Resonant responses of three-layered shear-deformable microbeams

Hamid Farokhi, Mergen H. Ghayesh, Alireza Gholipour , Shahid HUSSAIN

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper analyses the coupled resonant motion of three-layered shear-deformable microbeams. On the basis of the modified couple stress theory, while both the rotational and translational motions are considered, the size-dependent potential energy of the three-layered microsystems is developed based on a continuous variation of the displacement field through the thickness and constitutive relations. The kinetic energy is also developed in terms of the continuous displacement field. The works done by the external dynamic load and the viscous damping are obtained in terms of the displacement field and microsystem parameters. A dynamic balance is applied to the works of external force and damping of the three-layered microbeam and its kinetic energy and size-dependent potential energy. The nonlinear continuous models for the longitudinal, transverse, and rotational motions are then reduced via use of a weighted-residual method. Numerical simulations upon the reduced-order models for the translational and rotational motions are performed for the three-layered microbeam via use of Houbolt’s finite difference scheme together with Newton–Raphson method. The sizedependent nonlinear coupled resonant responses of the three-layered microsystem are obtained and presented in the form of frequency–responses and force-responses. The effects of three-layered microsystem parameters such as the thickness and material percentage of each layer on the microsystem motion are examined.
Original languageEnglish
Pages (from-to)2123-2136
Number of pages14
JournalMicrosystem Technologies
Volume24
Issue number5
DOIs
Publication statusPublished - May 2018
Externally publishedYes

Fingerprint

microbeams
Microsystems
shear
translational motion
Potential energy
Kinetic energy
Damping
kinetic energy
potential energy
viscous damping
dynamic loads
Dynamic loads
damping
Computer simulation
simulation

Cite this

Farokhi, Hamid ; Ghayesh, Mergen H. ; Gholipour , Alireza ; HUSSAIN, Shahid. / Resonant responses of three-layered shear-deformable microbeams. In: Microsystem Technologies. 2018 ; Vol. 24, No. 5. pp. 2123-2136.
@article{004005c7bd384e178ac95b71aa6f245b,
title = "Resonant responses of three-layered shear-deformable microbeams",
abstract = "This paper analyses the coupled resonant motion of three-layered shear-deformable microbeams. On the basis of the modified couple stress theory, while both the rotational and translational motions are considered, the size-dependent potential energy of the three-layered microsystems is developed based on a continuous variation of the displacement field through the thickness and constitutive relations. The kinetic energy is also developed in terms of the continuous displacement field. The works done by the external dynamic load and the viscous damping are obtained in terms of the displacement field and microsystem parameters. A dynamic balance is applied to the works of external force and damping of the three-layered microbeam and its kinetic energy and size-dependent potential energy. The nonlinear continuous models for the longitudinal, transverse, and rotational motions are then reduced via use of a weighted-residual method. Numerical simulations upon the reduced-order models for the translational and rotational motions are performed for the three-layered microbeam via use of Houbolt’s finite difference scheme together with Newton–Raphson method. The sizedependent nonlinear coupled resonant responses of the three-layered microsystem are obtained and presented in the form of frequency–responses and force-responses. The effects of three-layered microsystem parameters such as the thickness and material percentage of each layer on the microsystem motion are examined.",
keywords = "resonannce, micorbeams, shear",
author = "Hamid Farokhi and Ghayesh, {Mergen H.} and Alireza Gholipour and Shahid HUSSAIN",
year = "2018",
month = "5",
doi = "10.1007/s00542-018-3850-1",
language = "English",
volume = "24",
pages = "2123--2136",
journal = "Microsystem Technologies",
issn = "0946-7076",
publisher = "Springer Verlag",
number = "5",

}

Resonant responses of three-layered shear-deformable microbeams. / Farokhi, Hamid; Ghayesh, Mergen H.; Gholipour , Alireza; HUSSAIN, Shahid.

In: Microsystem Technologies, Vol. 24, No. 5, 05.2018, p. 2123-2136.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Resonant responses of three-layered shear-deformable microbeams

AU - Farokhi, Hamid

AU - Ghayesh, Mergen H.

AU - Gholipour , Alireza

AU - HUSSAIN, Shahid

PY - 2018/5

Y1 - 2018/5

N2 - This paper analyses the coupled resonant motion of three-layered shear-deformable microbeams. On the basis of the modified couple stress theory, while both the rotational and translational motions are considered, the size-dependent potential energy of the three-layered microsystems is developed based on a continuous variation of the displacement field through the thickness and constitutive relations. The kinetic energy is also developed in terms of the continuous displacement field. The works done by the external dynamic load and the viscous damping are obtained in terms of the displacement field and microsystem parameters. A dynamic balance is applied to the works of external force and damping of the three-layered microbeam and its kinetic energy and size-dependent potential energy. The nonlinear continuous models for the longitudinal, transverse, and rotational motions are then reduced via use of a weighted-residual method. Numerical simulations upon the reduced-order models for the translational and rotational motions are performed for the three-layered microbeam via use of Houbolt’s finite difference scheme together with Newton–Raphson method. The sizedependent nonlinear coupled resonant responses of the three-layered microsystem are obtained and presented in the form of frequency–responses and force-responses. The effects of three-layered microsystem parameters such as the thickness and material percentage of each layer on the microsystem motion are examined.

AB - This paper analyses the coupled resonant motion of three-layered shear-deformable microbeams. On the basis of the modified couple stress theory, while both the rotational and translational motions are considered, the size-dependent potential energy of the three-layered microsystems is developed based on a continuous variation of the displacement field through the thickness and constitutive relations. The kinetic energy is also developed in terms of the continuous displacement field. The works done by the external dynamic load and the viscous damping are obtained in terms of the displacement field and microsystem parameters. A dynamic balance is applied to the works of external force and damping of the three-layered microbeam and its kinetic energy and size-dependent potential energy. The nonlinear continuous models for the longitudinal, transverse, and rotational motions are then reduced via use of a weighted-residual method. Numerical simulations upon the reduced-order models for the translational and rotational motions are performed for the three-layered microbeam via use of Houbolt’s finite difference scheme together with Newton–Raphson method. The sizedependent nonlinear coupled resonant responses of the three-layered microsystem are obtained and presented in the form of frequency–responses and force-responses. The effects of three-layered microsystem parameters such as the thickness and material percentage of each layer on the microsystem motion are examined.

KW - resonannce

KW - micorbeams

KW - shear

UR - https://link.springer.com/article/10.1007%2Fs00542-018-3850-1

U2 - 10.1007/s00542-018-3850-1

DO - 10.1007/s00542-018-3850-1

M3 - Article

VL - 24

SP - 2123

EP - 2136

JO - Microsystem Technologies

JF - Microsystem Technologies

SN - 0946-7076

IS - 5

ER -