TY - GEN
T1 - Dynamic behavior and power flow analysis of Acoustic Black Hole beams
AU - Wang, Yuhang
AU - Du, Jingtao
AU - Cheng, Li
PY - 2019/1/1
Y1 - 2019/1/1
N2 - A truthful description of the energy transport process, which can be depicted by a physical quantity, namely power flow, is a significant angle to understand the Acoustic Black Hole (ABH) effect and its applications. To tackle the defect of existing semi-analytical models on ABH structures in calculating the higher-order derivatives of structural displacement, an energy formulation, in conjunction with a Rayleigh-Ritz procedure, is proposed for an ABH beam, in which the transverse displacement is constructed using Fourier series with supplementary terms. This treatment ensures the continuity and the smoothness of all relevant derivatives terms in the entire calculation domain, thus allowing the calculation of the power flow and structural intensity. Numerical examples are presented to illustrate the reliability and effectiveness of the established model. Numerical analyses on the dynamic behavior and power flow show the spatial and frequency characteristics of energy transmission process and reveal the ABH working mechanisms. While providing an efficient analysis tool, this work enriches the existing understanding on the dynamic behavior of ABH structures.
AB - A truthful description of the energy transport process, which can be depicted by a physical quantity, namely power flow, is a significant angle to understand the Acoustic Black Hole (ABH) effect and its applications. To tackle the defect of existing semi-analytical models on ABH structures in calculating the higher-order derivatives of structural displacement, an energy formulation, in conjunction with a Rayleigh-Ritz procedure, is proposed for an ABH beam, in which the transverse displacement is constructed using Fourier series with supplementary terms. This treatment ensures the continuity and the smoothness of all relevant derivatives terms in the entire calculation domain, thus allowing the calculation of the power flow and structural intensity. Numerical examples are presented to illustrate the reliability and effectiveness of the established model. Numerical analyses on the dynamic behavior and power flow show the spatial and frequency characteristics of energy transmission process and reveal the ABH working mechanisms. While providing an efficient analysis tool, this work enriches the existing understanding on the dynamic behavior of ABH structures.
KW - ABH beam
KW - Fourier series
KW - Power flow
KW - Structural intensity
UR - http://www.scopus.com/inward/record.url?scp=85084160607&partnerID=8YFLogxK
M3 - Conference article published in proceeding or book
AN - SCOPUS:85084160607
T3 - INTER-NOISE 2019 MADRID - 48th International Congress and Exhibition on Noise Control Engineering
BT - INTER-NOISE 2019 MADRID - 48th International Congress and Exhibition on Noise Control Engineering
A2 - Calvo-Manzano, Antonio
A2 - Delgado, Ana
A2 - Perez-Lopez, Antonio
A2 - Santiago, Jose Salvador
PB - SOCIEDAD ESPANOLA DE ACUSTICA - Spanish Acoustical Society, SEA
T2 - 48th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2019 MADRID
Y2 - 16 June 2019 through 19 June 2019
ER -