Abstract
As the systematic study of nonlinear vibrations of quartz crystal resonators, we have established the nonlinear Mindlin plate equations which include the strongly coupled thickness-shear and flexural modes. Based on the simplification of these complicated nonlinear equations, equations of thickness-shear vibrations of quartz crystal plates have been solved by the combination of the Galerkin method and homotopy analysis method (HAM). The amplitude-frequency relation we have obtained shows that the nonlinear frequency of thickness-shear vibrations depends on the vibration amplitude and thickness and length of plate, which is quite different from the linear cases. All these efforts will result in applicable solution techniques for further studies of nonlinear effects of quartz plates under bias fields for the precise analysis and design of quartz crystal resonators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
