Generalized Bloch mode synthesis for accelerated calculation of elastic band structures

JOURNAL OF COMPUTATIONAL PHYSICS

卷:357

Article

Krattiger, Dimitri¹  Hussein, Mahmoud I.¹ 

[1] Univ Colorado, Dept Aerosp Engn Sci, Boulder, CO 80309 USA

关键词: Phononics;    Elastic metamaterials;    Band structure;    Dispersion curves;    Bloch mode synthesis;    Component mode synthesis;   

DOI  :  10.1016/j.jcp.2017.12.016

来源: Elsevier

【 摘 要 】

The Bloch mode synthesis (BMS) model-reduction method adapts component mode synthesis techniques to unit-cell problems in order to obtain a reduced-order model that quickly produces band-structure frequencies for any wave vector, or vice versa. Fundamental to BMS is a partitioning of the real-space model into interior and boundary components, and subsequent reduction of the interior via truncated normal mode expansion. In this paper, two enhancements are presented for the BMS method that reduce both computation time and error in band-structure calculations. The first enhancement improves the accuracy of the interior reduction by approximating the participation of the residual modes rather than simply truncating them. The original formulation of BMS includes a modal reduction of the boundary that must be recomputed for every wave vector. This limits computational benefits and prevents the reduced-order model from being useful for the inverse band-structure problem (i.e., the k(omega) calculation). The second enhancement is a local boundary reduction that is independent of wave vector and thus does not suffer from the aforementioned limitations. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free