文章基本信息

标题：Phononic Band-Gap Materials Design by Means of Topology Optimization
本地全文：下载
作者：Rolando Yera ; Carlos G. Méndez ; Alfredo E. Huespe 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2019
卷号：37
期号：5
页码：115-115
出版社：CIMEC-INTEC-CONICET-UNL
摘要：Phononic materials can exhibit phononic band gaps that prevent the propagation of elastic waves within certain frequency range, for this reason they may be used to create frequency filters, as vibration or sound protection devices, as waveguides, or as beam spliters. In the present work, we show a topology optimization tool for the design of biphasic periodic materials exhibiting phononic band gaps. We optimize two dimensional infinitely periodic band-gap materials by maximizing the relative width between two adjacent frequency bands making the range of prohibited frequencies wider. The finite element analysis is implemented using the Floquet-Bloch wave theory for solving the dynamic behavior of two-dimensional unit cells. The topology optimization problem is solved using a density approach, the SIMP (Simplified Isotropic Material with Penalization) interpolation (M.P. Bendsoe, Struct Optim 1:193-202 (1989)) which establishes the relation between the density design variable and the material property as a power law. The nested and Simultaneus Analisis and Design (SAND) formulations for the optimization problem are discussed.
关键词：Phononic materials; propagation of elastic waves; topology optimization; periodic band-gap materials;