Tuning and controlling antiplane shear wave propagation in elastic membranes

Abstract

In this paper, a rotary-focusing device for the antiplane shear wave is constructed to control and guide elastic wave energy transmission in elastic membranes. The designed device can cloak the antiplane shear waves outside the device and has a rotary-focusing effect on the shear waves energy inside the device in a membrane. The multilayered isotropic material properties of the rotary-focusing device are derived based on the transformation and rotary medium method, and a rotation parameter to guide the propagating trajectories of the antiplane shear waves is introduced. The efficiency of the rotary-focusing device for the antiplane shear waves is verified. The stability of shear wave fields in a membrane with the rotary-focusing device is analyzed to study the performance of rotary-focusing. Numerical examples show that the constructed rotary-focusing device for antiplane shear waves can effectively rotate and focus the antiplane shear wave energy into the device for a wide range of exciting frequencies, which can enhance the antiplane shear energy. Therefore, this study can provide theoretical support for potential applications in the fields of energy harvesting and vibration control.