Tunable Lamb wave band gaps in two-dimensional magnetoelastic phononic crystal slabs by an applied external magnetostatic field

Abstract

This paper theoretically investigates the band gaps of Lamb mode waves in two-dimensional magnetoelastic phononic crystal slabs by an applied external magnetostatic field. With the assumption of uniformly oriented magnetization, an equivalent piezomagnetic material model is used. The effects of magnetostatic field on phononic crystals are considered carefully in this model. The numerical results indicate that the width of the first band gap is significantly changed by applying the external magnetic field with different amplitude, and the ratio between the maximum and minimum gap widths reaches 228%. Further calculations demonstrate that the orientation of the magnetic field obviously affects the width and location of the first band gap. The contactless tunability of the proposed phononic crystal slabs shows many potential applications of vibration isolation in engineering.

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

“…These changes are effectively analogous to reducing the 'stiffness' in a branching mass-spring system, which may be used as an idealized model for studying the mechanism of local resonance band-gap formation [43][44][45]. The shapes of the deposited resonators (cylindrical pillar, square rod [46][47][48][49][50], sphere [51], spiral [52] or Gaussian surface [53]) and the lattice symmetry of the periodic arrangement (triangular [54][55][56], square [54][55][56][57][58], hexagonal [57], honeycomb [54,58], hybrid [59,60], or random [61,62]) have direct impact on the properties of the engineered local resonance band gap, such as its width and position in the frequency domain. Having pillars on both sides of a plate provides an additional avenue for enriching the design space [63][64][65][66][67].…”

“…These changes are effectivity analogous to reducing the "stiffness" in a branching mass-spring system, which may be used as an idealized model for studying the mechanism of local resonance band-gap formation [35][36][37]. The shape of the deposited resonators (cylindrical pillar, square rod [7,[38][39][40][41], sphere [42], spiral [43] or…”

Tunability of hysteresis-dependent band gaps in a two-dimensional magneto-elastic phononic crystal using magnetic and stress loadings

“…There is an increased interest in developing a comprehensive framework for magneto-elastic phononic crystals with magnetostrictive materials. [15][16][17][18][19][20][21][22] It should be noted that the nonlinear magneto-mechanical coupling characteristic of magnetostrictive component is critical to tune band structures for magnetoelastic PCs. A series of comprehensive studies have been conducted to consider the multi-field coupling effect, which are beneficial to the design and application of smart PC devices.…”

Complete Band Gaps in Nano-Piezoelectric Phononic Crystals

“…PCs have many applications, such as vibration isolation technology [18][19][20][21][22] , acoustic barriers/filters [23][24][25] , noise suppression devices [26][27] , surface acoustic devices 28 , architectural design 29 , sound shields 30 , acoustic diodes 31 , elastic metamaterials [21][22]25,27,32 and thermal metamaterials [33][34][35][36][37][38][39] . There are also smart PCs that have been studied, such as piezoelectric [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] , piezomagnetic [55][56][57][58] and magnetoelectroelastic 14,[59][60][61]…”