Waves in Random and Complex Media,
Journal Year:
2021,
Volume and Issue:
34(6), P. 5933 - 5956
Published: Dec. 28, 2021
This
paper
investigates
the
nonlinear
vibrational
characteristics
of
two-dimensional
temperature-dependent,
and
imperfect
functionally
graded
(2D-FG)
truncated
conical
nanotubes
based
on
nonlocal
strain
gradient
theory
coupled
with
Von-Kármán
using
a
novel
high-order
tube
along
first-order
beam
theory.
The
Hamilton
principle
is
used
to
derive
governing
equations
associated
boundary
conditions.
A
numerical
approach,
including
couple
iteration
techniques
generalized
differential
quadrature
method
(GDQM),
solve
linear
for
different
clamped
simply-supported
composition
makes
temperature/-
porosity-dependent
material
ceramic
metal
phases
in
radius
direction
that
also
changes
length,
which
means
properties
are
varied
both
axial
radial
it
(2D-FGM).
obtained
results
discussed
detail
investigate
effect
parameter,
temperature
change,
amplitude,
porosity
aspect
ratio,
etc.,
behavior
nanotubes.
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.