Study on the Existence and Stability of Periodic Solutions in Two Kinds of Comb-Drive Models

梳齿驱动模型作为微机电系统(MEMS)中的核心组件,其动力学特性对器件性能至关重要。本文针对两类典型的梳齿驱动模型——线性刚度项模型与非线性立方刚度项模型,系统总结了其周期解存在性及稳定性的研究方法。The comb-drive model, as a core component in Micro-Electro-Mechanical Systems (MEMS), has dynamics characteristics that are crucial to the performance of the device. This paper systematically summarizes the research methods for the existence and stability of periodic solutions for two typical comb-drive models: the linear stiffness model and the nonlinear cubic stiffness model.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/aam.2025.144159
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Study on the Existence and Stability of Periodic Solutions in Two Kinds of Comb-Drive Models

蕊 赵
Advances in Applied Mathematics
Advanced Mathematical Modeling in Engineering
article

Study on the Existence and Stability of Periodic Solutions in Two Kinds of Comb-Drive Models

蕊 赵
article en

Abstract

梳齿驱动模型作为微机电系统(MEMS)中的核心组件,其动力学特性对器件性能至关重要。本文针对两类典型的梳齿驱动模型——线性刚度项模型与非线性立方刚度项模型,系统总结了其周期解存在性及稳定性的研究方法。The comb-drive model, as a core component in Micro-Electro-Mechanical Systems (MEMS), has dynamics characteristics that are crucial to the performance of the device. This paper systematically summarizes the research methods for the existence and stability of periodic solutions for two typical comb-drive models: the linear stiffness model and the nonlinear cubic stiffness model.

Advances in Applied MathematicsVol. 14(04)
Openalex Percentile: Top 92%
Advanced Mathematical Modeling in Engineering
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Study on the Existence and Stability of Periodic Solutions in Two Kinds of Comb-Drive Models — 蕊 赵 · Advances in Applied Mathematics (2025) | TGRS Research Map | TGRS