Abstract
In the paper, a phononic crystal plate composed of a magnetorheological elastomer with adjustable band gaps in the low frequency range is constructed. The dispersion relations of Lamb waves are studied by the supercell plane wave expansion method. The transmission responses as well as the displacement fields of Lamb waves are calculated by the finite element method. The influence of geometric parameters on the band gaps, the regulation effect of the volume ratio of Fe particles and the bias magnetic field on the band gaps are analyzed. Based on the numerical results, we find that the volume ratio of Fe particles and the magnetic field affect the band gap effectively. The location and width of the band gaps can be adjusted within a broad frequency range by varying the geometric parameters and magnetic field. We can control the band gap, achieve an appropriate and wide low band gap by selecting proper geometric parameters and applying an external contactless magnetic field to deal with complicated and changeable engineering environment. The results are useful for understanding and optimizing the design of composite vibration isolation plates.
Highlights
Plates are extensively used as the containment structures in many areas such as transport, aerospace engineering, marine and civil engineering [1,2]
We have investigated the propagation of Lamb waves in a phononic crystals (PCs) plate composed of an magnetorheological elastomer (MRE), concrete, rubber and steel
The transmission responses and the displacement fields of the eigenmodes for Lamb wave were calculated by the finite element method
Summary
Plates are extensively used as the containment structures in many areas such as transport, aerospace engineering, marine and civil engineering [1,2]. MRE has been introduced into PCs. Xu et al [29] analyzed shear-wave band gaps tuned in two-dimensional PCs with magnetorheological material, they concluded that S-wave band gaps can be obtained and tuned as frequency-selective filters by the application of an external contactless magnetic field. Xu et al [29] analyzed shear-wave band gaps tuned in two-dimensional PCs with magnetorheological material, they concluded that S-wave band gaps can be obtained and tuned as frequency-selective filters by the application of an external contactless magnetic field Later, they [30] investigated the MRE vibration isolation of tunable three-dimensional locally resonant acoustic metamaterials. The proposed composite plate with a certain extent of strength can bear load, its vibration isolation frequency can be adjusted by applying an external contactless magnetic field. The investigation of this paper offers a good reference for the design of tunable band gaps in PC plates
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
