Active control of secondary resonances piezoelectric sandwich beams. (English) Zbl 1198.78007
Two piezoelectric thin layers, at the top and at the bottom of a rectangular elastic beam, act as sensor and actuator, respectively, their electric potentials being related the one another by a feedback relationship. Anharmonic vibrations and resonances occur in the transversally excited, clamped beam, due to the geometrical nonlinearities of the adopted von Karman model. Explicit analytical and numerical results for vibrations and resonances depending on the electric parameters are provided by the authors.
Reviewer: Carmine Trimarco (Pisa)
MSC:
| 78A55 | Technical applications of optics and electromagnetic theory |
| 74F15 | Electromagnetic effects in solid mechanics |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74H10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics |
| 74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |
| 70K30 | Nonlinear resonances for nonlinear problems in mechanics |
| 70K40 | Forced motions for nonlinear problems in mechanics |
Keywords:
nonlinear; subharmonics; superharmonics; feedback; control; vibrations; instability; bifurcationReferences:
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