Zeitschrift für Naturforschung A,
Год журнала:
2023,
Номер
0(0)
Опубликована: Ноя. 13, 2023
Abstract
This
study
investigates
the
nonlinear
vibration
motions
of
Euler–Bernoulli
microbeam
on
a
elastic
foundation
in
uniform
magnetic
field
based
Modified
Couple
Stress
Theory
(MCST).
The
effect
size,
foundation,
and
motion
has
been
examined.
governing
equations
related
to
are
obtained
by
using
Hamilton’s
Principle,
Multiple
Time
Scale
Method
was
used
obtain
solutions
for
equations.
linear
natural
frequencies
presented
table
according
parameters
boundary
conditions.
frequency
ratio
graphs
shown.
present
results
also
compared
with
previous
work
validation.
It
is
observed
that
length
scale
force
have
more
significant
microbeams.
seen
when
coefficient,
Pasternak
effects
increase,
decreases.
International Journal of Engineering Science,
Год журнала:
2024,
Номер
197, С. 104017 - 104017
Опубликована: Фев. 2, 2024
This
paper
presents
an
investigation
into
the
importance
of
micromechanical
models
in
analysis
forced
vibrations
multi-layered
microplates
under
a
moving
load.
The
microplate
has
core
fabricated
from
functionally
graded
materials
and
face
sheets
consisting
metal
foam.
problem
is
modelled
via
quasi-3D
shear
deformable
method
modified
couple
stress
theory.
study
assumes
that
material
follows
power
gradation
pattern.
Various
models,
i.e.,
Hashin-Shtrikman
bounds,
Voigt-Reuss-Hill,
Voigt,
Reuss,
Tamura,
are
applied
to
estimate
characteristics
core.
sheets,
composed
foams,
possess
closed-
open-cell
solid
porosities.
System's
response
time
history
type
determined
by
numerically
solving
coupled
motion
equations
obtained
using
force-moment
balance
method.
A
finite
element
conducted
for
simplified
macroplate
system,
agreement
between
numerical
results,
proposed
theoretical
approach
theory
developed
this
paper,
found
be
very
good.
results
show
influence
mechanical
properties
layer,
consequently
impacting
moving-load
excited
microsystem.
Composite Structures,
Год журнала:
2023,
Номер
330, С. 117840 - 117840
Опубликована: Дек. 22, 2023
In
this
study,
a
comprehensive
study
on
the
vibration
behaviour
of
functionally
graded
thick
microplates
with
material
imperfections
is
presented
for
free
and
forced
vibrations
within
quasi-3D
model
modified
couple
stress
(MCS)
theory.
Axial,
transverse,
rotation,
stretching
motions
are
considered
modelling
microplate
in
framework
power-law
scheme
MCS
theories.
The
deformation
assumed
to
be
infinitesimal
modelled
using
linear
strain–displacement
relationships.
Using
virtual
work
method,
governing
motion
equations
derived.
For
fourfold
coupled
(axial-transverse-rotation-stretching)
characteristics,
partial
differential
components
discretised
via
trigonometric
expressions
corresponding
natural
frequencies
time
histories
(time-dependent
deflections)
determined
numerically.
methodology
initially
validated
through
comparative
analysis
between
macrolevel
simplified
structure
those
obtained
finite
element
software.
Additionally,
simulation
compared,
validation
purposes,
other
versions
from
literature.
Once
model's
validity
confirmed,
an
investigation
into
conducted
new
model.
results
demonstrate
considerable
effect
thickness
imperfection
characteristics
poroelastic
microplates.
International Journal of Engineering Science,
Год журнала:
2023,
Номер
189, С. 103887 - 103887
Опубликована: Май 11, 2023
The
bending
response
of
Bernoulli-Euler
nanobeams
made
a
functionally
graded
(FG)
material
with
different
cross-sectional
shapes
is
investigated
in
this
manuscript
by
stress-driven
model
incorporating
surface
energy
effects.
In
particular,
the
FG
nanobeam
composed
bulk
volume
and
layer
regarded
as
membrane
zero
thickness
perfectly
adhered
to
continuum.
mixture
metal
ceramic,
whose
distributions
spatially
vary
from
bottom
top
nanobeams.
nonlocal
governing
equations
elastostatic
problem
are
derived
using
virtual
work
principle.
main
results
parametric
investigation
also
presented
discussed
varying
parameter,
gradient
index
boundary
conditions
at
ends
They
show
how
proposed
able
study
behavior
inflected
including
International Journal of Engineering Science,
Год журнала:
2023,
Номер
193, С. 103966 - 103966
Опубликована: Окт. 13, 2023
Smart
composites
(SCs)
are
utilized
in
electro-mechanical
systems
such
as
actuators
and
energy
harvesters.
Typically,
thin-walled
components
beams,
plates,
shells
employed
structural
elements
to
achieve
the
mechanical
behavior
desired
these
composites.
SCs
exhibit
various
advanced
properties,
ranging
from
lower
order
phenomena
like
piezoelectricity
piezomagneticity,
higher
effects
including
flexoelectricity
flexomagneticity.
The
recently
discovered
flexomagneticity
smart
has
been
investigated
under
limited
conditions.
A
review
of
existing
literature
indicates
a
lack
evaluation
three-dimensional
(3D)
elasticity
analysis
when
flexomagnetic
effect
(FM)
exists.
To
address
this
issue,
governing
equations
will
incorporate
term
∂/∂z,
where
z
represents
thickness
coordinate.
variational
technique
guide
us
further
developing
equations.
By
using
hypotheses
theories
3D
beam
model,
von
Kármán's
strain
nonlinearity,
Hamilton's
principle,
well-established
direct
converse
FM
models,
we
derive
constitutive
for
thick
composite
beam.
Conducting
implies
that
gradient
tensors
must
be
expressed
forms.
inclusion
∂/∂z
necessitates
construction
different
model.
It
should
noted
current
commercial
finite
element
codes
not
equipped
accurately
adequately
handle
micro-
nano-sized
solids,
thus
making
it
impractical
model
structure
programs.
Therefore,
transform
derived
characteristic
linear
bending
into
semi-analytical
Polynomial
domain
obtain
numerical
results.
This
study
demonstrates
importance
conducting
analyses
explore
coupling
multiple
physical
structures.
International Journal of Engineering Science,
Год журнала:
2024,
Номер
198, С. 104056 - 104056
Опубликована: Март 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.
