Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory
In this research, the nonlinear dynamics of an electrostatically actuated non-uniform microbeam equipped with a damping film and a piezoelectric layer have been studied. The nonlinear behaviour of the system was modelled using the von Karman geometrical strain terms. In addition, the strain gradient...
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| Format: | Article |
| Language: | English |
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Semnan University
2020-11-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_4242_1e3b6e333c257293541ee503c9fdc678.pdf |
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| author | Ayat Feyz Sayadian Shirko Faroughi |
| author_facet | Ayat Feyz Sayadian Shirko Faroughi |
| author_sort | Ayat Feyz Sayadian |
| collection | DOAJ |
| description | In this research, the nonlinear dynamics of an electrostatically actuated non-uniform microbeam equipped with a damping film and a piezoelectric layer have been studied. The nonlinear behaviour of the system was modelled using the von Karman geometrical strain terms. In addition, the strain gradient theory was utilized and the Hamilton principle was applied to obtain equations of motion and boundary conditions, respectively. The obtained equations were reduced using the Galerkin method, and the reduced equations were solved with the multiple scale method. The size-dependent responses were then investigated for primary, super-harmonic, and sub-harmonic resonances. The influence of beam width, beam thickness, and distance between electrodes on the resonant frequency response was studied along with nonlinearity of the system. The results showed that the static and forced vibration behaviours of microbeams strongly depended on the size of the electrodes. |
| format | Article |
| id | doaj-art-03c28ff37de244b786c4539ef66f2232 |
| institution | OA Journals |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2020-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-03c28ff37de244b786c4539ef66f22322025-08-20T02:36:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432020-11-017232133110.22075/macs.2020.18013.12104242Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient TheoryAyat Feyz Sayadian0Shirko Faroughi1Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, IranFaculty of Mechanical Engineering, Urmia University of Technology, Urmia, IranIn this research, the nonlinear dynamics of an electrostatically actuated non-uniform microbeam equipped with a damping film and a piezoelectric layer have been studied. The nonlinear behaviour of the system was modelled using the von Karman geometrical strain terms. In addition, the strain gradient theory was utilized and the Hamilton principle was applied to obtain equations of motion and boundary conditions, respectively. The obtained equations were reduced using the Galerkin method, and the reduced equations were solved with the multiple scale method. The size-dependent responses were then investigated for primary, super-harmonic, and sub-harmonic resonances. The influence of beam width, beam thickness, and distance between electrodes on the resonant frequency response was studied along with nonlinearity of the system. The results showed that the static and forced vibration behaviours of microbeams strongly depended on the size of the electrodes.https://macs.semnan.ac.ir/article_4242_1e3b6e333c257293541ee503c9fdc678.pdfpiezoelectricmicrobeamstrain gradient theorynonlinear geometryprimary resonancesub/super harmonic |
| spellingShingle | Ayat Feyz Sayadian Shirko Faroughi Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory Mechanics of Advanced Composite Structures piezoelectric microbeam strain gradient theory nonlinear geometry primary resonance sub/super harmonic |
| title | Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory |
| title_full | Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory |
| title_fullStr | Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory |
| title_full_unstemmed | Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory |
| title_short | Size-Dependent Nonlinear Dynamics of a Non-Uniform Piezoelectric Microbeam Based on the Strain Gradient Theory |
| title_sort | size dependent nonlinear dynamics of a non uniform piezoelectric microbeam based on the strain gradient theory |
| topic | piezoelectric microbeam strain gradient theory nonlinear geometry primary resonance sub/super harmonic |
| url | https://macs.semnan.ac.ir/article_4242_1e3b6e333c257293541ee503c9fdc678.pdf |
| work_keys_str_mv | AT ayatfeyzsayadian sizedependentnonlineardynamicsofanonuniformpiezoelectricmicrobeambasedonthestraingradienttheory AT shirkofaroughi sizedependentnonlineardynamicsofanonuniformpiezoelectricmicrobeambasedonthestraingradienttheory |