AUTHOR=Lei Xian-He , Cui Yutong 

TITLE=Harmonic balance method for MEMS oscillators

JOURNAL=Frontiers in Physics

VOLUME=Volume 13 - 2025

YEAR=2025

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1597421

DOI=10.3389/fphy.2025.1597421

ISSN=2296-424X

ABSTRACT=IntroductionMicro-Electro-Mechanical System (MEMS) oscillators play a pivotal role in diverse applications such as biosensors and wearable sensors. To optimize their performance and ensure reliability, exploring their periodic properties and pull-in instability during the study of MEMS oscillators with singularity is crucial. The harmonic balance method, a prevalent approach for analyzing nonlinear systems, is selected as the research focus.MethodsThis study conducts an in-depth theoretical analysis of the harmonic balance method applied to MEMS oscillators. The treatment of singular terms and the selection of approximate solutions within this method are meticulously examined.ResultsThe analysis reveals that the handling of singular terms and the choice of approximate solutions in the harmonic balance method have a significant impact on the accuracy of determining the pull-in condition. Incorrect choices can lead to large errors, while a well-chosen approximate solution can remarkably improve the accuracy of predicting pull-in instability.DiscussionThe research findings provide valuable insights for enhancing the application of the harmonic balance method in the analysis of MEMS oscillators. These results can serve as references for future studies aiming to further optimize the performance and reliability of MEMS oscillator-based devices.