biofidelity evaluation of a restrained under ... - ircobi
TRANSCRIPT
Abstract The present study evaluated the kinematics of the Global Human Body Model Consortium
(GHBMC) model, under frontal impact. Resultant acceleration data from simulations at head center of gravity
(CG), T1, sternum, T12, and sacrum were compared with sled test responses. The objectives of the present
study were to normalize the experimental data, qualitatively compare the simulation kinematics to that of the
PMHS response, and quantify the goodness‐of‐fit using correlation analyses (CORA). Kinematics data from
restrained eight PMHS tests – low (3.3 m/s), and medium (6.7 m/s) – were used to evaluate the biofidelity of
the GHMBC model under frontal impact. The experimental data were normalized to represent 50th percentile
male population, to minimize response variations due to demographics. The restrained GHBMC model was
positioned with its standard posture on a rigid seat. Simulations were performed using two different input
speeds – low, and medium ‐ under frontal impact conditions. Qualitative observation of the kinematics between
simulations and experiments indicated a good match. CORA ratings ranged from 0.51 to 0.78, and 0.53 to 0.75
for the low, and medium speed cases respectively, indicating acceptable kinematic biofidelity of the model
under frontal impact.
Keywords Finite element model, GHBMC, Validation, Biofidelity, Frontal impact.
I. INTRODUCTION
Delineating injury mechanisms in impact biomechanics is critical to prevent or attenuate injury‐causing factors
through counter‐measures. Traditionally, this delineation is done using post mortem human specimens (PMHS)
[1, 2], computer models [3], and anthropometric test devices (ATD, also known as “dummies”) [4, 5]. However,
compared to real life humans, the stiffness and biofidelity of these devices are very different, as they are
designed for repeated testing. Computer models constructed using rigid bodies, were available for crash
investigations since early 1960’s [6], however these models were limited in their capabilities, mainly due to the
lack, and cost of computational hardware at that time. Several finite element (FE) based human body models
(HBM) were recently developed due to the exponential increase in cost‐efficient powerful computational
hardware [7, 8]. In addition, rigorously formulated FE explicit theories [9, 10], and solvers – like Ls‐Dyna, Pam‐
Crash etc., ‐ accelerated the developments of these detailed FE models. Nevertheless, in order to obtain
trustworthy data from these HBMs, they must be validated against PMHS tests, for different modes, and rates
of loadings. Anthropometric variations are unavoidable in PMHS experiments. Generally, these variations
influence experimental responses [11]. To minimize these variations, individual PMHS responses can be
normalized to a predetermined reference population, such as mid‐sized male [12‐14], to be used to validate
HBMs.
One such detailed FE HBM was created – by the Global Human Body Model Consortium (GHBMC) ‐ to represent
50th percentile American male, with a standard seating posture. The GHBMC HBM was built with 1.95 million
elements, and 1.3 million nodes to represent a detailed anatomical geometry of the whole body parts. Past
studies have evaluated various biofidelity aspects of the model, under different modes, and rates of impact
loading. Park et al. (2013) evaluated the biofidelity of the model under lateral impact, using kinematics data
from sled tests. The model was impacted laterally with a rigid impactor to validate responses to that of PMHS
responses [15]. Hayes et al. (2014) used chestband data to validate the thoracic response of the GHBMC model,
Mike W.J. Arun ([email protected]) is a Post‐Doctoral Fellow, John R. Humm is a Research Engineer, Narayan Yoganandan is a Professor, Frank A. Pintar is a Professor, in the Department of Neurosurgery at Medical College of Wisconsin in the United States of America.
Biofidelity Evaluation of a Restrained Whole Body Finite Element Model under Frontal Impact using Kinematics Data from PMHS Sled Tests
1Mike W.J. Arun, John R. Humm, Narayan Yoganandan, Frank A. Pintar
IRC-15-69 IRCOBI Conference 2015
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Data from e
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model under
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odel, under
num, T12, an
to normaliz
onse, and qu
were tested
experiments
e experimen
unembalme
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as seated on
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raints. The
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nsure the re
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on a sled s
performed b
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3.3 m/s), and
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fixed in fron
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IRC-15-69 IRCOBI Conference 2015
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Figure 2.a).
