Dynamic analysis of straight stepped microbeams

Nouha Alcheikh; Hassen M. Ouakad; Mohammad I. Younis

doi:10.1016/j.ijnonlinmec.2020.103639

Dynamic analysis of straight stepped microbeams

Nouha Alcheikh, Hassen M. Ouakad, Mohammad I. Younis

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

6 Scopus citations

Abstract

This works aims to investigate the dynamics of Micro-electro-mechanical systems (MEMS) straight multi-stepped micro-beams. An analytical model is presented based on the Euler–Bernoulli beam theory and the Galerkin discretization. The effect of various parameters on the natural frequencies of micro-beams is examined, including the effects of varying the geometry (number of steps and their ratios), the axial force (including those from electrothermal actuation), and the nonlinear electrostatic forces. The analytical results are validated and compared with the simulation results of a Multiphysics Finite-Element (FE) model. Good agreement is found among all the results. The variations of the pull-in and buckling instabilities due to the various parameters are also reported. The results highlight the capability of both passive (geometry) and active (electrostatic and electrothermal/axial) methods to tune the natural frequencies of the structures, which can be useful in applications, such as tunable filters, switches, as well as for creating/avoiding internal resonance and energy exchanges among the various modes.

Original language	English (US)
Pages (from-to)	103639
Journal	International Journal of Non-Linear Mechanics
Volume	128
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2020.103639
State	Published - Nov 13 2020

Bibliographical note

KAUST Repository Item: Exported on 2021-11-21
Acknowledgements: This research has been supported through King Abdullah University of Science and Technology (KAUST) fund, Kingdom of Saudi Arabia. All authors approved the version of the manuscript to be published.

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijnonlinmec.2020.103639

Cite this

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title = "Dynamic analysis of straight stepped microbeams",

abstract = "This works aims to investigate the dynamics of Micro-electro-mechanical systems (MEMS) straight multi-stepped micro-beams. An analytical model is presented based on the Euler–Bernoulli beam theory and the Galerkin discretization. The effect of various parameters on the natural frequencies of micro-beams is examined, including the effects of varying the geometry (number of steps and their ratios), the axial force (including those from electrothermal actuation), and the nonlinear electrostatic forces. The analytical results are validated and compared with the simulation results of a Multiphysics Finite-Element (FE) model. Good agreement is found among all the results. The variations of the pull-in and buckling instabilities due to the various parameters are also reported. The results highlight the capability of both passive (geometry) and active (electrostatic and electrothermal/axial) methods to tune the natural frequencies of the structures, which can be useful in applications, such as tunable filters, switches, as well as for creating/avoiding internal resonance and energy exchanges among the various modes.",

author = "Nouha Alcheikh and Ouakad, {Hassen M.} and Younis, {Mohammad I.}",

note = "KAUST Repository Item: Exported on 2021-11-21 Acknowledgements: This research has been supported through King Abdullah University of Science and Technology (KAUST) fund, Kingdom of Saudi Arabia. All authors approved the version of the manuscript to be published.",

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doi = "10.1016/j.ijnonlinmec.2020.103639",

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AU - Ouakad, Hassen M.

AU - Younis, Mohammad I.

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PY - 2020/11/13

Y1 - 2020/11/13

N2 - This works aims to investigate the dynamics of Micro-electro-mechanical systems (MEMS) straight multi-stepped micro-beams. An analytical model is presented based on the Euler–Bernoulli beam theory and the Galerkin discretization. The effect of various parameters on the natural frequencies of micro-beams is examined, including the effects of varying the geometry (number of steps and their ratios), the axial force (including those from electrothermal actuation), and the nonlinear electrostatic forces. The analytical results are validated and compared with the simulation results of a Multiphysics Finite-Element (FE) model. Good agreement is found among all the results. The variations of the pull-in and buckling instabilities due to the various parameters are also reported. The results highlight the capability of both passive (geometry) and active (electrostatic and electrothermal/axial) methods to tune the natural frequencies of the structures, which can be useful in applications, such as tunable filters, switches, as well as for creating/avoiding internal resonance and energy exchanges among the various modes.

AB - This works aims to investigate the dynamics of Micro-electro-mechanical systems (MEMS) straight multi-stepped micro-beams. An analytical model is presented based on the Euler–Bernoulli beam theory and the Galerkin discretization. The effect of various parameters on the natural frequencies of micro-beams is examined, including the effects of varying the geometry (number of steps and their ratios), the axial force (including those from electrothermal actuation), and the nonlinear electrostatic forces. The analytical results are validated and compared with the simulation results of a Multiphysics Finite-Element (FE) model. Good agreement is found among all the results. The variations of the pull-in and buckling instabilities due to the various parameters are also reported. The results highlight the capability of both passive (geometry) and active (electrostatic and electrothermal/axial) methods to tune the natural frequencies of the structures, which can be useful in applications, such as tunable filters, switches, as well as for creating/avoiding internal resonance and energy exchanges among the various modes.

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

Dynamic analysis of straight stepped microbeams

Abstract

Bibliographical note

ASJC Scopus subject areas

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