Frontiers in Physics, Journal Year: 2025, Volume and Issue: 13
Published: April 7, 2025
Introduction Microelectromechanical systems (MEMS) are pivotal in diverse fields such as telecommunications, healthcare, and aerospace. A critical challenge MEMS devices is accurately determining the pull-in displacement voltage, which significantly impacts device performance. Existing methods, including variational iteration method homotopy perturbation method, often fall short providing precise estimations of these parameters. Methods This study introduces a novel mathematical approach that combines physical insights into phenomenon with theory. The begins definition device's model. By uniquely applying principle incorporating custom-designed functional, set equations derived. These transformed an iterative algorithm for calculating displacement, nonlinear terms addressed through approximation techniques tailored to system’s characteristics. Results Validation using specific examples demonstrates method's accuracy voltage. For instance, oscillator case, exact results were achieved computation time 0.015 s. Compared traditional this yields values rather than approximations, showcasing superior precision efficiency. Discussion proposed offers significant advantages, enhanced accuracy, reduced computational time, minimized error accumulation by solving algebraic instead iterating differential equations. It also exhibits robustness variations initial conditions system Limitations include need modifying criterion when formulation unattainable exclusion environmental factors like temperature pressure fluctuations. Future research should focus on refining models incorporate integrating Galerkin technology. Conclusion advances understanding behavior holds substantial potential design optimization across various applications, further driving progression
Language: Английский