Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system
Skrzypacz P. Ellis G. He J.-H. He C.-H.
June 2022Elsevier B.V.
Communications in Nonlinear Science and Numerical Simulation
2022#109
The initial value problem used for modeling a magnetic actuator arising from the design of a magnetic Micro-Electro-Mechanical Structure (magMEMS) with current-carrying filaments is derived using the concept of mutual inductance. The resulting model differential equation is nonlinear since it contains a term corresponding to the magnetic force between two filaments of finite length. The dynamic pull-in which occurs in the magMEMS model with one fixed and one moving filament is analyzed. The closed form approximate conditions for the dynamic pull-in are established in terms of model parameters. Approximate periodic solutions are derived analytically and numerical simulations are used for verification. These results are useful for understanding the modeling and operation of single-degree-of-freedom magMEMS.
Amplitude–frequency relation , Conservative singular oscillator , Current-carrying filament , Dynamic pull-in , magMEMS , Periodic solution
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School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, Kazakhstan
Independent Researcher, Seattle, WA, United States
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
School of Science, Xian University of Architecture and Technology, Xian, China
National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, Suzhou, China
School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, China
School of Sciences and Humanities
Independent Researcher
School of Mathematics and Information Science
School of Science
National Engineering Laboratory for Modern Silk
School of Mathematics
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