AIAA Journal,
Год журнала:
2024,
Номер
63(3), С. 1091 - 1105
Опубликована: Ноя. 13, 2024
For
the
first
time,
combined
influences
of
axial
compressive
load,
porosity,
geometric
imperfection,
elastic
edge
restraint,
and
elevated
temperature
on
nonlinear
free
vibration
functionally
graded
material
(FGM)
cylindrical
panels
are
investigated
in
this
paper.
Unlike
previous
studies,
structural
model
considered
paper
includes
practical
situations
conditions
arising
design
process
application
FGM
panels.
The
properties
constituents
assumed
to
be
temperature-dependent,
effective
porous
determined
using
a
modified
rule
mixture.
Governing
equations
terms
deflection
stress
function
established
based
first-order
shear
deformation
theory,
taking
into
account
von
Kármán–Donnell
nonlinearity
initial
imperfection.
Analytical
solutions
satisfy
simply
supported
boundary
conditions,
Galerkin
method
is
applied
derive
time
differential
equation
containing
both
quadratic
cubic
terms.
This
numerically
integrated
employing
fourth-order
Runge–Kutta
scheme
determine
frequencies
vibration.
Parametric
studies
carried
out
assess
numerous
effects
linear
study
reveals
that
natural
strongly
decreased
frequency
more
significant
due
loads.
International Journal of Structural Stability and Dynamics,
Год журнала:
2023,
Номер
24(11)
Опубликована: Авг. 20, 2023
This
paper
investigates
the
free
vibration
of
functionally
graded
material
(FGM)
sandwich
plates
supported
by
different
boundary
conditions
and
influenced
a
three-parameter
viscoelastic
foundation
hygro-thermal
changes.
Three
types
FGM
are
studied
discussed,
in
which
layers
vary
according
to
power
law
rule
consist
ceramic
metal
materials.
An
efficient
simple
four-variable
integral
higher-order
shear
deformation
theory
(HSDT)
is
employed
model
analytical
solution
considered
problem.
Hamilton
principle
implemented
obtain
plates’
governing
equations
derive
eigenvalue
equation
for
study.
The
verified
comparing
numerical
results
with
previous
studies
on
exponentially
plates.
New
presented
this
showing
influences
conditions,
changes,
parameters,
modes,
exponents,
geometric
dimensions.
Computation,
Год журнала:
2024,
Номер
12(4), С. 65 - 65
Опубликована: Март 27, 2024
This
study
conducts
buckling
and
free
vibration
analyses
of
multi-directional
functionally
graded
sandwich
plates
subjected
to
various
boundary
conditions.
Two
scenarios
are
considered:
a
(FG)
skin
with
homogeneous
hard
core,
an
FG
soft
core.
Utilizing
refined
plate
models,
which
incorporate
parabolic
distribution
transverse
shear
stresses
while
ensuring
zero
on
both
the
upper
lower
surfaces,
equations
motion
derived
using
Hamilton’s
principle.
Analytical
solutions
for
under
diverse
conditions
developed
presented.
The
obtained
results
validated
against
existing
literature
analyses.
composition
metal–ceramic-based
materials
varies
longitudinally
transversely,
following
power
law.
Various
types
considered,
accounting
symmetry
layer
thicknesses.
investigation
explores
influence
several
parameters
behaviors.
Mechanical Systems and Signal Processing,
Год журнала:
2024,
Номер
211, С. 111239 - 111239
Опубликована: Фев. 19, 2024
This
study
conducts
an
extensive
theoretical-experimental
investigation
into
the
nonlinear
dynamical
response
of
a
base-excited
initially
curved
panel
clamped
at
two
ends
via
bolted
joints.
A
new
distributed
joint
stiffness
model
is
proposed
capable
exhibiting
interconnected
effects
various
states
contact
interface.
More
specifically,
allows
control
softening
behaviour
through
controlling
displacement
threshold
for
micro-slip
and
stick
states,
as
well
rate
which
region
develops.
Due
to
inclined
angle
clamping
supports,
slightly
in
its
fastened
arrangement.
Hence,
modelled
shallow
shell
using
Donnell's
theory,
taking
account
von
Kármán
strain
nonlinearities,
while
retaining
all
in-plane
out-of-plane
displacements.
Structural
damping
considered
use
Kelvin–Voigt
model.
Taking
work
model,
partial
differential
equations
governing
motions
are
derived
generalised
Hamilton's
principle,
then
discretised
reduced-order
two-dimensional
Galerkin
modal
decomposition
approach.
For
experimental
part,
nominally
identical
panels
several
tests
conducted
base
excitation
primary
resonance
backbone
curves
obtained
directly
Phase
Lock
Loop
method.
Extensive
comparisons
between
results
theoretical
predictions
both
time
histories
midpoint
velocity
displacement.
It
shown
that
very
good
agreement
with
results,
being
predicting
significant
variability
results.
International journal of mechanical system dynamics,
Год журнала:
2025,
Номер
unknown
Опубликована: Май 25, 2025
ABSTRACT
This
article
investigates
the
nonlinear
vibration
behavior
of
porous
multidirectional
piezoelectric
functionally
graded
nonuniform
(PFGN)
plates
resting
on
orthotropic
variable
elastic
foundations
and
subjected
to
hygrothermal
loading.
The
sigmoidal
law
is
employed
define
gradation
properties,
incorporating
porosity
along
both
axial
thickness
directions.
governing
equations
for
PFGN
plate
are
derived
using
modified
first‐order
shear
deformation
theory
(FSDT)
with
von
Kármán
strain
Hamilton's
principle.
A
higher‐order
finite
element
(FE)
approach,
combined
a
Newton‐Raphson
method,
utilized
solve
resulting
equations.
study
reveals
that
significantly
influence
compared
conventional
under
Additionally,
effects
various
parameters
such
as
ratio,
tapered
material
exponent,
boundary
conditions,
distribution,
electrical
loading,
temperature
variation,
moisture
change
comprehensively
analyzed.
results
this
have
direct
applications
in
energy
harvesting
structural
health
monitoring,
offering
novel
approach
designing
optimizing
smart
materials
engineering
systems
operating
thermoelectrical
conditions.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
104(7)
Опубликована: Май 2, 2024
Abstract
In
this
work,
an
attention
is
paid
to
the
prediction
of
torsional
vibration
frequencies
functionally
graded
porous
nanotubes
based
on
Lam
strain
gradient
elasticity
theory.
The
are
formed
nanomaterials
that
vary
in
radial
direction.
This
study
also
aims
obtain
analytical
solution
model
presented
by
for
response,
a
simple
manner,
different
rigid
or
restrained
boundary
conditions.
torsion
angle
nanotube
defined
infinite
Fourier
series.
Then,
Stokes’
transformation
applied
force
conditions
desired
state.
An
eigenvalue
problem
established
with
help
two
systems
equations
obtained.
problem,
which
includes
deformable
springs
at
both
ends
nanotube,
appears
as
general
can
find
frequencies.
It
shown
vibrational
responses
be
significantly
influenced
through‐radius
gradings
material,
material
length
scale
parameters
and
consequently
predicted
giving
proper
values
spring
parameters.