Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End
Engineering systems undergoing extreme and harsh environments can often times experience rapid damaging effects. In order to minimize loss of economic investment and human lives, structural health monitoring (SHM) of these high-rate systems is being researched. An experimental testbed has been devel...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/9/15/2996 |
| _version_ | 1818487482583351296 |
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| author | Jonathan Hong Jacob Dodson Simon Laflamme Austin Downey |
| author_facet | Jonathan Hong Jacob Dodson Simon Laflamme Austin Downey |
| author_sort | Jonathan Hong |
| collection | DOAJ |
| description | Engineering systems undergoing extreme and harsh environments can often times experience rapid damaging effects. In order to minimize loss of economic investment and human lives, structural health monitoring (SHM) of these high-rate systems is being researched. An experimental testbed has been developed to validate SHM methods in a controllable and repeatable laboratory environment. This study applies the Euler-Bernoulli beam theory to this testbed to develop analytical solutions of the system. The transverse vibration of a clamped-pinned-free beam with a point mass at the free end is discussed in detail. Results are derived for varying pin locations and mass values. Eigenvalue plots of the first five modes are presented along with their respective mode shapes. The theoretical calculations are experimentally validated and discussed. |
| first_indexed | 2024-12-10T16:38:14Z |
| format | Article |
| id | doaj.art-300bca9eb14043649ca4ba4fc9487f56 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-10T16:38:14Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-300bca9eb14043649ca4ba4fc9487f562022-12-22T01:41:18ZengMDPI AGApplied Sciences2076-34172019-07-01915299610.3390/app9152996app9152996Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free EndJonathan Hong0Jacob Dodson1Simon Laflamme2Austin Downey3Applied Research Associates, Emerald Coast Division, Niceville, FL 32578, USAAir Force Research Laboratory, Munitions Directorate, Eglin AFB, FL 32542, USADepartment of Civil, Construction, and Environmental Engineering, Iowa State University, Ames, IA 50011, USADepartment of Mechanical Engineering, University of South Carolina, Columbia, SC 29201, USAEngineering systems undergoing extreme and harsh environments can often times experience rapid damaging effects. In order to minimize loss of economic investment and human lives, structural health monitoring (SHM) of these high-rate systems is being researched. An experimental testbed has been developed to validate SHM methods in a controllable and repeatable laboratory environment. This study applies the Euler-Bernoulli beam theory to this testbed to develop analytical solutions of the system. The transverse vibration of a clamped-pinned-free beam with a point mass at the free end is discussed in detail. Results are derived for varying pin locations and mass values. Eigenvalue plots of the first five modes are presented along with their respective mode shapes. The theoretical calculations are experimentally validated and discussed.https://www.mdpi.com/2076-3417/9/15/2996beamvibrationstructural health monitoringhigh-rate dynamics |
| spellingShingle | Jonathan Hong Jacob Dodson Simon Laflamme Austin Downey Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End Applied Sciences beam vibration structural health monitoring high-rate dynamics |
| title | Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End |
| title_full | Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End |
| title_fullStr | Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End |
| title_full_unstemmed | Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End |
| title_short | Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End |
| title_sort | transverse vibration of clamped pinned free beam with mass at free end |
| topic | beam vibration structural health monitoring high-rate dynamics |
| url | https://www.mdpi.com/2076-3417/9/15/2996 |
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