A nonlinear analysis of surface acoustic waves in isotropic elastic solids
With the fast evolution of wireless and networking communication technology, applications of surface acoustic wave (SAW), or Rayleigh wave, resonators are proliferating with fast shrinking sizes and increasing frequencies. It is inevitable that the smaller resonators will be under a strong electric...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-02-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S209503492200006X |
| _version_ | 1811233785894666240 |
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| author | Haoxiang Wu Rongxing Wu Tingfeng Ma Zixiao Lu Honglang Li Ji Wang |
| author_facet | Haoxiang Wu Rongxing Wu Tingfeng Ma Zixiao Lu Honglang Li Ji Wang |
| author_sort | Haoxiang Wu |
| collection | DOAJ |
| description | With the fast evolution of wireless and networking communication technology, applications of surface acoustic wave (SAW), or Rayleigh wave, resonators are proliferating with fast shrinking sizes and increasing frequencies. It is inevitable that the smaller resonators will be under a strong electric field with induced large deformation, which has to be described in wave propagation equations with the consideration of nonlinearity. In this study, the formal nonlinear equations of motion are constructed by introducing the nonlinear constitutive relation and strain components in a standard procedure, and the equations are simplified by the extended Galerkin method through the elimination of harmonics. The wave velocity of the nonlinear SAW is obtained from approximated nonlinear equations and boundary conditions through a rigorous solution procedure. It is shown that if the amplitude is small enough, the nonlinear results are consistent with the linear results, demonstrating an alternative procedure for nonlinear analysis of SAW devices working in nonlinear state. |
| first_indexed | 2024-04-12T11:26:27Z |
| format | Article |
| id | doaj.art-5a12492a13e44a42a9a4d773647cb880 |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-04-12T11:26:27Z |
| publishDate | 2022-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-5a12492a13e44a42a9a4d773647cb8802022-12-22T03:35:13ZengElsevierTheoretical and Applied Mechanics Letters2095-03492022-02-01122100326A nonlinear analysis of surface acoustic waves in isotropic elastic solidsHaoxiang Wu0Rongxing Wu1Tingfeng Ma2Zixiao Lu3Honglang Li4Ji Wang5Piezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, ChinaNational Center for Nanoscience and Technology, Beijing 100190, ChinaNational Center for Nanoscience and Technology, Beijing 100190, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, China; Corresponding author.With the fast evolution of wireless and networking communication technology, applications of surface acoustic wave (SAW), or Rayleigh wave, resonators are proliferating with fast shrinking sizes and increasing frequencies. It is inevitable that the smaller resonators will be under a strong electric field with induced large deformation, which has to be described in wave propagation equations with the consideration of nonlinearity. In this study, the formal nonlinear equations of motion are constructed by introducing the nonlinear constitutive relation and strain components in a standard procedure, and the equations are simplified by the extended Galerkin method through the elimination of harmonics. The wave velocity of the nonlinear SAW is obtained from approximated nonlinear equations and boundary conditions through a rigorous solution procedure. It is shown that if the amplitude is small enough, the nonlinear results are consistent with the linear results, demonstrating an alternative procedure for nonlinear analysis of SAW devices working in nonlinear state.http://www.sciencedirect.com/science/article/pii/S209503492200006XSurfaceWaveNonlinearGalerkinResonator |
| spellingShingle | Haoxiang Wu Rongxing Wu Tingfeng Ma Zixiao Lu Honglang Li Ji Wang A nonlinear analysis of surface acoustic waves in isotropic elastic solids Theoretical and Applied Mechanics Letters Surface Wave Nonlinear Galerkin Resonator |
| title | A nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| title_full | A nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| title_fullStr | A nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| title_full_unstemmed | A nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| title_short | A nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| title_sort | nonlinear analysis of surface acoustic waves in isotropic elastic solids |
| topic | Surface Wave Nonlinear Galerkin Resonator |
| url | http://www.sciencedirect.com/science/article/pii/S209503492200006X |
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