计算力学学报2026，Vol.43Issue(2)：223-229,243,8.DOI:10.7511/jslx20250319001
一种改进的RBME能带结构计算方法
An improved Reduced Bloch Mode Expansion(RBME)method for band structure calculation
摘要
Abstract
This paper presents an improved Reduced Bloch Mode Expansion(RBME)method for band structure analysis by integrating the classical RBME algorithm with modal synthesis techniques and the Novel Implementation of Asymptotic Homogenization(NIAH).The proposed method addresses the computational inefficiency of the classical RBME algorithm,which repeatedly constructs orthogonal bases at discrete wavevector points,by combining it with Hou's method from modal synthesis.Instead of reconstructing the reduced-order system for each wavevector point,the new approach updates the reduced-order modal space under Bloch-periodic boundary conditions,thereby avoiding redundant global reduction processes.Furthermore,the NIAH procedure is employed to approximate eigenvector bases,circumventing the need to solve large-scale generalized eigenvalue problems at multiple wavevector points,which further enhances computational efficiency.Numerical experiments on twotypes of phononic crystal band structures demonstrate that the proposed method achieves a significant efficiency improvement over classical RBME,reducing the computation time to approximately 15％of the original method while exhibiting strong numerical robustness across diverse band structure analysis scenarios.关键词
能带结构/有限元方法/模态降阶/模态综合法/NIAH方法Key words
band structure/finite element method(FEM)/modal reduction/modal synthesis method/NIAH method(Novel Implementation of Asymptotic Homogenization)分类
数理科学引用本文复制引用
姜殿恒,张盛,李云鹏,陈飙松,叶宏飞..一种改进的RBME能带结构计算方法[J].计算力学学报,2026,43(2):223-229,243,8.基金项目
国家重点研发计划(2021YFB3302501) （2021YFB3302501）
国家自然科学基金(12072059)资助项目. （12072059）
