Amplitude-induced acoustic bandgaps in cubically non-linear metamaterials via nonlinear spring
کد مقاله : 1067-ISAV (R1)
نویسندگان:
سروش سپهری *، حمید جعفری، محمود موسوی مشهدی، محمدرضا حائری یزدی، میرمسعود سیدفخرآبادی
پردیس دانشکده های فنی دانشگاه تهران - دانشکده مهندسی مکانیک - تهران - ایران
چکیده مقاله:
In the present research, the wave-attenuation performance of a weakly nonlinear monoatom-ic metamaterial is controlled via a nonlinear auxiliary spring. More specifically, the “am-plitude-induced bandgaps”, which are exclusive to the nonlinear metamaterials and cannot be observed in linear metamaterials is scrutinized and impact of external control spring on such attenuation zones is analysed. A perturbation approach, based on the modified Lind-stedt-Poincare method is used to analytically model the nonlinear monoatomic metamateri-als and find the dispersion relations. It is found that the linear and nonlinear parts of the controlling spring have different effects on the wave propagation behavior of the 1-D met-amaterial and while the linear part modulates the linear frequency, its cubic part can lead to changing amplitude-induced bandgaps. Additionally, carefully tuning the linear and nonlin-ear parts of controlling spring, attenuation zones in desired parts of the frequency spectrum can be achieved. The results of the present article provide effective methods in controlling the phononic characteristics of one-dimensional nonlinear metamaterials.
کلیدواژه ها:
elastic metamaterial; bandgap; nonlinearity; phononic crystal
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