Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
52(11), P. 9122 - 9143
Published: April 10, 2024
Flexoelectricity
indicates
a
unique
characteristic
of
insulators
and
dielectric
materials
that
results
in
electrical
polarization
induction
response
to
the
non-uniform
strain
gradient.
The
impact
this
property
is
bolder
on
microscale
nanoscale
rather
than
macroscale.
This
article
conducted
derive
governing
equations
motion
for
flexoelectric-multilayer
structure
evaluate
its
vibrational
behavior
various
variable
variations.
model
includes
functionally
graded
(FG)
porous
core
which
confined
between
two
flexoelectricity-based
face
sheets
at
both
sides
Vlasov
type
foundation.
To
gain
equations,
new
power
law
material
beside
Hamilton's
principle
(HP)
modified
couple
stress
theory
(MCST)
implemented.
Capturing
effects
length
scale
parameter,
different
materials,
aspect
thickness
ratios,
porosity
index,
foundation
parameter
boundary
conditions
(B.C.s)
normalized
natural
frequency
(NNF)
such
multilayer
based
novel
FG
formulation
serve
as
main
novelty
article.
According
results,
it
revealed
lateral
ratio
enhancement
causes
NNF
stiffness
reduction
model.
Furthermore,
among
all
considered
B.C.s,
simply
support
(SSSS)
clamped
(CCCC)
refer
lowest
highest
respectively.
content
recent
serves
good
source
provide
better
understanding
high
stiffness-to-weight
structures
Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 18
Published: June 14, 2024
A
time-periodic
axial
force
acting
on
a
continuous
structure
can
be
destabilized
by
parametric
excitation.
Moreover,
it
is
capable
of
increasing
the
equivalent
damping
and
shortening
transient
vibrations.
In
this
work,
concept
extended,
dynamic
stability
Mindlin-Reissner
plate
analyzed.
The
FE
formulation
for
four-node
element
derived
employing
variational
approach
including
action
an
force.
system
evaluated
both
numerically
analytically,
using
Floquet
theory
first-order
approximation
based
averaging
method,
respectively.
influence
length,
thickness,
aspect
ratio
highlighted.
It
demonstrated
that
instability
tongue
at
combination
resonance
frequency
summation
type
shifted
toward
higher
amplitudes
width
decreasing
length.
Alternatively,
in
vicinity
difference
shows
antiresonance
which
maximized
exactly
opposite
tuning
design.
This
guideline
important
when
design
under
harmonic
considered.
Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
52(11), P. 8610 - 8638
Published: March 9, 2024
In
this
study,
the
thermo-mechanical
dynamic
buckling
analysis
of
two-directional
functionally
graded
porous
(2D-FGP)
shallow
microshells
resting
on
elastic
foundations
with
arbitrary
boundary
conditions
is
performed
using
isogeometric
approach.
The
approach
takes
advantage
non-uniform
rational
B-spline
basic
functions
to
exactly
represent
structure
geometry
models
and
attainment
higher
order
approximation
conditions.
characteristics
material
vary
in
both
thickness
axial
x
orientation.
Especially,
a
new
point
length-scale
parameter
microshell
analyzed
as
function
spatial
coordinates
gradient
parameters.
Using
Hamilton's
principle,
modified
couple
stress
theory,
Kirchhoff-Love's
shell
governing
equations
2D-FGP
lying
Pasternak
medium
are
obtained.
A
computer
program
that
employs
an
method
analyze
static
doubly
curved
various
numerical
results
for
thin
cylindrical,
spherical,
hyperbolic
paraboloidal
planforms,
such
rectangular
circular,
presented.
Several
special
cases
used
demonstrate
accuracy
efficacy
developed
model
by
comparing
obtained
proposed
formulations
other
published
data.
addition,
effects
certain
parameters,
length
scale
power-law
indexes,
thickness-to-sides
ratio,
radius
response
double
curvature
explored
depth.
Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
52(11), P. 9526 - 9561
Published: May 17, 2024
The
present
article
deals
with
the
application
of
refined
plate
theory
and
surface
effects
to
investigate
nonlocal
free
vibration
behavior
a
functionally
graded
nano-plate
composed
two
piezoelectric
face
sheets
resting
on
Orthotropic
Visco-Pasternak.
Surface
are
applied
using
piezoelectricity
stress-strain
gradient
theories.
effects,
quasi-3D
higher-order
theory,
neutral
position
in-plane
mechanical
preloads
considered
study
sandwich
core
in
this
for
first
time,
simultaneously.
size-dependent
governing
equations
derived
based
2D
3D
Hamilton's
principle
different
boundary
conditions
studied
investigated
according
semi-analytical
solution
method.
Comparing
results
models,
local
non-local
also,
examining
foundations
simultaneously
can
be
said
as
one
innovations
current
research.
Finally,
parametric
is
presented
examine
parameters
such
small
scale
parameters,
preloads,
thickness
stretching
position,
non-homogeneous
coefficient,
voltage,
foundation
constants,
conditions,
geometrical
ratios
theories
details.
It
indicated
that
inclusion
leads
significant
influence
three-layered
nano-scale
plates.
may
provide
useful
guidance
design
development
next
generation
nano-devices.
