Mechanics Based Design of Structures and Machines,
Journal Year:
2023,
Volume and Issue:
52(6), P. 3011 - 3037
Published: April 11, 2023
This
paper
presents
a
generalized
vibration-based
multiple
breathing
crack
localization
technique
in
beams
with
an
unknown
number
of
cracks
based
on
Singular
Spectrum
Analysis
(SSA).
Localization
is
highly
challenging
inverse
problem,
as
all
these
(more
than
two)
might
be
similar
state
(either
opening
or
closing
state)
at
any
particular
time
instant
contrasting
states
(while
some
are
opening,
others
during
vibration.
The
level
nonlinearity
vibration
response
strongly
dependent
not
only
each
size,
and
location
but
also
the
application
driving
force
along
cracked
beam.
concept
varied
input
frequency
excitation
sources
employed
present
work
for
identification
over
tedious
traditional
approach
varying
positions.
major
advantage
using
singular
spectrum
analysis
that
it
can
reliably
isolate
extract
very
low-amplitude
nonlinear
sensitive
components
(super
harmonics
intermodulation)
being
buried
total
pairwise
eigenvalue
property
harmonic
components.
Investigations
have
been
carried
out
by
number,
spatial
locations,
intensities
cracks.
Sensitivities
associated
measurement
noise
limited
sensors
investigated.
results
both
numerical
experimental
investigations
this
concluded
proposed
SSA
effectively
localize
closely
spaced
sparsely
(i.e.,,
spatially
far
apart)
data-driven,
works
sensors,
does
need
reference
healthy
measurements.
Bioengineering,
Journal Year:
2024,
Volume and Issue:
11(10), P. 991 - 991
Published: Sept. 30, 2024
Changes
in
biomechanical
properties
such
as
elasticity
modulus,
viscosity,
and
poroelastic
features
are
linked
to
the
health
status
of
biological
tissues.
Ultrasound
elastography
is
a
non-invasive
imaging
tool
that
quantitatively
maps
these
characteristics
for
diagnostic
treatment
monitoring
purposes.
Mathematical
models
essential
ultrasound
they
convert
raw
data
obtained
from
tissue
displacement
caused
by
waves
into
images
observed
clinicians.
This
article
reviews
available
mathematical
frameworks
continuum
mechanics
extracting
tissues
elastography.
Continuum-mechanics-based
approaches
classical
viscoelasticity,
elasticity,
poroelasticity
models,
well
nonlocal
continuum-based
described.
The
accuracy
can
be
increased
with
recent
advancements
modelling
techniques
including
hyperelasticity,
biphasic
theory,
inversion-based
incorporating
scale
effects.
However,
time
taken
clinical
increases
more
complex
this
major
challenge
expanding
utility
As
we
strive
provide
most
accurate
patients,
further
research
needed
refine
incorporation
workflow.
Mechanics Based Design of Structures and Machines,
Journal Year:
2023,
Volume and Issue:
52(6), P. 3011 - 3037
Published: April 11, 2023
This
paper
presents
a
generalized
vibration-based
multiple
breathing
crack
localization
technique
in
beams
with
an
unknown
number
of
cracks
based
on
Singular
Spectrum
Analysis
(SSA).
Localization
is
highly
challenging
inverse
problem,
as
all
these
(more
than
two)
might
be
similar
state
(either
opening
or
closing
state)
at
any
particular
time
instant
contrasting
states
(while
some
are
opening,
others
during
vibration.
The
level
nonlinearity
vibration
response
strongly
dependent
not
only
each
size,
and
location
but
also
the
application
driving
force
along
cracked
beam.
concept
varied
input
frequency
excitation
sources
employed
present
work
for
identification
over
tedious
traditional
approach
varying
positions.
major
advantage
using
singular
spectrum
analysis
that
it
can
reliably
isolate
extract
very
low-amplitude
nonlinear
sensitive
components
(super
harmonics
intermodulation)
being
buried
total
pairwise
eigenvalue
property
harmonic
components.
Investigations
have
been
carried
out
by
number,
spatial
locations,
intensities
cracks.
Sensitivities
associated
measurement
noise
limited
sensors
investigated.
results
both
numerical
experimental
investigations
this
concluded
proposed
SSA
effectively
localize
closely
spaced
sparsely
(i.e.,,
spatially
far
apart)
data-driven,
works
sensors,
does
need
reference
healthy
measurements.