Composite Structures,
Год журнала:
2024,
Номер
340, С. 118146 - 118146
Опубликована: Апрель 24, 2024
A
plethora
of
challenging
nanomechanical
applications
deals
with
ultrasmall
composite
structures
interacting
nonlocal
media.
To
capture
size
dependent
behaviors,
effective
tools
Nonlocal
Continuum
Mechanics
can
be
conveniently
adopted,
provided
that
the
relevant
structural
problem
is
well-posed.
crucial
improvement
in
modeling
nanobeams
on
nanofoundations
present
work
respect
to
formulation
based
Eringen–Wieghardt
approach.
Scale
effects
FG
under
torsion
are
effectively
captured
by
exploiting
consistent
stress-driven
integral
theory
elasticity.
novel
elastic
foundations
here
introduced.
Notably,
constitutive
behavior
describing
interaction
between
twisted
and
surrounding
media
modeled
spatial
convolution
driven
torsional
rotation
field.
It
shown
governing
mathematically
represented
an
integro-differential
formulation.
An
equivalent
simpler
differential
then
proven
reduce
computational
burdens.
Exemplar
case-studies
finally
examined
show
efficacy
developed
methodology.
International journal of mechanical system dynamics,
Год журнала:
2024,
Номер
unknown
Опубликована: Дек. 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.
