Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement
The lateral vibration of monatomic chains considering atomic longitudinal displacements is studied by using the string vibration theory. The modes of lateral vibration of monatomic chains are assumed as the modes of string vibration. Based on the string assumption, the equation of string vibration f...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2019-06-01
|
| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348419828606 |
| _version_ | 1819202922195451904 |
|---|---|
| author | Canchang Liu Chicheng Ma Zhichang Qin Changcheng Zhou |
| author_facet | Canchang Liu Chicheng Ma Zhichang Qin Changcheng Zhou |
| author_sort | Canchang Liu |
| collection | DOAJ |
| description | The lateral vibration of monatomic chains considering atomic longitudinal displacements is studied by using the string vibration theory. The modes of lateral vibration of monatomic chains are assumed as the modes of string vibration. Based on the string assumption, the equation of string vibration for monatomic chains is established. Coordinates of the vibration atoms can be calculated by utilizing boundary conditions and symmetry conditions of monatomic chains. The natural angular frequencies of transverse vibration of monatomic chains are calculated by the string vibration method. The tension of the quantum limitation is given and the value of limitation can be used to distinguish nanoelectromechanical systems from quantum-electromechanical Systems. Natural angular frequencies and resonant frequencies of the monatomic chain string are associated with the axial tension acting on the string and the length of monatomic chains, and they can be altered by changing the length of the string and the axial tension acting on the string. The nonlinear vibration of single atomic chain can be analyzed using the improved Lindstedt–Poincaré multiscale method. The study found that the stiffness of the carbon monatomic chain can be altered by changing the length of the string and the tension acting on the string. |
| first_indexed | 2024-12-23T04:11:43Z |
| format | Article |
| id | doaj.art-a5a033a10ec54a169f38f5e982424919 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-12-23T04:11:43Z |
| publishDate | 2019-06-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-a5a033a10ec54a169f38f5e9824249192022-12-21T18:00:30ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-06-013810.1177/1461348419828606Lateral vibration analysis of monatomic chains considering atomic longitudinal displacementCanchang LiuChicheng MaZhichang QinChangcheng ZhouThe lateral vibration of monatomic chains considering atomic longitudinal displacements is studied by using the string vibration theory. The modes of lateral vibration of monatomic chains are assumed as the modes of string vibration. Based on the string assumption, the equation of string vibration for monatomic chains is established. Coordinates of the vibration atoms can be calculated by utilizing boundary conditions and symmetry conditions of monatomic chains. The natural angular frequencies of transverse vibration of monatomic chains are calculated by the string vibration method. The tension of the quantum limitation is given and the value of limitation can be used to distinguish nanoelectromechanical systems from quantum-electromechanical Systems. Natural angular frequencies and resonant frequencies of the monatomic chain string are associated with the axial tension acting on the string and the length of monatomic chains, and they can be altered by changing the length of the string and the axial tension acting on the string. The nonlinear vibration of single atomic chain can be analyzed using the improved Lindstedt–Poincaré multiscale method. The study found that the stiffness of the carbon monatomic chain can be altered by changing the length of the string and the tension acting on the string.https://doi.org/10.1177/1461348419828606 |
| spellingShingle | Canchang Liu Chicheng Ma Zhichang Qin Changcheng Zhou Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement Journal of Low Frequency Noise, Vibration and Active Control |
| title | Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| title_full | Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| title_fullStr | Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| title_full_unstemmed | Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| title_short | Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| title_sort | lateral vibration analysis of monatomic chains considering atomic longitudinal displacement |
| url | https://doi.org/10.1177/1461348419828606 |
| work_keys_str_mv | AT canchangliu lateralvibrationanalysisofmonatomicchainsconsideringatomiclongitudinaldisplacement AT chichengma lateralvibrationanalysisofmonatomicchainsconsideringatomiclongitudinaldisplacement AT zhichangqin lateralvibrationanalysisofmonatomicchainsconsideringatomiclongitudinaldisplacement AT changchengzhou lateralvibrationanalysisofmonatomicchainsconsideringatomiclongitudinaldisplacement |