Effects of the lateral propagating disturbance on wave propagation in periodic beams

4th Symposium on the Mechanics of Slender Structures

物理学;力学

Tao, Chen^1 ; Ligang, Wang^1

College of Science, Harbin Engineering University, Harbin, China^1

关键词: Disturbance amplitudes;    Frequency ranges;    Frequency response functions;    Material parameter;    Multiple reflections;    Numerical results;    Propagating disturbances;    Propagating waves;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/448/1/012012/pdf
DOI  :  10.1088/1742-6596/448/1/012012

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The elastic wave propagation in periodic beams with the propagating disturbance is investigated. The effects of the disturbance on the wave propagation in periodic beams are studied. A propagating wave (disturbance) is incident upon the discontinuity and gives rise to transmitted and reflected waves. All of the transmitted and reflected waves of given flexural wave incident upon the beam at some location are found and superposed using the multiple reflections approach. The relation between the wave-field of incident wave (disturbance) and the wave-field of resulting waves on any segment is expressed. Much attention is devoted to the response in the frequency ranges with gaps in the band structure for the corresponding periodic beams with the disturbance. The numerical results of the frequency response function of finite periodic beams with propagating disturbance are presented. With the increase disturbance amplitude, the attenuation of the band gaps gradually decreases. The effects of the number of cells and material parameters on the band gap are also considered.