Mechanics Based Design of Structures and Machines,
Год журнала:
2024,
Номер
unknown, С. 1 - 29
Опубликована: Окт. 7, 2024
This
paper
introduces
a
novel
hybrid
function,
synthesizing
trigonometric
and
Hermitian
polynomials,
to
analyze
the
structural
responses
of
bi-directional
functionally
graded
porous
(2D-FGP)
beams.
The
displacement
field
beam
is
based
on
higher-order
shear
deformation
theory.
A
power-law
relation
governs
material
variation
along
x-
z-directions,
with
porosity
manifesting
in
three
distinct
distributions.
governing
equations
are
deduced
through
application
Lagrange's
equation.
proposed
function
developed
delineate
field.
deflections,
stresses,
buckling
loads,
natural
frequencies
2D-FGP
beams
computed
for
diverse
gradation
exponents
boundary
conditions,
type,
coefficient,
slenderness
ratio.
comparative
assessment
finite
element
method
results
indicates
that
findings
agree
available
data.
It
substantiates
accuracy
efficiency
methodology.
The Journal of Strain Analysis for Engineering Design,
Год журнала:
2024,
Номер
59(8), С. 559 - 574
Опубликована: Сен. 20, 2024
This
study
presents
a
comprehensive
exploration
of
the
comparative
static
analysis
functionally
graded
porous
curved
beams,
examining
deterministic
versus
stochastic
approaches.
The
material
randomness
is
incorporated
using
finite
element
model.
formulation
employed
in
this
utilizes
three-noded
elements
and
combines
higher-order
shear
deformation
theory
(HSDT)
with
probabilistic
first-order
perturbation
technique.
investigation
focuses
on
an
FGM
beams
incorporating
various
porosity
models,
including
even,
uneven,
sinusoidal
distributions.
beam
subjected
to
uniform
distributed
load,
aims
determine
bending
responses
under
these
conditions.
Additionally,
parameters
influencing
response,
such
as
boundary
conditions,
geometric
configurations,
volume
fraction
indices,
distributions,
are
examined.
uncertain
assessed
terms
stochasticity
model,
validation
through
Monte
Carlo
simulation.
Subsequent
research
endeavors
within
field
may
investigate
impact
random
fluctuations
both
geometry
Mechanics Based Design of Structures and Machines,
Год журнала:
2024,
Номер
unknown, С. 1 - 29
Опубликована: Окт. 7, 2024
This
paper
introduces
a
novel
hybrid
function,
synthesizing
trigonometric
and
Hermitian
polynomials,
to
analyze
the
structural
responses
of
bi-directional
functionally
graded
porous
(2D-FGP)
beams.
The
displacement
field
beam
is
based
on
higher-order
shear
deformation
theory.
A
power-law
relation
governs
material
variation
along
x-
z-directions,
with
porosity
manifesting
in
three
distinct
distributions.
governing
equations
are
deduced
through
application
Lagrange's
equation.
proposed
function
developed
delineate
field.
deflections,
stresses,
buckling
loads,
natural
frequencies
2D-FGP
beams
computed
for
diverse
gradation
exponents
boundary
conditions,
type,
coefficient,
slenderness
ratio.
comparative
assessment
finite
element
method
results
indicates
that
findings
agree
available
data.
It
substantiates
accuracy
efficiency
methodology.
