Including nonlinearity can lead to fascinating wave propagation behavior in phononic crystals, broadening their possible applications in acoustic engineering. The current work aims to benefit from the exclusive properties of nonlinear chains, on one hand, and electromagnetic actuation, on the other hand, to actively control and deliberately manipulate propagating waves in monoatomic and mass-in-mass chains. First, the governing equations are derived and analytic dispersion relations for the nonlinear propagation of waves are provided using the modified Lindstedt-Poincare method. Then, the effects of electromagnetic actuation on the dispersion curves as well as wave-filtering capabilities of nonlinear lattice chains are investigated. Furthermore, a detailed analysis of the effects of electromagnetic actuation on the stop-bands with local resonance (LR) nature in mass-in-mass chains is performed. The results reveal that successful implementation of the electromagnetic actuation to the studied systems can efficiently manipulate their wave-propagation characteristics, providing about 25% tunability in the stop-band frequency range of monoatomic chains and about 15% in mass-in-mass chains. Also, additional controllable low-frequency stop-bands can be generated as a result of applying electromagnetic actuation leading to higher tunability of wave propagation/attenuation in nonlinear phononic chains.

包括非线性可以导致声子晶体中迷人的波传播行为，拓宽它们在声学工程中的可能应用。当前的工作旨在一方面受益于非线性链的独有特性，另一方面受益于电磁驱动，以主动控制和有意操纵单原子链和质量链中的传播波。首先，使用修正的 Lindstedt-Poincare 方法导出控制方程并提供波的非线性传播的解析色散关系。然后，研究了电磁驱动对非线性晶格链的色散曲线和滤波能力的影响。此外，详细分析了电磁驱动对质量链中具有局部共振 (LR) 性质的阻带的影响。结果表明，成功实现对所研究系统的电磁驱动可以有效地操纵它们的波传播特性，在单原子链的阻带频率范围内提供约 25% 的可调性，在质量链中提供约 15% 的可调性。此外，由于应用电磁驱动，可以产生额外的可控低频阻带，从而导致非线性声子链中波传播/衰减的更高可调性。结果表明，成功实现对所研究系统的电磁驱动可以有效地操纵它们的波传播特性，在单原子链的阻带频率范围内提供约 25% 的可调性，在质量链中提供约 15% 的可调性。此外，由于应用电磁驱动，可以产生额外的可控低频阻带，从而导致非线性声子链中波传播/衰减的更高可调性。结果表明，成功实现对所研究系统的电磁驱动可以有效地操纵它们的波传播特性，在单原子链的阻带频率范围内提供约 25% 的可调性，在质量链中提供约 15% 的可调性。此外，由于应用电磁驱动，可以产生额外的可控低频阻带，从而导致非线性声子链中波传播/衰减的更高可调性。