Numerical analysis of linear and circular wedge acoustic waveguides
This study employs Hamilton’s principle and a bi-dimensional finite element method (Bi-d FEM) to investigate the dispersion characteristics and resonant modes of linear and circular wedge acoustic waveguides. The ANSYS three-dimensional FEM is commonly used to analyze waveguides and calculate the re...
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SAGE Publishing
2025-04-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132251335829 |
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| author | Tai-Ho Yu |
| author_facet | Tai-Ho Yu |
| author_sort | Tai-Ho Yu |
| collection | DOAJ |
| description | This study employs Hamilton’s principle and a bi-dimensional finite element method (Bi-d FEM) to investigate the dispersion characteristics and resonant modes of linear and circular wedge acoustic waveguides. The ANSYS three-dimensional FEM is commonly used to analyze waveguides and calculate the resonance frequency of vibration modes. However, the accuracy of this approach is constrained by how finely the elements are divided, limiting its applicability to the analysis of lower-order resonant modes. Therefore, to extend the analysis to high-frequency and high-order resonance modes, the Bi-d FEM is used. Based on the separation of variables method, this approach discretizes the time-harmonic propagation factor and the cross-sectional vibration of guided waves into two-dimensional finite elements. The number of divided elements is reduced, resulting in considerably improved calculation accuracy. The Bi-d FEM results indicate that the antisymmetric wave mode of the linear wedge acoustic waveguide decreases with vertex angle and that the wave velocity is lower than the Rayleigh wave velocity, which is consistent with the results obtained using Lagasse’s empirical formula. In both linear and circular wedge acoustic waveguides, the energy of the guided wave is concentrated at the wedge tip; therefore, it exhibit the characteristic behavior of an antisymmetric flexural wave. |
| format | Article |
| id | doaj-art-a8076b9d3fce49778345d590df42c704 |
| institution | OA Journals |
| issn | 1687-8140 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj-art-a8076b9d3fce49778345d590df42c7042025-08-20T02:19:51ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402025-04-011710.1177/16878132251335829Numerical analysis of linear and circular wedge acoustic waveguidesTai-Ho Yu0Department of Electronic Engineering, National United University, Miaoli, TaiwanThis study employs Hamilton’s principle and a bi-dimensional finite element method (Bi-d FEM) to investigate the dispersion characteristics and resonant modes of linear and circular wedge acoustic waveguides. The ANSYS three-dimensional FEM is commonly used to analyze waveguides and calculate the resonance frequency of vibration modes. However, the accuracy of this approach is constrained by how finely the elements are divided, limiting its applicability to the analysis of lower-order resonant modes. Therefore, to extend the analysis to high-frequency and high-order resonance modes, the Bi-d FEM is used. Based on the separation of variables method, this approach discretizes the time-harmonic propagation factor and the cross-sectional vibration of guided waves into two-dimensional finite elements. The number of divided elements is reduced, resulting in considerably improved calculation accuracy. The Bi-d FEM results indicate that the antisymmetric wave mode of the linear wedge acoustic waveguide decreases with vertex angle and that the wave velocity is lower than the Rayleigh wave velocity, which is consistent with the results obtained using Lagasse’s empirical formula. In both linear and circular wedge acoustic waveguides, the energy of the guided wave is concentrated at the wedge tip; therefore, it exhibit the characteristic behavior of an antisymmetric flexural wave.https://doi.org/10.1177/16878132251335829 |
| spellingShingle | Tai-Ho Yu Numerical analysis of linear and circular wedge acoustic waveguides Advances in Mechanical Engineering |
| title | Numerical analysis of linear and circular wedge acoustic waveguides |
| title_full | Numerical analysis of linear and circular wedge acoustic waveguides |
| title_fullStr | Numerical analysis of linear and circular wedge acoustic waveguides |
| title_full_unstemmed | Numerical analysis of linear and circular wedge acoustic waveguides |
| title_short | Numerical analysis of linear and circular wedge acoustic waveguides |
| title_sort | numerical analysis of linear and circular wedge acoustic waveguides |
| url | https://doi.org/10.1177/16878132251335829 |
| work_keys_str_mv | AT taihoyu numericalanalysisoflinearandcircularwedgeacousticwaveguides |