Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering,
Journal Year:
2025,
Volume and Issue:
unknown
Published: April 24, 2025
This
research
investigates
the
nonlinear
vibration
response
of
partially
cracked,
generally
orthotropic,
rectangular
micro-plates
featuring
non-uniform
thicknesses
coupled
with
a
fluid
medium.
The
traditional
classical
plate
theory
(CPT)
in
conjunction
modified
couple
stress
(MCST)
is
used
to
derive
governing
equation
orthotropic
varying
thickness.
presence
partial
crack
at
plate’s
center
modeled
using
simplified
line
spring
model
(LSM),
and
in-plane
forces
bending
moment
resulting
from
are
incorporated
into
equation.
Furthermore,
interaction
medium
considered,
introduction
virtual
added
mass
via
velocity
potential
function
Bernoulli’s
equations,
considering
both
horizontal
vertical
immersion
scenarios.
study
also
explores
thickness
variations
one
two
dimensions
along
X
Y
axes.
methodology
employs
Galerkin’s
approach
convert
equations
time-dependent
modal
coordinates,
Berger’s
method
introduces
nonlinearity
these
coordinates.
approximation
solution,
multiple
scales,
utilised
solve
equations.
Various
parameters
considered
analysis,
including
length,
size
effect,
variations,
fiber
orientations,
levels,
depth.
impact
factors
on
behaviour
submerged
generally,
under
different
boundary
conditions,
presenting
novel
findings.
Additionally,
an
illustration
provided
visually
depict
bending-hardening
bending-softening
phenomenon
concerning
taper
constant
depth
submergence.
Ships and Offshore Structures,
Journal Year:
2023,
Volume and Issue:
19(6), P. 820 - 830
Published: May 22, 2023
An
analytical
approach
for
nonlinear
thermo-mechanical
buckling
of
functionally
graded
graphene
platelet
reinforced
composite
(FG-GPLRC)
circular
plates
and
shallow
spherical
shells
resting
on
elastic
medium
using
the
higher-order
shear
deformation
theory
(HSDT)
nonlinearities
von
Kármán
is
established
in
present
work.
Assuming
that
structures
are
axisymmetrically
displaced
central
axis
external
pressure
thermal
loads
applied.
The
used
to
model
behaviour
hardening
or
softening
depending
positive
negative
values
parameter,
respectively.
By
applying
Ritz
energy
method,
relation
expressions
load-deflection
archived
investigate
postbuckling
response
critical
load
structures.
Special
effects
with
different
stiffnesses,
material
parameters,
geometrical
dimensions
explored
discussed
numerical
results.
Waves in Random and Complex Media,
Journal Year:
2021,
Volume and Issue:
34(6), P. 5077 - 5109
Published: Dec. 22, 2021
Stress
wave
propagation
and
free
vibration
response
of
functionally
graded
graphene
platelet
(FG-GPL)-reinforced
porous
joined
truncated
conical–cylindrical-conical
shell
are
investigated
in
this
paper.
The
is
constructed
a
metallic
matrix
reinforced
by
three
types
distribution
GPLs
open-cell
interior
pores.
modified
Halpin–Tsai
estimation
the
generalized
rule
mixture
employed
to
calculate
effective
mechanical
properties
structure.
Three
different
distributions
for
porosity
assumed
along
with
thickness:
two
kinds
symmetric
FG
uniform
porosity.
Rayleigh-Ritz
energy
method,
accompanied
Finite
element
has
been
used
solve
2D-axisymmetric
elasticity
equations.
Furthermore,
Newmark
direct
integration
method
applied
obtain
time
responses
stress
shells
subjected
an
internal
impulse
loading.
A
comparative
detailed
investigation
also
conducted
indicate
effects
boundary
conditions,
geometries,
weight
fraction
GPLs,
coefficient,
dispersion
pattern
on
natural
frequencies,
mode
shapes
histories
displacement
stresses
shell.
Waves in Random and Complex Media,
Journal Year:
2022,
Volume and Issue:
unknown, P. 1 - 39
Published: March 29, 2022
The
present
study
investigates
the
free
and
forced
vibration
of
composite
nanoplate
with
an
attached
nano
mass-spring-damper
system.
mentioned
constitutes
three
layers
in
which
core
layer
is
assumed
to
be
a
functionally
graded
material,
top
bottom
surfaces
are
supposed
magneto-electro-elastic
material.
Eringen's
nonlocal
theory
used
consider
small-scale
effect,
system
rest
Winkler
Pasternak
medium.
Governing
equations
determined
based
on
first-order
shear
deformation
extended
Hamilton's
principle.
Two
coupled
ordinary
differential
equation
partial
nanoplate's
governing
solved
analytically
aid
Laplace
Navier-type
transforms.
impact
various
parameters
such
as
parameter,
gradient
index,
magnitude
mass,
load
velocity
considered
explained
detail.
research
results
indicate
that
increasing
thickness
increases
natural
frequency.
To
peruse
study's
precision
efficacy,
proposed
compared
articles
accessible
literature.
existing
investigation
can
drug
delivery,
biosensors,
designing
resonators.
