Fast identification of the pull-in voltage of a nano/micro-electromechanical system

He, Ji‐Huan; Qie, Na; He, Chun‐Hui; Gepreel, Khaled A.

doi:10.1177/14613484211068252

Cited by 29 publications

(9 citation statements)

References 31 publications

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“…Due to these unprecedented advantages, the formulation caught immediate attention after publication due to its extremely simplicity and remarkable reliability. It has been successfully applied to Kundu-Mukherjee-Naskar oscillator [27], nonlinear vibration of embedded carbon nanotube [28], fractal vibration systems [29,30], packaging systems [31] and MEMS oscillators [32]. It has been hailed as an unprecedented success.…”

Section: Introductionmentioning

confidence: 99%

Simplified Hamiltonian-Based Frequency-Amplitude Formulation for Nonlinear Vibration Systems

2022

FU Mech Eng

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The Hamiltonian-based frequency formulation has been hailed as an unprecedented success for it gives a straightforward insight into a complex nonlinear vibration system with simple calculation. This paper gives a systematical analysis of the formulation, and two simplified formulations are suggested. The cubic-quintic Duffing oscillator is used as an example to show extremely simple calculation and remarkable accuracy. It can be used as a paradigm for many other applications, and the one-step solving process has cleaned up the road of the nonlinear vibration theory.

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Section: Introductionmentioning

confidence: 99%

Simplified Hamiltonian-Based Frequency-Amplitude Formulation for Nonlinear Vibration Systems

2022

FU Mech Eng

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“…Wang’s (2020) fractal variational formulation is an approximate one, and a genuine one is obtained by the semi-inverse method. This paper gives an energy approach to fractal N/MEMS systems and can be extended to other fractal N/MEMS systems (Tian and He, 2021; He et al , 2022b) and N/MEMS oscillators with fractional derivatives (Mohammadi et al , 2021; Veeresha et al , 2020; Alshabanat et al , 2020).…”

Section: Discussionmentioning

confidence: 99%

“…This is a generalized fractal Duffing oscillator with cubic-quintic-septimal nonlinearities (He et al, 2021b(He et al, , 2021aShen and El-Dib, 2021;He et al, 2022aHe et al, , 2022b.…”

Section: Variational Principlementioning

confidence: 99%

“…This is a generalized fractal Duffing oscillator with cubic-quintic-septimal nonlinearities (He et al , 2021b, 2021a; Wang and Wang, 2021; Shen and El-Dib, 2021; He et al , 2022a, 2022b). The fractal Duffing oscillator can be applied to three-dimensional printing technology (Zuo, 2021) and can be solved simply by He’s frequency formulation (He, 2019; Feng, 2021; Liu, 2021).…”

Section: Variational Principlementioning

confidence: 99%

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A variational principle for a fractal nano/microelectromechanical (N/MEMS) system

2022

HFF

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Purpose The variational principle views a complex problem in an energy way, it gives good physical understanding of an iteration method, and the variational-based numerical methods always have a conservation scheme with a fast convergent rate. The purpose of this paper is to establish a variational principle for a fractal nano/microelectromechanical (N/MEMS) system. Design/methodology/approach This paper begins with an approximate variational principle in literature for the studied problem, and a genuine variational principle is obtained by the semi-inverse method. Findings The semi-inverse method is a good mathematical tool to the search for a genuine fractal variational formulation for the N/MEMS system. Research limitations/implications The established variational principle can be used for both analytical and numerical analyses of the N/MEMS systems, and it can be extended to some more complex cases. Practical implications The variational principle can be used for variational-based finite element methods and energy-based analytical methods. Originality/value The new and genuine variational principle is obtained. This paper discovers the missing piece of the puzzle for the establishment of a variational principle from governing equations for a complex problem by the semi-inverse method. The new variational theory opens a new direction in fractal MEMS systems.

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“…The critical value is θ_= 0.203632188. 25 The threshold value is called as the pull-in voltage. The pull-in behavior is an inherent property of the MEMS oscillator, which occurs when the voltage is larger than its threshold value.…”

Section: Micro-electromechanical Systemmentioning

confidence: 99%

The analysis for the dynamic pull-in of a micro-electromechanical system

Feng

Niu

2022

Journal of Low Frequency Noise, Vibration and Active Control

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Fast identification of the pull-in voltage of a nano/micro-electromechanical system

Cited by 29 publications

References 31 publications

Simplified Hamiltonian-Based Frequency-Amplitude Formulation for Nonlinear Vibration Systems

Simplified Hamiltonian-Based Frequency-Amplitude Formulation for Nonlinear Vibration Systems

A variational principle for a fractal nano/microelectromechanical (N/MEMS) system

The analysis for the dynamic pull-in of a micro-electromechanical system

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