Inverse Design of Micro Phononic Beams Incorporating Size Effects via Tandem Neural Network

Abstract

Phononic crystals of the smaller scale show a promising future in the field of vibration and sound reduction owing to their capability of accurate manipulation of elastic waves arising from size-dependent band gaps. However, manipulating band gaps is still a major challenge for existing design approaches. In order to obtain the microcomposites with desired band gaps, a data drive approach is proposed in this study. A tandem neural network is trained to establish the mapping relation between the flexural wave band gaps and the microphononic beams. The dynamic characteristics of wave motion are described using the modified coupled stress theory, and the transfer matrix method is employed to obtain the band gaps within the size effects. The results show that the proposed network enables feasible generated micro phononic beams and works better than the neural network that outputs design parameters without the help of the forward path. Moreover, even size effects are diminished with increasing unit cell length, the trained model can still generate phononic beams with anticipated band gaps. The present work can definitely pave the way to pursue new breakthroughs in micro phononic crystals and metamaterials research.

Fast Multichannel Inverse Design through Augmented Partial Factorization

“…Details are provided in Section S1 of the Supporting Information, Table S1 shows the breakdown of the computing times, and Figure S1 plots the dependence on N sub . We have made our gradient computation code open-source, 44 including both the APF version and the conventional adjoint version.…”