Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections
Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonl...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2016
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/84154 http://hdl.handle.net/10220/41650 |
| _version_ | 1811678087090274304 |
|---|---|
| author | Zuo, Peng Zhou, Yu Fan, Zheng |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Zuo, Peng Zhou, Yu Fan, Zheng |
| author_sort | Zuo, Peng |
| collection | NTU |
| description | Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes. |
| first_indexed | 2024-10-01T02:47:41Z |
| format | Journal Article |
| id | ntu-10356/84154 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:47:41Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ntu-10356/841542023-03-04T17:19:38Z Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections Zuo, Peng Zhou, Yu Fan, Zheng School of Mechanical and Aerospace Engineering Nonlinear optical waveguides Tensor methods Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes. Published version 2016-11-29T08:47:18Z 2019-12-06T15:39:26Z 2016-11-29T08:47:18Z 2019-12-06T15:39:26Z 2016 Journal Article Zuo, P., Zhou, Y., & Fan, Z. (2016). Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections. AIP Advances, 6(7), 075207-. 2158-3226 https://hdl.handle.net/10356/84154 http://hdl.handle.net/10220/41650 10.1063/1.4959005 en AIP Advances © 2016 The Author(s) (published by American Institute of Physics). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). 14 p. application/pdf |
| spellingShingle | Nonlinear optical waveguides Tensor methods Zuo, Peng Zhou, Yu Fan, Zheng Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title | Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title_full | Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title_fullStr | Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title_full_unstemmed | Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title_short | Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| title_sort | numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections |
| topic | Nonlinear optical waveguides Tensor methods |
| url | https://hdl.handle.net/10356/84154 http://hdl.handle.net/10220/41650 |
| work_keys_str_mv | AT zuopeng numericalstudiesofnonlinearultrasonicguidedwavesinuniformwaveguideswitharbitrarycrosssections AT zhouyu numericalstudiesofnonlinearultrasonicguidedwavesinuniformwaveguideswitharbitrarycrosssections AT fanzheng numericalstudiesofnonlinearultrasonicguidedwavesinuniformwaveguideswitharbitrarycrosssections |