International Journal of Structural Stability and Dynamics,
Год журнала:
2023,
Номер
24(18)
Опубликована: Ноя. 3, 2023
The
utilization
of
functionally
graded
graphene
platelet-reinforced
composites
(FG-GPLRC)
and
honeycomb
sandwich
constructions
is
prevalent
in
the
field
engineering.
Therefore,
it
crucial
to
investigate
buckling
vibration
properties
these
materials
under
heat
circumstances.
This
paper
specifically
focuses
on
thermal
characteristics
a
novel
multi-arc
concave
plate
(MACHSP)
equipped
with
an
adjustable
positive-negative
Poisson’s
ratio.
governing
equations
motion
for
system
are
derived
based
first-order
shear
deformation
theory
conjunction
Hamilton’s
principle.
formulation
system’s
characteristic
equation
involves
establishment
displacement
functions
that
satisfy
distinct
boundary
conditions.
Using
computational
programming,
natural
frequencies,
mode
shapes,
critical
temperatures
MACHSP
three
different
FG-GPLRC
distributions
influences
determined.
Subsequently,
results
compared
outcomes
from
finite
element
simulations
findings
previously
published
literature.
Additionally,
amplitude-frequency
response
structure
harmonic
excitation
analyzed,
followed
by
discussion
impact
structural
parameters
its
characteristics.
indicate
established
theoretical
model
predicting
distribution
aligns
well
simulation
models
prior
research.
In
contrast
solid
plates,
not
only
achieves
substantial
reduction
weight
but
also
demonstrates
significant
increase
frequency.
Furthermore,
platelets
have
potential
enhance
structure’s
frequency
values
temperatures.
Lastly,
various
exert
notable
influence
performance.
Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 23, 2025
Since
nanocomposites
have
recently
been
used
in
a
wide
range
of
industries,
scientists
are
becoming
increasingly
interested
simulating
these
kinds
materials.
Engineers
outcomes
that
match
simulations
nanocomposites.
Examining
the
impact
nanoparticle
aggregation
computations
is
one
step
accurately
modeling
reinforced
nanocomposite.
With
regard
to
size-dependent
continuum
modeling,
this
work
aims
evaluate
dynamic
behavior
small-scaled
composites
with
carbon
nanotubes
(CNTs)
light
CNT
aggregations.
In
simulation
nanotube-reinforced
micro-
or
nanocomposite,
taking
into
account
more
length
scale
parameters—which
typically
thought
constant
value—is
crucial.
This
innovative
it
examines
how
affects
nanocomposite
structure
while
considering
variable
parameter.
We
address
and
solve
an
example
using
modified
couple
stress
theory
(MCST).
The
effectiveness
employing
parameter
(LSP)
MCST
confirmed
by
conducting
comparison
between
proposed
strategy
experimental
molecular
(MD)
results.
A
curved
microbeam
examined
for
problem,
alterations
agglomeration
parameters
investigated
detail.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Год журнала:
2024,
Номер
104(11)
Опубликована: Сен. 22, 2024
Abstract
The
transference
of
the
surface
seismic
wave
at
loosely
bonded
common
interface
a
visco‐piezo
composite
structure
is
examined
in
current
work.
With
flexoelectric
effect
taken
into
account,
composed
viscoelastic
layer
embedded
on
piezoelectric
substrate.
shear
stiffness
upper
thought
to
be
described
by
Kelvin–Voigt
model.
An
analytical
separable
variable
method
used
derive
complex
dispersion
relation
for
both
electrically
open
and
short
circuit
scenarios.
A
numerical
example
presented
demonstrate
significant
influence
several
influencing
parameters
wave's
phase
velocities
attenuation
coefficients.
Additionally,
graphic
comparison
three
rheological
models
–
Maxwell,
Newton
covered.
Results
indicate
that
curve
pertaining
Maxwell
model
lowest
than
Some
major
outcomes
are
highlighted
here
as:
prominent
bonding
parameter
well‐proportional
velocity
inversely
proportional
coefficient,
flexoelectricity
has
an
intensive
impact
coefficient
curves.
This
theoretical
study
leads
understanding
piezo‐flexo
coupling
its
potential
application
design
sensors,
actuators,
energy
harvesters
nano‐electronics.
Computer Modeling in Engineering & Sciences,
Год журнала:
2024,
Номер
140(1), С. 41 - 76
Опубликована: Янв. 1, 2024
The
collocation
method
is
a
widely
used
numerical
for
science
and
engineering
problems
governed
by
partial
differential
equations.This
paper
provides
comprehensive
review
of
methods
their
applications,
focused
on
elasticity,
heat
conduction,
electromagnetic
field
analysis,
fluid
dynamics.The
merits
the
can
be
attributed
to
need
element
mesh,
simple
implementation,
high
computational
efficiency,
ease
in
handling
irregular
domain
since
type
node-based
method.Beginning
with
fundamental
principles
method,
discretization
process
continuous
elucidated,
how
approximation
solutions
solving
equations
are
explained.Delving
into
historical
development
methods,
earliest
applications
key
milestones
traced,
thereby
demonstrating
evolution
within
realm
computation.The
mathematical
foundations
encompassing
selection
interpolation
functions,
definition
weighting
derivation
integration
rules,
examined
detail,
emphasizing
significance
comprehending
method's
effectiveness
stability.At
last,
practical
application
contexts
emphasized,
including
conduction
simulations,
coupled
dynamics
simulations.These
specific
case
studies
underscore
broad
applicability
addressing
complex
challenges.In
conclusion,
this
puts
forward
future
trend
through
rigorous
analysis
discussion,
facilitating
further
advancements
research
these
fields.
