Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams
In the present paper, the exact modeling and frequency analysis of the mass sensor nanobeam are investigated based on a higher-order elasticity theory with taking into account the longitudinal discontinuity. The energy equations of the beam are expressed considering discontinuity, and finally, the v...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Semnan University
2021-11-01
|
| Series: | Mechanics of Advanced Composite Structures |
| Subjects: | |
| Online Access: | https://macs.semnan.ac.ir/article_4965_41d25f6b77b65f83ad16de74a3a02972.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846119675120844800 |
|---|---|
| author | mostafa Nazemizadeh Hadi Saffari Abbass Assadi Moein Taheri |
| author_facet | mostafa Nazemizadeh Hadi Saffari Abbass Assadi Moein Taheri |
| author_sort | mostafa Nazemizadeh |
| collection | DOAJ |
| description | In the present paper, the exact modeling and frequency analysis of the mass sensor nanobeam are investigated based on a higher-order elasticity theory with taking into account the longitudinal discontinuity. The energy equations of the beam are expressed considering discontinuity, and finally, the vibration equations and boundary conditions of the non-uniform nanobeam are derived using Hamilton’s principle. By the implementation of an analytical solution, the number of shape functions equal to longitudinal discontinuities is assumed. Then, by expressing the compatibility and boundary conditions, the frequency equation of the discontinuous nanobeam is obtained and solved. Effects of different parameters such as sensed mass and size effects on the frequency behavior of the nanobeam are investigated at various vibrational modes. The results show that accurate modeling of discontinuous nanobeam is important. Also, Changing the position of the sensed mass to the free end of the nanotube increases the sensing feature of the beam, and the size effect reduces it. The size effect reduces the frequency and increases the amplitude of the mode shape, especially at higher vibrational modes. The results also show that the sensing feature of the mass sensor nanobeam is more prominent at higher modes of vibration, and therefore the use of mass sensor nanobeam at higher vibrational modes is recommended. |
| format | Article |
| id | doaj-art-17f7f6a0db0446e49b669a3ca4f22a36 |
| institution | Kabale University |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2021-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-17f7f6a0db0446e49b669a3ca4f22a362024-12-16T21:03:20ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432021-11-018223524410.22075/macs.2021.20648.12674965Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeamsmostafa Nazemizadeh0Hadi Saffari1Abbass Assadi2Moein Taheri3Faculty of Mechanics, Male Ashtar University of Technology, IranFaculty of Mechanics, Male Ashtar University of Technology, IranFaculty of Mechanics, Male Ashtar University of Technology, IranDepartment of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, IranIn the present paper, the exact modeling and frequency analysis of the mass sensor nanobeam are investigated based on a higher-order elasticity theory with taking into account the longitudinal discontinuity. The energy equations of the beam are expressed considering discontinuity, and finally, the vibration equations and boundary conditions of the non-uniform nanobeam are derived using Hamilton’s principle. By the implementation of an analytical solution, the number of shape functions equal to longitudinal discontinuities is assumed. Then, by expressing the compatibility and boundary conditions, the frequency equation of the discontinuous nanobeam is obtained and solved. Effects of different parameters such as sensed mass and size effects on the frequency behavior of the nanobeam are investigated at various vibrational modes. The results show that accurate modeling of discontinuous nanobeam is important. Also, Changing the position of the sensed mass to the free end of the nanotube increases the sensing feature of the beam, and the size effect reduces it. The size effect reduces the frequency and increases the amplitude of the mode shape, especially at higher vibrational modes. The results also show that the sensing feature of the mass sensor nanobeam is more prominent at higher modes of vibration, and therefore the use of mass sensor nanobeam at higher vibrational modes is recommended.https://macs.semnan.ac.ir/article_4965_41d25f6b77b65f83ad16de74a3a02972.pdfnanobeamvibrationmass sensorsize effects |
| spellingShingle | mostafa Nazemizadeh Hadi Saffari Abbass Assadi Moein Taheri Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams Mechanics of Advanced Composite Structures nanobeam vibration mass sensor size effects |
| title | Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams |
| title_full | Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams |
| title_fullStr | Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams |
| title_full_unstemmed | Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams |
| title_short | Size-dependent Vibration Analysis of Non-uniform Mass Sensor Nanobeams |
| title_sort | size dependent vibration analysis of non uniform mass sensor nanobeams |
| topic | nanobeam vibration mass sensor size effects |
| url | https://macs.semnan.ac.ir/article_4965_41d25f6b77b65f83ad16de74a3a02972.pdf |
| work_keys_str_mv | AT mostafanazemizadeh sizedependentvibrationanalysisofnonuniformmasssensornanobeams AT hadisaffari sizedependentvibrationanalysisofnonuniformmasssensornanobeams AT abbassassadi sizedependentvibrationanalysisofnonuniformmasssensornanobeams AT moeintaheri sizedependentvibrationanalysisofnonuniformmasssensornanobeams |