The Effects of Stress on Second Harmonics in Plate-Like Structures
Cumulative second harmonic of ultrasonic guided waves is considered to have great application potential in evaluating internal stress of structures. One difficulty with the application is the diversity and complexity of modal response to the stress change in waveguide. At present, there is a lack of...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/10/15/5124 |
| _version_ | 1797561321801121792 |
|---|---|
| author | Xiaochuan Niu Liqiang Zhu Zujun Yu |
| author_facet | Xiaochuan Niu Liqiang Zhu Zujun Yu |
| author_sort | Xiaochuan Niu |
| collection | DOAJ |
| description | Cumulative second harmonic of ultrasonic guided waves is considered to have great application potential in evaluating internal stress of structures. One difficulty with the application is the diversity and complexity of modal response to the stress change in waveguide. At present, there is a lack of relevant theoretical studies and experimental results to guide the applications. In this article, a method is proposed to characterize the amplitude change of cumulative second harmonic mode in a plate under stress through calculating the amplitude coefficient, which can be acquired based on mode shape analysis. The steel plate is taken as an example to demonstrate the analysis method. Experimental studies are presented with results consistent with the theoretical predictions. The results of this study indicate that the amplitudes of different cumulative second harmonic modes may increase or decrease monotonically with the change of stress. Therefore, when the phenomenon of modes mixing occurs in the waveguide, it is necessary to analyze and predict the amplitude of selected cumulative second harmonic mode with the change of stress in advance; otherwise, wrong results may be obtained. The method and conclusions proposed in this paper can also be applicable to waveguide of arbitrary cross-section and have universality. |
| first_indexed | 2024-03-10T18:12:15Z |
| format | Article |
| id | doaj.art-9b999f6fc57f4c6cbaa6a14b5de77c6e |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T18:12:15Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-9b999f6fc57f4c6cbaa6a14b5de77c6e2023-11-20T07:59:11ZengMDPI AGApplied Sciences2076-34172020-07-011015512410.3390/app10155124The Effects of Stress on Second Harmonics in Plate-Like StructuresXiaochuan Niu0Liqiang Zhu1Zujun Yu2School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaCumulative second harmonic of ultrasonic guided waves is considered to have great application potential in evaluating internal stress of structures. One difficulty with the application is the diversity and complexity of modal response to the stress change in waveguide. At present, there is a lack of relevant theoretical studies and experimental results to guide the applications. In this article, a method is proposed to characterize the amplitude change of cumulative second harmonic mode in a plate under stress through calculating the amplitude coefficient, which can be acquired based on mode shape analysis. The steel plate is taken as an example to demonstrate the analysis method. Experimental studies are presented with results consistent with the theoretical predictions. The results of this study indicate that the amplitudes of different cumulative second harmonic modes may increase or decrease monotonically with the change of stress. Therefore, when the phenomenon of modes mixing occurs in the waveguide, it is necessary to analyze and predict the amplitude of selected cumulative second harmonic mode with the change of stress in advance; otherwise, wrong results may be obtained. The method and conclusions proposed in this paper can also be applicable to waveguide of arbitrary cross-section and have universality.https://www.mdpi.com/2076-3417/10/15/5124platenonlinear guided wavessecond harmonicstressamplitude coefficientsemi-analytical finite element (SAFE) |
| spellingShingle | Xiaochuan Niu Liqiang Zhu Zujun Yu The Effects of Stress on Second Harmonics in Plate-Like Structures Applied Sciences plate nonlinear guided waves second harmonic stress amplitude coefficient semi-analytical finite element (SAFE) |
| title | The Effects of Stress on Second Harmonics in Plate-Like Structures |
| title_full | The Effects of Stress on Second Harmonics in Plate-Like Structures |
| title_fullStr | The Effects of Stress on Second Harmonics in Plate-Like Structures |
| title_full_unstemmed | The Effects of Stress on Second Harmonics in Plate-Like Structures |
| title_short | The Effects of Stress on Second Harmonics in Plate-Like Structures |
| title_sort | effects of stress on second harmonics in plate like structures |
| topic | plate nonlinear guided waves second harmonic stress amplitude coefficient semi-analytical finite element (SAFE) |
| url | https://www.mdpi.com/2076-3417/10/15/5124 |
| work_keys_str_mv | AT xiaochuanniu theeffectsofstressonsecondharmonicsinplatelikestructures AT liqiangzhu theeffectsofstressonsecondharmonicsinplatelikestructures AT zujunyu theeffectsofstressonsecondharmonicsinplatelikestructures AT xiaochuanniu effectsofstressonsecondharmonicsinplatelikestructures AT liqiangzhu effectsofstressonsecondharmonicsinplatelikestructures AT zujunyu effectsofstressonsecondharmonicsinplatelikestructures |