Fourier Approximation of magMEMS Oscillations: Neural Network Space Handling
Open Access
- 28 November 2025
- journal article
- research article
- Published by MDPI AG in Micromachines
- Vol. 16 (12) , 1355
Abstract
The initial value problem for a model of magnetic Micro-Electro-Mechanical System (magMEMS) with current-carrying conductors is considered. The model equation is a conservative MEMS oscillator due to the presence of the singular term corresponding to the magnetic force between two current-conducting wires. If the excitation parameter is below a certain threshold, the actuator oscillates. Fourier approximation of periodic solutions is enhanced by neural network space handling for both the limiting case where the geometric parameter approaches zero and the general case with arbitrary geometric parameter values. The method is validated through numerical comparisons with high-precision solutions, and its limitations are identified during the verification of experimental results. The findings can be useful for the design of magMEMS models.Keywords
Funding Information
- Ministry of Education and Science of the Republic of Kazakhstan (AP19676969)
- Narodowe Centrum Nauki (OPUS 27)
This publication has 20 references indexed in Scilit:
- Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical systemCommunications in Nonlinear Science and Numerical Simulation, 2022
- Analysis of dynamic pull-in voltage and response time for a micro-electro-mechanical oscillator made of power-law materialsNonlinear Dynamics, 2021
- Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitationMathematical Methods in the Applied Sciences, 2020
- Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equationsJournal of Computational Physics, 2019
- On the dynamic pull-in instability in a mass-spring model of electrostatically actuated MEMS devicesJournal of Differential Equations, 2017
- Lorentz force based resonant MEMS magnetic-field sensor with optical readoutSensors and Actuators A: Physical, 2016
- Electrostatic pull-in instability in MEMS/NEMS: A reviewSensors and Actuators A: Physical, 2014
- Nanoelectromechanical contact switchesNature Nanotechnology, 2012
- Analytical approximate solutions to oscillation of a current-carrying wire in a magnetic fieldNonlinear Analysis: Real World Applications, 2009
- Very High Frequency Silicon Nanowire Electromechanical ResonatorsNano Letters, 2007