期刊論文

學年 114
學期 2
出版(發表)日期 2026-06-07
作品名稱 Analytical modeling and nonlinear dynamics of an acoustic black hole–assisted double-beam system with electromechanical coupling
作品名稱(其他語言)
著者 Yi-Ren Wang; Chen-Yen Yu
單位
出版者
著錄名稱、卷期、頁數 Applied Mathematical Modelling; Volume 161; 2027; 117120
摘要 This study investigates the nonlinear dynamic behavior and electromechanical response of an acoustic black hole (ABH)-assisted double-beam system through analytical modeling, numerical simulations, and experimental validation. A nonlinear dynamic model is developed to describe the interaction between a primary beam on an elastic foundation and an ABH-based beam connected through a spring. The governing equations are derived based on nonlinear beam theory, and the method of multiple scales is employed to investigate modal interactions and internal resonance behavior. The results reveal the possibility of a 1:3 internal resonance between the first and second vibration modes. Analytical mode shape functions for the coupled uniform–ABH beam system are derived, providing a theoretical formulation for coupled uniform–ABH beam configurations for which closed-form solutions are rarely available. The analytical results are further validated using both a self-consistent iterative method and a finite-difference approach. The analyses demonstrate that the ABH structure induces significant energy localization, leading to reduced vibration amplitude and enhanced electromechanical response. Parametric studies are conducted to examine the influence of the coupling location, showing that the mid-span configuration yields the most effective response. Numerical simulations are performed to verify the analytical predictions, and experimental validations are conducted under both near-internal-resonance (frequency ratio ≈ 1:3.03) and non-internal-resonance (frequency ratio ≈ 1:2.08) conditions, demonstrating that the proposed ABH-assisted system remains effective and robust under practically achievable operating environments. Overall, the proposed analytical framework provides a physically consistent and computationally efficient methodology for modeling nonlinear dynamics and electromechanical behavior in ABH-assisted electromechanical beam systems.
關鍵字 Acoustic black hole; Nonlinear dynamics; Reduced-order modeling; Electromechanical coupling; Coupled beam system.
語言 en_US
ISSN 1872-8480
期刊性質 國外
收錄於 SCI EI
產學合作
通訊作者 Yi-Ren Wang
審稿制度 否
國別 USA
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/129837 )