Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid
Vibrating micro-/nanosized cantilever beams under an applied axial force are the key components of various devices used in nanotechnology. In this study, we perform a complete theoretical investigation of the cantilever beams under an arbitrary value of the axial force vibrating in a specific enviro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2015-11-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4936421 |
| _version_ | 1828293302304112640 |
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| author | Ivo Stachiv Te-Hua Fang Tao-Hsing Chen |
| author_facet | Ivo Stachiv Te-Hua Fang Tao-Hsing Chen |
| author_sort | Ivo Stachiv |
| collection | DOAJ |
| description | Vibrating micro-/nanosized cantilever beams under an applied axial force are the key components of various devices used in nanotechnology. In this study, we perform a complete theoretical investigation of the cantilever beams under an arbitrary value of the axial force vibrating in a specific environment such as vacuum, air or viscous fluid. Based on the results easy accessible expressions enabling one the fast and highly accurate estimations of changes in the Q-factor and resonant frequencies of beam oscillating in viscous fluid caused by the applied axial force are derived and analyzed. It has been also shown that for beam-to-string and string vibrational regimes the mode shape starts to significantly deviate from the one known for a beam without axial force. Moreover, a linear dependency of the vibrational amplitude in resonance on the dimensionless tension parameter has been found. We revealed that only a large axial force, i.e. the string vibrational regime, significantly improves the Q-factor of beams submerged in fluid, while an increase of the axial force in beam and beam-to-string transition regimes has a negligibly small impact on the Q-factor enhancement. Experiments carried out on the carbon nanotubes and nanowires are in a good agreement with present theoretical predictions. |
| first_indexed | 2024-04-13T11:20:59Z |
| format | Article |
| id | doaj.art-5daefe958d9142eba06ffa74c4cec88b |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-13T11:20:59Z |
| publishDate | 2015-11-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-5daefe958d9142eba06ffa74c4cec88b2022-12-22T02:48:50ZengAIP Publishing LLCAIP Advances2158-32262015-11-01511117140117140-1410.1063/1.4936421069511ADVMicro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluidIvo Stachiv0Te-Hua Fang1Tao-Hsing Chen2Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, TaiwanDepartment of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, TaiwanDepartment of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, TaiwanVibrating micro-/nanosized cantilever beams under an applied axial force are the key components of various devices used in nanotechnology. In this study, we perform a complete theoretical investigation of the cantilever beams under an arbitrary value of the axial force vibrating in a specific environment such as vacuum, air or viscous fluid. Based on the results easy accessible expressions enabling one the fast and highly accurate estimations of changes in the Q-factor and resonant frequencies of beam oscillating in viscous fluid caused by the applied axial force are derived and analyzed. It has been also shown that for beam-to-string and string vibrational regimes the mode shape starts to significantly deviate from the one known for a beam without axial force. Moreover, a linear dependency of the vibrational amplitude in resonance on the dimensionless tension parameter has been found. We revealed that only a large axial force, i.e. the string vibrational regime, significantly improves the Q-factor of beams submerged in fluid, while an increase of the axial force in beam and beam-to-string transition regimes has a negligibly small impact on the Q-factor enhancement. Experiments carried out on the carbon nanotubes and nanowires are in a good agreement with present theoretical predictions.http://dx.doi.org/10.1063/1.4936421 |
| spellingShingle | Ivo Stachiv Te-Hua Fang Tao-Hsing Chen Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid AIP Advances |
| title | Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid |
| title_full | Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid |
| title_fullStr | Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid |
| title_full_unstemmed | Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid |
| title_short | Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid |
| title_sort | micro nanosized cantilever beams and mass sensors under applied axial tensile compressive force vibrating in vacuum and viscous fluid |
| url | http://dx.doi.org/10.1063/1.4936421 |
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