Complex motion characteristics of three-layered Timoshenko microarches

Mergen H. Ghayesh, Hamed Farokhi, Alireza Gholipour, Shahid Hussain

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Numerical modelling and simulations are carried out on the nonlinear size-dependent motion of three-layered Timoshenko microarches. At the first step, the theoretical model of the three-layered microsystem is obtained based on an energy method. The second step involves the numerical simulations on the linear part of the dynamical model of the system in order to examine the possibility of internal energy transfer and modal interactions in the system dynamics. The third step is to analyse the nonlinear motion characteristics of the cases with internal energy transfer via constructing frequency–responses and force–responses. The size effects are modelled via use of the modified couple stress theory. Hamilton’s principle is used for the dynamic energy balance. The geometric imperfection is included in the model by an initial deflection in the transverse direction. The theoretical models developed for all the longitudinal, transverse, and rotational motions involve all the inertial terms. The numerical simulations are performed via a continuation method in conjunction with a direct time-integration technique for the nonlinear analysis and an eigenvalue extraction method for the linear analysis. The main aim is to analyse the level and mechanism on which the energy transfer occurs; it is also examined that how the energy transfer changes the resonant response of the microsystem and if these changes cause drastic influences.

Original languageEnglish
Pages (from-to)3731-3744
Number of pages14
JournalMicrosystem Technologies
Volume23
Issue number8
DOIs
Publication statusPublished - 1 Aug 2017
Externally publishedYes

Fingerprint

Energy transfer
energy transfer
Microsystems
internal energy
energy methods
simulation
Computer simulation
Nonlinear analysis
Energy balance
deflection
Dynamical systems
eigenvalues
Defects
causes
defects
interactions
energy

Cite this

Ghayesh, Mergen H. ; Farokhi, Hamed ; Gholipour, Alireza ; Hussain, Shahid. / Complex motion characteristics of three-layered Timoshenko microarches. In: Microsystem Technologies. 2017 ; Vol. 23, No. 8. pp. 3731-3744.
@article{5985b5f643584766845f20286ac5f3ee,
title = "Complex motion characteristics of three-layered Timoshenko microarches",
abstract = "Numerical modelling and simulations are carried out on the nonlinear size-dependent motion of three-layered Timoshenko microarches. At the first step, the theoretical model of the three-layered microsystem is obtained based on an energy method. The second step involves the numerical simulations on the linear part of the dynamical model of the system in order to examine the possibility of internal energy transfer and modal interactions in the system dynamics. The third step is to analyse the nonlinear motion characteristics of the cases with internal energy transfer via constructing frequency–responses and force–responses. The size effects are modelled via use of the modified couple stress theory. Hamilton’s principle is used for the dynamic energy balance. The geometric imperfection is included in the model by an initial deflection in the transverse direction. The theoretical models developed for all the longitudinal, transverse, and rotational motions involve all the inertial terms. The numerical simulations are performed via a continuation method in conjunction with a direct time-integration technique for the nonlinear analysis and an eigenvalue extraction method for the linear analysis. The main aim is to analyse the level and mechanism on which the energy transfer occurs; it is also examined that how the energy transfer changes the resonant response of the microsystem and if these changes cause drastic influences.",
keywords = "Timoshenko microarches, Complex motion characteristics, nonlinear size-dependent motion",
author = "Ghayesh, {Mergen H.} and Hamed Farokhi and Alireza Gholipour and Shahid Hussain",
year = "2017",
month = "8",
day = "1",
doi = "10.1007/s00542-016-3222-7",
language = "English",
volume = "23",
pages = "3731--3744",
journal = "Microsystem Technologies",
issn = "0946-7076",
publisher = "Springer Verlag",
number = "8",

}

Complex motion characteristics of three-layered Timoshenko microarches. / Ghayesh, Mergen H.; Farokhi, Hamed; Gholipour, Alireza; Hussain, Shahid.

In: Microsystem Technologies, Vol. 23, No. 8, 01.08.2017, p. 3731-3744.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Complex motion characteristics of three-layered Timoshenko microarches

AU - Ghayesh, Mergen H.

AU - Farokhi, Hamed

AU - Gholipour, Alireza

AU - Hussain, Shahid

PY - 2017/8/1

Y1 - 2017/8/1

N2 - Numerical modelling and simulations are carried out on the nonlinear size-dependent motion of three-layered Timoshenko microarches. At the first step, the theoretical model of the three-layered microsystem is obtained based on an energy method. The second step involves the numerical simulations on the linear part of the dynamical model of the system in order to examine the possibility of internal energy transfer and modal interactions in the system dynamics. The third step is to analyse the nonlinear motion characteristics of the cases with internal energy transfer via constructing frequency–responses and force–responses. The size effects are modelled via use of the modified couple stress theory. Hamilton’s principle is used for the dynamic energy balance. The geometric imperfection is included in the model by an initial deflection in the transverse direction. The theoretical models developed for all the longitudinal, transverse, and rotational motions involve all the inertial terms. The numerical simulations are performed via a continuation method in conjunction with a direct time-integration technique for the nonlinear analysis and an eigenvalue extraction method for the linear analysis. The main aim is to analyse the level and mechanism on which the energy transfer occurs; it is also examined that how the energy transfer changes the resonant response of the microsystem and if these changes cause drastic influences.

AB - Numerical modelling and simulations are carried out on the nonlinear size-dependent motion of three-layered Timoshenko microarches. At the first step, the theoretical model of the three-layered microsystem is obtained based on an energy method. The second step involves the numerical simulations on the linear part of the dynamical model of the system in order to examine the possibility of internal energy transfer and modal interactions in the system dynamics. The third step is to analyse the nonlinear motion characteristics of the cases with internal energy transfer via constructing frequency–responses and force–responses. The size effects are modelled via use of the modified couple stress theory. Hamilton’s principle is used for the dynamic energy balance. The geometric imperfection is included in the model by an initial deflection in the transverse direction. The theoretical models developed for all the longitudinal, transverse, and rotational motions involve all the inertial terms. The numerical simulations are performed via a continuation method in conjunction with a direct time-integration technique for the nonlinear analysis and an eigenvalue extraction method for the linear analysis. The main aim is to analyse the level and mechanism on which the energy transfer occurs; it is also examined that how the energy transfer changes the resonant response of the microsystem and if these changes cause drastic influences.

KW - Timoshenko microarches

KW - Complex motion characteristics

KW - nonlinear size-dependent motion

UR - http://www.scopus.com/inward/record.url?scp=85001121757&partnerID=8YFLogxK

U2 - 10.1007/s00542-016-3222-7

DO - 10.1007/s00542-016-3222-7

M3 - Article

VL - 23

SP - 3731

EP - 3744

JO - Microsystem Technologies

JF - Microsystem Technologies

SN - 0946-7076

IS - 8

ER -