On resonances in a weakly nonlinear microbeam due to an electric actuation
| Autor: | J.M. Tuwankotta, Eric Harjanto, Wim T. van Horssen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Subharmonic function Applied Mathematics Mechanical Engineering Mathematical analysis Aerospace Engineering Ocean Engineering Natural frequency Microbeam 01 natural sciences Resonance Vibration Forced vibration NEMS Nonlinear system MEMS Control and Systems Engineering Bending stiffness 0103 physical sciences Harmonic Electrical and Electronic Engineering 010301 acoustics Modal interaction Voltage |
| Zdroj: | Nonlinear Dynamics: an international journal of nonlinear dynamics and chaos in engineering systems, 104(4) |
| ISSN: | 0924-090X |
| Popis: | In this paper, the oscillations of an actuated, simply supported microbeam are studied for which it is assumed that the electric load is composed of a small DC polarization voltage and a small, harmonic AC voltage. Bending stiffness and mid-plane stretching are taken into account as well as small viscous or structural damping. No tensile axial force is assumed to be present. By using a multiple time-scales perturbation method, approximations of the solutions of the initial-boundary value problem for the microbeam equation are constructed. This analysis is performed without truncating the infinite series representation in advance as is usually done in the existing literature. It is shown in which cases truncation is allowed for this problem. Moreover, accurate and explicit approximations of the natural frequencies up to order $$\varepsilon ^3$$ of the actuated microbeam are also obtained. Intriguing and new modal vibrations are found when the frequency of the harmonic AC voltage is (near) half or twice a natural frequency of the microbeam, i.e., near a superharmonic or a subharmonic resonance. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink