Nonlinear superharmonic and subharmonic resonances of piezoelectric elliptic thin plates under thermoelastic coupling effect
| Autor: | H.T. Li, Y. Meng, C.X. Xue, Xiaoyao Wang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Subharmonic function Field (physics) Mechanical Engineering Mathematical analysis Resonance 02 engineering and technology Condensed Matter Physics 01 natural sciences Piezoelectricity 010305 fluids & plasmas Physics::Fluid Dynamics Nonlinear system 020303 mechanical engineering & transports Thermoelastic damping Amplitude 0203 mechanical engineering Mechanics of Materials 0103 physical sciences Plate theory General Materials Science Civil and Structural Engineering |
| Zdroj: | Mechanics Research Communications. 107:103560 |
| ISSN: | 0093-6413 |
| DOI: | 10.1016/j.mechrescom.2020.103560 |
| Popis: | This paper aims at investigating the nonlinear vibration characteristics of the piezoelectric elliptic thin plate under the combined action of external harmonic excitation and temperature field. Based on the Von-Karman plate theory of large deflection, the nonlinear governing equation is derived by using the Bubnov-Galerkin method. Then, the amplitude-frequency response equations are further obtained using the multi-scale method, and the stability conditions of the steady solution are determined according to the Routh-Hurwitz criterion. The effects of the temperature difference at the plate center, the effective damping coefficient, the external excitation amplitude, and the ratio of the semi-major axis to the semi-minor axis on superharmonic and subharmonic resonances behaviors of the piezoelectric elliptic thin plate are analyzed. It is found that the coexistence region of multiple solutions and the resonant amplitude decrease for superharmonic resonance, as the temperature difference at the plate center increases. For subharmonic resonance, with the increase in the temperature difference at the plate center, the response amplitude increases, while the distance between two branches of the amplitude-frequency response curve has no obvious change. The softened/hardened nonlinear characteristics of the system are determined by the ratio of the semi-major axis to the semi-minor axis of the piezoelectric elliptic thin plate. |
| Databáze: | OpenAIRE |
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