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HBMC mode
urface. At
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to estimate
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(Figure 1.b)
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the start o
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using accept
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acceleration
celerometer
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spine, these
were transf
ments and mo
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between len
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rmalization f
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and i denotio between
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as placed on
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was not expe
to model a f
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at, B‐pillar, a
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defined as 0
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er packages)
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tween indivi
acceleration
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in Table 1.
;
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nce mass (7
at and the d
GHBMC mod
form signific
a B‐pillar w
with 550 se
boundary co
belts. From
ration of kne
r limb. Hen
rest were rig
tween the st
0.249 [15], to
itial velocit
at head CG
d‐shaped nin
nematic equ
vity of the s
d at the T1, T
d to the ster
d using the S
per second; f
reflective ma
using Vicon
T1 vertebra
basic appro
units [12]. F
dual PMHS
n (a ) and t
lized signals
inal signals.
76 kg) that
deceleration
el with its s
antly, it was
here an anch
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onditions. A
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o mimic the
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, T1, sternum
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tandard pos
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fixtures was
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ained – using
he coefficien
contact betw
applied to
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meter packag
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head. Using
rum levels to
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ilter standard
these videos
attached to
t 1000 frame
used to com
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nce PMHS.
The original
equations (1
) is the norm
he target po
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sture was po
using rigid e
the seat belt
mensional el
rial property
me‐rate video
s observed;
was not in
g the *RIGID
nt of friction
ween neopre
the whole
sacrum ‐ we
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package we
custom‐ma
o the posteri
d fourth ribs
ds. High‐spe
s were used
o the posteri
es per secon
mpare head‐
ger (1976) th
edure assum
The followi
l signals we
1) and (2). T
(
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malizing facto
opulation, a
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ositioned on
lements. Rig
t was attach
ements – w
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therefore t
ncluded in t
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model usi
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was
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(2)
or,
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IRC-15-69 IRCOBI Conference 2015
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pare the re
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mpared with
observed t
were not ac
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tion (Figure 3
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esponses fro
and sacrum
e too noisy,
operated to
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that the res
ccurate, as th
olved using L
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d spherical jo
was used for
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were comp
om the mod
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even after f
o obtain re
tal data, usin
sultant acce
hey were ca
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uls
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ared with t
el, and exp
model were e
filtering, hen
sultant acce
ng correlatio
elerations di
lculated inte
version 7.0
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ns. Then, th
imicking sled
spine was co
role in overa
spine. There
defined, betw
d joints in th
in joint defin
the respectiv
periments, re
extracted fr
nce compon
elerations. T
n methods t
irectly given
ernally befor
solver on a
80 100
me (ms)
LOW MEDI
e decelerati
d tests. As t
nstructed wi
all lower spi
efore commo
ween verteb
e lower spin
nition
ve normaliz
esultant nod
om respecti
ent wise (x,
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to quantify t
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IRC-15-69 IRCOBI Conference 2015
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Figure 4 C
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hifting the m
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Weighted sum
orridor, and
tudy are liste
ORA executi
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nd analyses (
he ratings in
h. CORA use
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responses. A
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er corridors
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averaging a
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tween the re
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show 5 perc
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detailed des
sponses, usi
mean curve b
three metric
m of these t
cross‐correl
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on directory
(CORA) was
CORA range
es two meth
e responses.
