Applying the concepts of nonlinear normal modes and limiting phase trajectories introduced by Manevitch in Manevitch (Arch Appl Mech 77:301– 312, 2007) to a two-dimensional mass–spring sys- tem, the authors propose a generalised method to tune a plane metamaterial and get the desirable resonant behaviour at short wavelengths. Indeed, the account of nonlinear coupling between the oscillators enables the localisation of energy leading the origin of a bandgap at short wavelengths regardless the existence of exter- nal disturbances. Moreover, further restrictions on the modes amplitude allow the observation of Fermi– Pasta–Ulam–Tsingou recurrence and super-recurrence in the two-dimensional metamaterial. These findings can open the way to further research in order to improve efficiency and performance of resonant metamaterials.
Nonlinear energy localisation in a model of plane metamaterial / Coclite, Giuseppe Maria; De Tommasi, Domenico; Maddalena, Francesco; Romano, Marzia; Trentadue, Francesco. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - STAMPA. - (2023). [10.1007/s11071-023-08475-x]
Nonlinear energy localisation in a model of plane metamaterial
Coclite, Giuseppe Maria
;De Tommasi, Domenico;Maddalena, Francesco;Romano, Marzia;Trentadue, Francesco
2023-01-01
Abstract
Applying the concepts of nonlinear normal modes and limiting phase trajectories introduced by Manevitch in Manevitch (Arch Appl Mech 77:301– 312, 2007) to a two-dimensional mass–spring sys- tem, the authors propose a generalised method to tune a plane metamaterial and get the desirable resonant behaviour at short wavelengths. Indeed, the account of nonlinear coupling between the oscillators enables the localisation of energy leading the origin of a bandgap at short wavelengths regardless the existence of exter- nal disturbances. Moreover, further restrictions on the modes amplitude allow the observation of Fermi– Pasta–Ulam–Tsingou recurrence and super-recurrence in the two-dimensional metamaterial. These findings can open the way to further research in order to improve efficiency and performance of resonant metamaterials.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.