Axioms,
Journal Year:
2024,
Volume and Issue:
13(9), P. 596 - 596
Published: Aug. 31, 2024
This
paper
examines
the
stability
behavior
of
nonlinear
dynamical
motion
a
vibrating
cart
with
two
degrees
freedom
(DOFs).
Lagrange’s
equations
are
employed
to
establish
mechanical
regulating
system
examined
motion.
The
proposed
approximate
solutions
(ASs)
this
estimated
through
use
multiple-scales
method
(MSM).
These
considered
novel
as
MSM
is
being
applied
new
model.
Secular
terms
have
been
eliminated
meet
solvability
criteria,
and
every
instance
resonance
that
arises
categorized,
where
them
concurrently.
Therefore,
modulation
developed
based
on
representations
unknown
complex
function
in
polar
form.
for
steady
state
calculated
using
corresponding
fixed
points.
achieved
displayed
graphically
illustrate
impact
manipulating
system’s
parameters
compared
numerical
(NSs)
original
equations.
comparison
shows
great
deal
consistency
solution,
which
indicates
accuracy
method.
criteria
Routh–Hurwitz
assess
instability
zones.
value
model
exhibited
by
its
wide
range
applications
involving
ship
motion,
swaying
architecture,
transportation
infrastructure,
rotor
dynamics.
Mechanics of Advanced Materials and Structures,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 19
Published: March 12, 2024
One
of
the
best
effective
nondestructive
methods
to
predict
buckling
load
imperfection
sensitive
thin-walled
structures
is
vibration
correlation
technique
(VCT).
Although
this
can
determine
for
conventional
without
reaching
instability
point,
it
still
under
development
new
and
materials.
Moreover,
few
studies
have
addressed
analytical
aspects
VCT
as
revisited
in
literature
review.
This
paper
presents
a
novel
formulation
numerical
investigation
functionally
graded
porous
nanocomposite
cylindrical
shells
reinforced
with
graphene
platelets
(FGPNCS-R-GPLs)
uniaxial
load.
In
section,
governing
equations
an
axially
loaded
FGPNCS-R-GPLs
are
derived
using
modified
Halpin–Tsai
micromechanics
approach,
FSDT,
Rayleigh-Ritz
method.
linear
analysis,
free
nonlinear
analysis
axial
load,
performed.
After
validating
models,
obtained
its
result
compared
by
results
more
reliability
credibility.
The
demonstrate
that
maximum
difference
between
predicted
approach
corresponding
loads
less
than
3.5%.
Furthermore,
proposed
provided
good
estimation
especially
when
applied
greater
73.8%
Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Jan. 19, 2025
The
investigation
of
graphene-reinforced
porous
composites
has
garnered
significant
interest
due
to
their
exceptional
mechanical,
thermal,
and
electrical
properties,
positioning
them
as
promising
materials
for
advanced
structural
applications.
To
fully
harness
the
potential
these
materials,
numerical
modeling
becomes
essential
understanding
behavior
optimizing
performance
specific
engineering
In
present
study,
non-linear
bending
response
functionally
graded
(FG)
circular
sandwich
plates
reinforced
with
graphene
platelets
is
systematically
analyzed
under
varying
boundary
conditions.
are
subjected
a
uniform
transverse
load
thermal
gradient,
distributions
porosity
along
thickness.
effective
material
including
Poisson’s
ratio,
computed
using
Gaussian
random
field
scheme
in
conjunction
Halpin-Tsai
micromechanical
model.
governing
equations
motion
derived
from
Von
Kármán’s
relations,
utilizing
both
first-order
shear
deformation
theory
(FSDT)
modified
higher-order
(MHSDT).
These
subsequently
solved
dynamic
relaxation
(DR)
coupled
finite
difference
methods.
validate
results,
comparisons
existing
literature
element
method
(FEM)
conducted,
ensuring
accuracy
reliability
obtained
solutions.
A
comprehensive
parametric
study
performed
investigate
influence
various
factors,
conditions,
distribution
patterns,
variations,
thickness-to-radius
on
composite
plates.
