Mechanics Based Design of Structures and Machines,
Год журнала:
2024,
Номер
unknown, С. 1 - 29
Опубликована: Окт. 7, 2024
This
paper
introduces
a
novel
hybrid
function,
synthesizing
trigonometric
and
Hermitian
polynomials,
to
analyze
the
structural
responses
of
bi-directional
functionally
graded
porous
(2D-FGP)
beams.
The
displacement
field
beam
is
based
on
higher-order
shear
deformation
theory.
A
power-law
relation
governs
material
variation
along
x-
z-directions,
with
porosity
manifesting
in
three
distinct
distributions.
governing
equations
are
deduced
through
application
Lagrange's
equation.
proposed
function
developed
delineate
field.
deflections,
stresses,
buckling
loads,
natural
frequencies
2D-FGP
beams
computed
for
diverse
gradation
exponents
boundary
conditions,
type,
coefficient,
slenderness
ratio.
comparative
assessment
finite
element
method
results
indicates
that
findings
agree
available
data.
It
substantiates
accuracy
efficiency
methodology.
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.
Results in Engineering,
Год журнала:
2023,
Номер
20, С. 101532 - 101532
Опубликована: Окт. 20, 2023
This
study
comprehensively
investigates
the
natural
frequency
analysis
of
a
shear-deformable
functionally
graded
porous
plate
with
cutouts,
utilizing
an
FE-based
multilayered
FGM
model.
Analyzing
frequencies
is
vital
to
prevent
catastrophic
failure
in
plates,
particularly
cooling
plates.
Cutouts
plates
enhance
heat
dissipation,
improve
airflow
or
fluid
contact,
reduce
weight,
customize
battery
layouts,
optimize
structural
integrity,
simplify
installation,
and
enable
precise
thermal
management
critical
areas.
The
present
employs
model
that
considers
three
distinct
porosity
distributions
(even,
uneven,
sinusoidal)
incorporates
power
law
distribution
based
on
modified
rule
mixture
derive
effective
material
properties
plate.
Furthermore,
this
investigation
explores
influences
variables
such
as
volume
fraction
index,
thickness
ratio,
distribution,
index
encompassing
both
conventional
unconventional
boundary
conditions.
extensive
examination
elucidates
collective
impact
these
vibrational
behavior
featuring
cutouts.
These
parameters
significantly
vibration
results
affirm
efficacy
presented
analyzing
intricate
structures.
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.
