Using an Exact Wave-Based Vibration Approach. Materials, 16(6), 2276. https://doi.org/10.3390/ma16062276

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