Abstract
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.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call