Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory
The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s principle. By the exact solution of the governing...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/598292 |
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| author | R. Ansari M. A. Ashrafi S. Hosseinzadeh |
| author_facet | R. Ansari M. A. Ashrafi S. Hosseinzadeh |
| author_sort | R. Ansari |
| collection | DOAJ |
| description | The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s principle. By the exact solution of the governing equations, an expression for natural frequencies of microbeams with simply supported boundary conditions is obtained. Numerical results for both beam models are presented and the effects of piezoelectricity and length scale parameter are illustrated. It is found that the influences of piezoelectricity and size effects are more prominent when the length of microbeams decreases. A comparison between two beam models also reveals that the Euler-Bernoulli beam model tends to overestimate the natural frequencies of microbeams as compared to its Timoshenko counterpart. |
| format | Article |
| id | doaj-art-85284e5281dc4207b828b0845bb101b1 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-85284e5281dc4207b828b0845bb101b12025-08-20T03:37:12ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/598292598292Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress TheoryR. Ansari0M. A. Ashrafi1S. Hosseinzadeh2Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, IranDepartment of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, IranDepartment of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, IranThe vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s principle. By the exact solution of the governing equations, an expression for natural frequencies of microbeams with simply supported boundary conditions is obtained. Numerical results for both beam models are presented and the effects of piezoelectricity and length scale parameter are illustrated. It is found that the influences of piezoelectricity and size effects are more prominent when the length of microbeams decreases. A comparison between two beam models also reveals that the Euler-Bernoulli beam model tends to overestimate the natural frequencies of microbeams as compared to its Timoshenko counterpart.http://dx.doi.org/10.1155/2014/598292 |
| spellingShingle | R. Ansari M. A. Ashrafi S. Hosseinzadeh Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory Shock and Vibration |
| title | Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory |
| title_full | Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory |
| title_fullStr | Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory |
| title_full_unstemmed | Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory |
| title_short | Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory |
| title_sort | vibration characteristics of piezoelectric microbeams based on the modified couple stress theory |
| url | http://dx.doi.org/10.1155/2014/598292 |
| work_keys_str_mv | AT ransari vibrationcharacteristicsofpiezoelectricmicrobeamsbasedonthemodifiedcouplestresstheory AT maashrafi vibrationcharacteristicsofpiezoelectricmicrobeamsbasedonthemodifiedcouplestresstheory AT shosseinzadeh vibrationcharacteristicsofpiezoelectricmicrobeamsbasedonthemodifiedcouplestresstheory |