Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions
The simple spring structure, with detachable electrical contacts, is a very suitable solution for many applications, such as electromechanical relays and connectors. However, they are prone to exhibit instantaneous interruption faults under mechanical vibration environments. In this paper, the gover...
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MDPI AG
2025-01-01
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| Online Access: | https://www.mdpi.com/2075-1702/13/1/52 |
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| author | Yinnan Zhang Chao Zhang Yuan Meng Wanbin Ren |
| author_facet | Yinnan Zhang Chao Zhang Yuan Meng Wanbin Ren |
| author_sort | Yinnan Zhang |
| collection | DOAJ |
| description | The simple spring structure, with detachable electrical contacts, is a very suitable solution for many applications, such as electromechanical relays and connectors. However, they are prone to exhibit instantaneous interruption faults under mechanical vibration environments. In this paper, the governing equations of the modal analysis of a beam with cantilever-Hertzian contact boundary conditions are presented. Then, the time domain analysis method and frequency domain analysis method for solving the forced vibration response are described explicitly. Next, the effect of the axial force on the modal frequency of a detailed model sourced from the practical relay is investigated by using commercial ANSYS Workbench 2021R1 software. Afterward, the harmonic response of the beam is numerically solved individually by using the transient analysis model and the harmonic analysis model in ANSYS Workbench 2021R1 software. Then, the influences of the damping coefficient and excited frequency on the contact force response are investigated. The experimental results of transient displacement and contact resistance of the beam structure agree well with the simulation outcomes. It is proven that there is a linear relationship between the stiffness coefficient and the mass coefficient, which are used for characterizing the damping of the structures in the time domain method and frequency domain methods. |
| format | Article |
| id | doaj-art-098a0b89c19a453c8ce2563e20dc1079 |
| institution | Kabale University |
| issn | 2075-1702 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj-art-098a0b89c19a453c8ce2563e20dc10792025-01-24T13:39:17ZengMDPI AGMachines2075-17022025-01-011315210.3390/machines13010052Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary ConditionsYinnan Zhang0Chao Zhang1Yuan Meng2Wanbin Ren3School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaThe simple spring structure, with detachable electrical contacts, is a very suitable solution for many applications, such as electromechanical relays and connectors. However, they are prone to exhibit instantaneous interruption faults under mechanical vibration environments. In this paper, the governing equations of the modal analysis of a beam with cantilever-Hertzian contact boundary conditions are presented. Then, the time domain analysis method and frequency domain analysis method for solving the forced vibration response are described explicitly. Next, the effect of the axial force on the modal frequency of a detailed model sourced from the practical relay is investigated by using commercial ANSYS Workbench 2021R1 software. Afterward, the harmonic response of the beam is numerically solved individually by using the transient analysis model and the harmonic analysis model in ANSYS Workbench 2021R1 software. Then, the influences of the damping coefficient and excited frequency on the contact force response are investigated. The experimental results of transient displacement and contact resistance of the beam structure agree well with the simulation outcomes. It is proven that there is a linear relationship between the stiffness coefficient and the mass coefficient, which are used for characterizing the damping of the structures in the time domain method and frequency domain methods.https://www.mdpi.com/2075-1702/13/1/52flexible beam structuremodal analysisharmonic vibrationcontact resistancedamping coefficient |
| spellingShingle | Yinnan Zhang Chao Zhang Yuan Meng Wanbin Ren Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions Machines flexible beam structure modal analysis harmonic vibration contact resistance damping coefficient |
| title | Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions |
| title_full | Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions |
| title_fullStr | Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions |
| title_full_unstemmed | Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions |
| title_short | Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions |
| title_sort | numerical investigation and experimental verification of vibration behavior for a beam with cantilever hertzian contact boundary conditions |
| topic | flexible beam structure modal analysis harmonic vibration contact resistance damping coefficient |
| url | https://www.mdpi.com/2075-1702/13/1/52 |
| work_keys_str_mv | AT yinnanzhang numericalinvestigationandexperimentalverificationofvibrationbehaviorforabeamwithcantileverhertziancontactboundaryconditions AT chaozhang numericalinvestigationandexperimentalverificationofvibrationbehaviorforabeamwithcantileverhertziancontactboundaryconditions AT yuanmeng numericalinvestigationandexperimentalverificationofvibrationbehaviorforabeamwithcantileverhertziancontactboundaryconditions AT wanbinren numericalinvestigationandexperimentalverificationofvibrationbehaviorforabeamwithcantileverhertziancontactboundaryconditions |