Applied Sciences,
Journal Year:
2023,
Volume and Issue:
13(19), P. 10742 - 10742
Published: Sept. 27, 2023
This
study
proposes
a
new
numerical
method
for
the
free
vibration
analysis
of
elastically
restrained
tapered
Rayleigh
beams
with
concentrated
mass
and
axial
force.
The
beam
model
had
elastic
support,
at
both
ends,
force
right
end.
supports
were
modeled
as
translational
rotational
springs.
shear
bending
moment
determined
under
assumption
that
sum
forces
arbitrary
positions
joint
between
always
becomes
zero.
Therefore,
frequency
determinant
is
established
considering
free-free
end
condition
but
various
boundary
conditions
constructed
by
adjusting
values
springs
in
equation.
simplified
deduction
procedure,
method’s
efficiency
was
demonstrated
through
comparisons.
In
particular,
value
compressive
loading
which
first
natural
vanished
investigated
taper
ratio
based
on
relationship
support
loading.
analyzed
results
can
be
adopted
benchmark
solutions
other
approaches.
employs
transfer
matrix
method;
however,
methods
easily
utilized
Mechanics of Advanced Materials and Structures,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 20
Published: Jan. 27, 2024
The
article
delves
into
the
reflection
of
bulk
plane
waves
in
a
flexomagnetic
slab
with
second-order
gradient
elasticity.
Employing
generalized
Gurtin-Murdoch
surface
elasticity,
study
provides
analytical
insights
amplitude
ratios
and
energy
flux
for
reflected
waves.
investigation
focuses
on
understanding
behavior
conversion
incident
P-SV
system,
highlighting
influences
residual
stress,
polarization.
outcomes
indicate
high
presence
stress.
findings
contribute
to
fundamental
knowledge
nanoscale
piezomagnetic
structures
potential
applications
magnetic
acoustic
wave
devices.
