Flexural Wave Propagation in a Double-Beam System Interconnected by Local Resonators with Two Degrees of Freedom
Publication: Journal of Engineering Mechanics
Volume 149, Issue 2
Abstract
The flexural band gaps in a double-beam system on elastic foundations periodically interconnected by local resonators with two degrees of freedom were investigated using the plane wave expansion method. The transmission property of the finite periodic system was examined by the finite-element method to verify the existence of the band gaps. The mechanism of band gap formation was further studied according to the eigenmodes at the edges of band gaps and the transverse deformation patterns. The technique of broadening the band gaps was also proposed. The results indicated that significant attenuation still appears outside the band gaps for the heterolateral transmission due to the counteraction of the approximate symmetric and antisymmetric flexural bands. The band gaps can be effectively broadened, and the propagating waves are even completely eliminated in the last pass band by only adding a spring. It was also observed that increasing the distance between the left and right attached points and the gravity of the resonator gradually from the asymmetric distribution to the symmetric distribution makes two band gaps coupled to form a superwide gap. The presented results emphasize the promising potential of the double-beam system in controlling the propagation of the flexural wave.
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Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge the financial support for this research provided by the National Natural Science Foundation of China (Grant Nos. 51908521 and 51838006).
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Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: May 15, 2022
Accepted: Sep 16, 2022
Published online: Nov 17, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 17, 2023
ASCE Technical Topics:
- Continuum mechanics
- Degrees of freedom
- Displacement (mechanics)
- Dynamics (solid mechanics)
- Elastic analysis
- Elastic foundations
- Electric power
- Energy engineering
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Flexural strength
- Foundations
- Geotechnical engineering
- Material mechanics
- Material properties
- Materials engineering
- Mathematics
- Methodology (by type)
- Numerical methods
- Power transmission
- Solid mechanics
- Strength of materials
- Structural analysis
- Structural engineering
- Structural mechanics
- Symmetry
- Wave propagation
- Waves (mechanics)
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