Study on wave localization in a randomly disordered periodic piezoelectric Timoshenko beam
DING Lan1, YIN Tao2, ZHU Hong-ping1
1.School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, 430074 Wuhan, China; 2 . School of Civil and Architectural Engineering, Wuhan University, 430072 Wuhan, China
A model of wave propagation in an axial-bending coupled beam with piezoelectric patches periodically adhered to it is developed by using finite element and transfer matrix methods. Both the base beam and piezoelectric layer are treated as Timoshenko beams. The effects of randomly disordered geometric dimensions and material parameters on the wave localization characteristics of the periodic structure are analyzed by localization factor. Numerical research indicates that for the periodic piezoelectric beam in this study, different materials of the base beam have prominent effect on the frequency bands, but the wave propagation and localization behavior display little sensitivity to the random disorder in the length of the base beam and the piezoelectric parameters, such that the characteristics of frequency bands and wave propagation in the structure can be slightly altered by tuning different structural parameters. The investigation provides the basic guidelines for optimization design and vibration control in periodic piezoelectric structures.