Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation

Ji Huan He; Piotr Sebastian Skrzypacz; Yanni Zhang; Jing Pang

doi:10.1002/mma.7018

Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation

Ji Huan He
, Piotr Sebastian Skrzypacz
, Yanni Zhang
, Jing Pang

Xi'an University of Architecture and Technology
Henan Polytechnic University
Soochow University
Inner Mongolia University of Technology

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

A way to obtain approximate periodic solutions to nonlinear oscillators arising in a microelectromechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency–amplitude relationship is derived by adopting He′s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.7018
Publication status	Accepted/In press - 2020

Keywords

homotopy perturbation method
magnetostatic excitation
MEMS
nonlinear oscillator
periodic solution
pull-in instability

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.7018

Cite this

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title = "Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation",

abstract = "A way to obtain approximate periodic solutions to nonlinear oscillators arising in a microelectromechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency–amplitude relationship is derived by adopting He′s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.",

keywords = "homotopy perturbation method, magnetostatic excitation, MEMS, nonlinear oscillator, periodic solution, pull-in instability",

author = "He, \{Ji Huan\} and Skrzypacz, \{Piotr Sebastian\} and Yanni Zhang and Jing Pang",

note = "Publisher Copyright: {\textcopyright} 2020 John Wiley \& Sons, Ltd.",

year = "2020",

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language = "English",

journal = "Mathematical Methods in the Applied Sciences",

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T1 - Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation

AU - He, Ji Huan

AU - Skrzypacz, Piotr Sebastian

AU - Zhang, Yanni

AU - Pang, Jing

PY - 2020

Y1 - 2020

N2 - A way to obtain approximate periodic solutions to nonlinear oscillators arising in a microelectromechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency–amplitude relationship is derived by adopting He′s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.

AB - A way to obtain approximate periodic solutions to nonlinear oscillators arising in a microelectromechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency–amplitude relationship is derived by adopting He′s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.

KW - homotopy perturbation method

KW - magnetostatic excitation

KW - MEMS

KW - nonlinear oscillator

KW - periodic solution

KW - pull-in instability

UR - https://www.scopus.com/pages/publications/85096876199

UR - https://www.scopus.com/pages/publications/85096876199#tab=citedBy

U2 - 10.1002/mma.7018

DO - 10.1002/mma.7018

M3 - Article

AN - SCOPUS:85096876199

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation

Abstract

Keywords

ASJC Scopus subject areas

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