Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 27
Published: Oct. 10, 2024
The
present
article
investigates
the
effect
of
circular
and
elliptical
cutouts
on
vibrational
characteristics
porous
sandwich
functionally
graded
material
(SFGM)
plates
with
FGM
core
resting
Pasternak
elastic
foundation.
structural
kinematics
plate
are
formulated
based
nonpolynomial-based
higher-order
shear
deformation
theory
(HSDT).
Geometric
discontinuities
have
been
incorporated
in
terms
SFGM
plates.
structure
is
considered
to
be
comprised
two
homogeneous
face
sheets
a
various
cutout
shapes
sizes.
variation
properties
from
sheet
has
carefully
modeled
using
modified
power
law
distribution.
Further,
C0
continuous
finite
element
formulation
four-noded,
isoparametric
quadrilateral
seven
degrees
freedom
(DOFs)
per
node
employed
accomplish
results.
accuracy
results
demonstrated
through
convergence
validation
studies.
A
comprehensive
study
carried
out
investigate
influence
volume
fraction
index,
even
uneven
porosity
distribution,
cutouts,
as
well
H-elliptical
V-elliptical
type
frequency
parameter
numerical
demonstrate
aforementioned
parameters
significantly
impact
International Journal of Engineering Science,
Journal Year:
2024,
Volume and Issue:
203, P. 104123 - 104123
Published: July 27, 2024
Although
auxetic
metamaterials
exhibit
unique
and
unusual
mechanical
properties,
such
as
a
negative
Poisson's
ratio,
their
mechanics
remains
poorly
understood.
In
this
study,
we
model
graded
beam
fabricated
from
graphene
origami-enabled
investigate
its
dynamics
the
perspective
of
different
shear
deformation
theories.
The
metamaterial
is
composed
multiple
layers
metamaterials,
where
content
origami
varies
through
layered
thickness;
both
property
other
properties
are
varied
in
manner,
which
effectively
be
approximated
via
micromechanical
models.
Euler-Bernoulli,
third-order,
higher-order
deformable
refined
theories
adopted
to
continuous
system.
Following
this,
governing
motion
equations
derived
using
Hamiltonian
principle
then
numerically
solved
weighted
residual
method.
obtained
results
provide
comprehensive
understanding
how
distribution
pattern,
folding
degree,
utilisation
influence
dynamic
behaviour
beam.
International Journal of Engineering Science,
Journal Year:
2024,
Volume and Issue:
198, P. 104056 - 104056
Published: March 12, 2024
This
study
presents
an
original
and
novel
investigation
into
the
mechanics
of
piezo-flexo-magneto-elastic
nanocomposite
doubly-curved
shells
(PFMDCSs)
ability
to
detect
lower
higher
levels
electro-magnetic
fields.
In
this
context,
by
utilizing
first-order
shear
deformation
shell
model,
stresses
strains
are
acquired.
By
imposing
Hamilton's
principle
von
Kármán
approach,
governing
equations
have
been
obtained.
The
intelligent
model
consists
size-dependent
influences,
viz.,
strain
gradients.
will
take
place
via
Mindlin's
gradient
elasticity
theory
subsequent
re-establishing
mathematical
framework
incorporating
concept.
results
in
a
flexoelectric/flexomagnetic
effect.
converse
effect
magnetic
field
on
basis
close
circuit
has
assumed.
developed
bending
transferred
algebraic
ones
substituting
analytical
technique
based
homogeneous
immovable
simple
support
for
four
edges.
problem
solved
according
Newton-Raphson
iteration
scheme,
transverse
deflections
computed.
For
researching
rightness
precision
models
together
with
solution
process,
comparison
is
prepared
finite
element
method
(FEM)
simplified
shells,
good
correlation
observed.
At
last,
examining
several
factors
problem,
conditions
under
which
effects
can
be
noticeable
dominant
sought.
could
serve
as
benchmark
reference
piezoceramic-DCSs,
presented
original.
most
interesting
outcome
research
that
response
structures
entirely
geometry-dependent.
Computation,
Journal Year:
2024,
Volume and Issue:
12(4), P. 65 - 65
Published: March 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.
International journal of mechanical system dynamics,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Dec. 9, 2024
Abstract
This
paper
aims
to
analyse
the
free
vibrations
of
doubly
curved
imperfect
shear
deformable
functionally
graded
material
microshells
using
a
five‐parameter
model.
Porosity
is
modeled
via
modified
power‐law
rule
by
logarithmic‐uneven
variation
along
thickness.
Coupled
axial,
transverse,
and
rotational
motion
equations
for
general
microsystems
are
obtained
virtual
work/energy
Hamilton's
principle
first‐order
theory
including
small
size
dependence.
The
modal
decomposition
method
then
used
obtain
solution
different
geometries
microshells:
spherical,
elliptical,
hyperbolic,
cylindrical.
A
detailed
study
on
influence
gradation
porosity,
small‐length
scale
coefficient,
geometrical
parameters
frequency
characteristics
microsystem
conducted
shell
geometries.
