Analysis of the scattering of plane SH waves by multiple open trenches and its vibration isolation performance

In order to overcome the limitation of single open trench depth due to the stability of trench walls, multiple open trench barriers are considered to be an effective wave barriers in the vibration control. In this paper, based on the elastic dynamics and the complex function theory, an analytical solution to the scattering of plane SH wave by multiple open trenches is obtained by means of wave function expansion method, and the accuracy of the proposed solution is validated. Taking the double open trenches with rectangular section as an example, the influence of factors such as excitation frequency, trench depth, and spacing between the trenches on the vibration isolation effect is analyzed. The results show that the vibration isolation effect of the multiple open trench barrier is significantly better than that of the single open trench.