Free vibration analysis of sandwich graphene-reinforced nanocomposite truncated conical shells with auxetic honeycomb core
The Journal of Strain Analysis for Engineering Design,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Jan. 30, 2025
In
this
research,
the
free
vibrations
of
a
truncated
conical
sandwich
shell
with
re-entrant
auxetic
core
and
polymeric
nanocomposite
face
sheets
reinforced
graphene
nanoplatelets
(GNPs)
are
investigated.
This
study
explores,
for
first
time,
influence
GNP
distribution
patterns,
honeycomb
geometry,
parameters
on
natural
frequencies
shells.
A
first-order
shear
deformation
theory
(FSDT)
is
applied
to
enhance
accuracy
results,
especially
thick
The
mechanical
properties
calculated
using
rule
mixtures
Halpin-Tsai
model.
governing
equations
boundary
conditions
derived
Hamilton’s
principle.
Exact
solutions
in
circumferential
direction
obtained
harmonic
trigonometric
functions,
while
differential
quadrature
method
(DQM)
employed
solving
along
shell.
After
verifying
convergence
proposed
analysis,
effects
various
factors
examined,
including
geometric
characteristics
core,
mass
fraction
pattern
GNPs,
conditions.
results
show
that
increasing
side
thickness
cells
decreases
frequencies.
However,
core’s
overall
relative
can
either
increase
or
decrease
frequencies,
depending
vibration
mode.
Additionally,
distributing
GNPs
near
inner
outer
surfaces
yields
highest
due
enhanced
flexural
stiffness.
provides
valuable
insights
designing
advanced
structures
optimized
performance,
applicable
aerospace,
automotive,
civil
engineering
industries.
Language: Английский
Dynamic analysis of viscoelastic functionally graded nanoplate
Mechanics Based Design of Structures and Machines,
Journal Year:
2025,
Volume and Issue:
unknown, P. 1 - 25
Published: Jan. 11, 2025
In
this
article,
the
dynamic
behavior
of
nanoplates
under
time-dependent
load
is
investigated,
focusing
on
functionally
graded
viscoelastic
materials
and
nanoscale
effects.
Eringen's
nonlocal
elasticity
theory
utilized
to
examine
mechanical
response
nanoplate.
Hamilton's
principle
derive
equations
motion,
taking
into
account
both
kinetic
potential
energy
aspects.
The
obtained
complex
partial
differential
are
then
solved
employing
Navier
method
provides
an
efficient
way
obtain
analytical
solutions.
study
initially
performed
a
free
vibration
analysis
for
nanoplate,
comparing
results
with
those
available
in
literature
validate
developed
method.
Following
validation,
parametric
was
conducted
influence
parameter,
which
accounts
effects,
power
law
exponent
governing
material
gradation
Finally,
as
original
contribution
study,
damped
forced
carried
out
within
scope
investigating
effects
exponents,
parameters,
various
geometric
properties
nanoplates'
displacement-time
relationship
maximum
displacements.
Language: Английский
A comprehensive study on vibration and loss characteristics of MR doubly curved sandwich panels with CNT-reinforced FGP face sheets
Archives of Civil and Mechanical Engineering,
Journal Year:
2025,
Volume and Issue:
25(3)
Published: March 31, 2025
Language: Английский
Size‐dependent buckling analysis of functionally graded nanoplate coupled with piezoelectric layers resting on orthotropic foundation based on surface piezo‐elasticity theory
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Oct. 25, 2024
Abstract
In
this
study,
a
refined
plate
theory
by
considering
stretching
effects
extended
to
investigation
of
quasi‐3D
size‐dependent
buckling
analysis
functionally
graded
simply
supported
nanoplate
integrated
with
piezoelectric
face‐sheets
resting
on
orthotropic
foundation
taking
into
account
the
surface
effects.
The
power
law
is
used
calculate
material
properties
in
core
which
non‐homogeneous
are
continuously
changing
along
thickness.
Due
consideration
materials
and
due
asymmetry
distribution
core,
middle
plane
neutral
do
not
coincide.
Hence,
consider
reference
plane,
concept
considered.
kinematics
formulated
nonlocal
higher
order
shear
deformation
based
strain
gradient
theory.
Additionally,
effect
modeled
piezo‐elasticity
To
check
accuracy
efficiency
current
model,
comprehensive
validation
comparative
study
has
been
conducted
results
obtained
found
previous
literature.
Finally,
investigate
various
parameters,
including
different
foundations,
residual
stress,
effects,
effect,
surface,
aspect
ratio,
thickness
nanlocal
parameter,
length
scale
index,
initial
voltage,
examined
critical
load
details.
It
expected
that
should
be
utilized
designing
micro/nano‐electro‐mechanical
systems
components
smart
nanostructures.
Language: Английский