Abstract
The initial value problem for a lumped parameter model arising from design of magneto–electromechanical device with a current-carrying conductor is analyzed. The differential equation is nonlinear because it includes the magnetic force term. The analysis for the dynamic pull-in occurring in the system is presented. The pull-in threshold is given analytically in terms of model parameters. Sufficient conditions for the existence of periodic solutions are proved analytically and verified numerically. The results can be useful for understanding and design of one-degree-of-freedom models of magnetically actuated beams.
| Original language | English |
|---|---|
| Pages (from-to) | 1059-1066 |
| Number of pages | 8 |
| Journal | Journal of Low Frequency Noise Vibration and Active Control |
| Volume | 40 |
| Issue number | 2 |
| DOIs | |
| Publication status | Accepted/In press - Jan 1 2019 |
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research was supported by the Nazarbayev University ORAU grant “Modeling and Simulation of Nonlinear Material Structures for Mechanical Pressure Sensing and Actuation Applications” awarded to Dr. Dongming Wei.
Keywords
- amplitude–frequency relation
- current-carrying conductor
- Micro-electromechanical systems
- nonlinear oscillator
- pull-in
ASJC Scopus subject areas
- Civil and Structural Engineering
- Building and Construction
- Acoustics and Ultrasonics
- Mechanics of Materials
- Geophysics
- Mechanical Engineering