arXiv (Cornell University),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Jan. 1, 2023
In
this
paper,
we
systematically
study
the
dynamic
snap-through
behavior
of
a
pre-deformed
elastic
ribbon
by
combining
theoretical
analysis,
discrete
numerical
simulations,
and
experiments.
By
rotating
one
its
clamped
ends
with
controlled
angular
speed,
observe
two
transition
paths
among
multiple
stable
configurations
in
three-dimensional
(3D)
space,
which
is
different
from
classical
two-dimensional
(2D)
bistable
beam.
Our
model
for
static
bifurcation
analysis
derived
based
on
Kirchhoff
equations,
dynamical
simulations
are
conducted
using
Discrete
Elastic
Rods
(DER)
algorithm.
The
planar
beam
also
employed
asymptotic
behaviors.
results
show
that,
since
processes
both
beams
3D
ribbons
governed
saddle-node
bifurcation,
same
scaling
law
delay
applies.
We
further
demonstrate
ribbons,
controlling
velocity
at
end,
distinct
pathways
can
be
realized
selectively
skipping
specific
modes,
moreover,
particular
final
modes
strategically
achieved.
Through
parametric
construct
general
phase
diagrams
mode
selection
snapping
ribbons.
work
serves
as
benchmark
future
investigations
thin
structures
provides
guidelines
novel
design
intelligent
mechanical
systems.
Applications in Engineering Science,
Journal Year:
2023,
Volume and Issue:
17, P. 100174 - 100174
Published: Dec. 19, 2023
This
work
studies
the
mechanics
of
novel
origami
solar
modules
with
tensegrity
architecture
for
integration
in
dynamic
façades
energy-efficient
buildings.
The
analyzed
are
deployed
by
adjusting
rest
lengths
cables
attached
to
given
nodes,
so
as
form
a
origami.
Their
stiffness
is
tuned
pretension
actuation
cables,
when
deployment
motion
locked.
insertion
thermal
or
photovoltaic
panels
into
rigid
elements
module
makes
it
possible
positive-energy
systems.
kinematics
and
investigated
structures
through
analytic
numerical
methods.
Two
folding
motions
examined:
open
close
track
sun
rays.
rapid
prototyping
physical
mock-up
permits
an
experimental
validation
force–displacement
response
configuration
sun-tracking
motion.
A
procedure
computation
fundamental
vibration
modes
frequencies
quadrangular
also
given,
expected
system
under
wind
loading
outlined.
Matter,
Journal Year:
2024,
Volume and Issue:
7(9), P. 3007 - 3023
Published: May 15, 2024
Foldable
structures
find
diverse
applications.
Folding
of
thin
into
compact
shapes
involves
the
interplay
nonlinear
mechanics
and
topology.
In
this
study,
we
employ
discrete
models,
theoretical
analysis,
tabletop
experiments
to
systematically
investigate
geometrically
folding
process
ring-shape
elastic
ribbons
through
in-plane
kinks
out-of-plane
creases.
We
that
initiate
continuous
supercritical
bifurcation,
while
creases
trigger
abrupt
snapping
via
subcritical
bifurcation.
Master
curves
summarize
energy
landscapes
for
with
varying
numbers
are
obtained.
By
integrating
creases,
a
"meta-ribbon"
can
be
created,
which
shows
tunable
behavior,
transitioning
from
snapping,
or
vice
versa,
by
strategically
engineering
angles
guided
constructed
map.
As
product
folding,
demonstrate
snapping-induced
vibration
accomplished
dynamic
as
well
multistability
meta-ribbons
saddle-like
configurations
their
transformation.
Proceedings of the National Academy of Sciences,
Journal Year:
2024,
Volume and Issue:
121(31)
Published: July 24, 2024
Multistable
structures
have
widespread
applications
in
the
design
of
deployable
aerospace
systems,
mechanical
metamaterials,
flexible
electronics,
and
multimodal
soft
robotics
due
to
their
capability
shape
reconfiguration
between
multiple
stable
states.
Recently,
snap-folding
rings,
often
form
circles
or
polygons,
has
shown
inducing
diverse
configurations.
The
natural
curvature
rod
segment
(curvature
its
stress-free
state)
plays
an
important
role
elastic
stability
these
determining
number
configurations
during
folding.
Here,
we
develop
a
general
theoretical
framework
for
analysis
segmented
rings
(e.g.,
polygons)
based
on
energy
variational
approach.
Combining
this
with
finite
element
simulations,
map
out
all
planar
various
determine
ranges
multistable
numerical
results
are
validated
through
experiments,
which
demonstrate
that
ring
rectangular
cross-section
can
show
up
six
distinct
also
reveal
that,
by
rationally
designing
ring,
one-
multiloop
configuration
store
more
strain
than
circular
same
total
length.
We
envision
proposed
strategy
achieving
multistability
current
work
will
aid
multifunctional,
reconfigurable,
structures.
