Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening

We investigate the effect of taut strings with adjustable tensions, on the frequency spectra for elastic waves transmission in the triatomic lattice. The wave equations of a triatomic chain with tensioned strings are first developed through the lattice dynamics. The tunable string stiffness is deriv...

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Bibliographic Details
Published in:Wave motion 2022-06, Vol.112, p.102951, Article 102951
Main Authors: He, Cang, Lim, Kian-Meng, Zhang, Fang, Jiang, Jin-hui
Format: Article
Language:English
Subjects:
Amplitudes
Band gap
Elastic waves
Energy distribution
Energy gap
Frequencies
Frequency spectrum
Lattice theory
Lattices
Nonlinear spring
Perturbation
Perturbation method
Phononic crystal
Stiffening
Stiffness
Strings
Surface waves
Tunable bandgap
Tuning
Wave equations
Wave transmission
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Summary:We investigate the effect of taut strings with adjustable tensions, on the frequency spectra for elastic waves transmission in the triatomic lattice. The wave equations of a triatomic chain with tensioned strings are first developed through the lattice dynamics. The tunable string stiffness is derived from modal separation. Subsequently, the dispersion relations of such system are evaluated using both the linearized model and the perturbation approach, respectively. It is shown that the bandgaps become wider as greater tensions are exerted. Also, string-tuning bandgaps can exhibit non-Hermitian form in multi-atomic lattices. Transmission properties and energy distribution of the corresponding finite system composed of such basic units are further analyzed. When high-amplitude wave enters with strings tightened, the dual-tuning effect of the tension and vibrational amplitude on bandgaps has been noticed simultaneously. The present work could help in understanding the physics of periodic multi-atomic lattices with strings and sheds light on wave blocking and filtering. •The triatomic phononic lattice with tensioned strings characterizes the transmission of elastic waves.•The tunable string tensions could shift the location and width of band gaps.•Frequency branches induced by string tensions show independence from the Hermitian form.•Amplitude-dependent frequencies in the string-tuning phononics are determined theoretically and numerically.•A dual-tuning mechanism of the tension and wave amplitude are observed in wave transmission process.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2022.102951