using user‐d
Along the m
This offset is
were calcula
of the peak
then a ratin
ver, if the re
on the user
all ratings fr
major disadv
esponses. A
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cent (of peak
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2. These par
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mean trace
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IRC-15-69 IRCOBI Conference 2015
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Figure 5 Pl
able 2 CORA
inematics co
ach simulatio
nematics co
espectively,
ecelerate, d
eatbelt, henc
ody model c
f the PMHS a
Figure 6 M
peed video, a
lots showing
A parameters
omparison:
on took app
omparison b
overall, the
ue the initia
ce loading th
changed dire
about the z‐a
Motion comp
and bottom
Method
Corridor
Cross correlat
g (a) progres
s used in this
proximately
between th
kinematics
al kinetic en
he model. In
ctions and r
axis due to s
parison at lo
row: motio
Para
A_
B_
D
D_
INT
tion
sion rating (
s study
20 hours to
e experime
showed goo
nergy stored
n both low a
ebounded b
houlder belt
ow speed:
n obtained f
ameters Value
K 2
G_1 0.5
A_0 0.05
B_0 0.5
_SIGMA 0
_SIGMA 0
D_MIN 0.01
_MAX 0.12
T_MIN 0.8
K_V 10
K_G 1
K_P 1
G_V 0.5
G_G 0.25
G_P 0.25
G_2 0.5
(b) time‐shif
III. RESULTS
solve on th
ent and sim
od agreemen
in the hum
and medium
ack to the se
t engagemen
Top row: Si
from simulat
es
Transit
5
1
2
Transitional or
Transition
Transitiona
5
5
We
t rating (c) s
S
he cluster. Fi
mulation for
nt. In simula
man body m
m speed expe
eats at appro
nt were also
ilhouette re
tion at (a) t=
De
tional order of funct
Weighting factor
Width of th
Width of th
Parameter to wi
Parameter to wid
Minimum int
Maximum int
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rder of function bet
al order of function
l order of function
Weighting factors
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Weighting factors
eighting factors of th
ize rating
igure 6 and
the low a
ations, when
odel, it mov
eriments, an
oximately 75
captured in s
ndering of m
=0 (b) t=75, a
scription
tion between rating
of the corridor met
he inner corridor
he outer corridor
den the inner corrid
den the outer corrid
erval of evaluation
terval of evaluation
interval overlap
tween ratings of 1 a
between ratings of
between ratings of
of the progression r
tors of the size ratin
of the phase shift ra
he cross correlation
Figure 7 sh
nd medium
n the rigid s
ved forward
nd simulation
5 and 60 ms
simulations.
motion capt
and t=135 m
gs of 1 and 0
hod
dor
dor
nd 0 for progression
f 1 and 0 for size
1 and 0 for phase
rating
g
ating
method
ow qualitati
m speed cas
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d engaging t
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. The rotatio
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ve
ses
to
he
an
ons
gh‐
IRC-15-69 IRCOBI Conference 2015
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sp
Figure 7 M
peed video, a
Figure 8 No
00
5
10
15
20
25
Hea
d C
G a
ccel
erat
ions
(g)
00
5
10
15
20
25
Ste
rnum
acc
eler
atio
n (g
)
Motion comp
and bottom
ormalized re
20 40
20 40
parison at me
row: motio
esultant acce
60 80 100
Time (ms)
GHB EXP
60 80 100
Time (ms)
GHBM EXPE
Sac
rum
acc
eler
atio
ns (
g)
edium speed
n obtained f
eleration dat
0 120 140
BMCPERIMENT
0 120 140
MCERIMENTS
0 200
5
10
15
20
25
d: Top row:
from simulat
ta from expe
40 60 80
Time (ms)
Silhouette r
tion at (a) t=
eriments, an
0 20
5
10
15
20
25
T1
acce
lera
tion
(g)
0 20
5
10
15
20
25
T12
acc
ele
ratio
n (
g)
100 120
GHBMC EXPERIMENT
rendering of
=0 (b) t=75, a
nd simulatio
20 40 60
Tim
20 40 60
Tim
140
f motion cap
and t=135 m
n for low sp
80 100
me (ms)
GHBMC EXPERIME
80 100
me (ms)
GHB EXP
ptured by hig
s
eed case
120 140
ENT
120 140
BMCPERIMENT
gh‐
IRC-15-69 IRCOBI Conference 2015
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Data Normalization:
The normalized low, and medium speed data are presented in Figure 8 and Figure 9. For low, and medium
speed cases, experimental peak head CG accelerations ranged from 3 to 9, and 16 to 27 g, whereas the
simulations showed approximately 10 and 23 g. Normalized experimental T1 accelerations ranged from 6 to 9,
and 18 to 20 g, whereas for simulations the accelerations were 9 and 25 g. For sternum the experimental
accelerations were between 9 and 20, and 16 and 23 g, although simulations showed 14 and 31 g. Experimental
T12 accelerations indicated a range from 10 to 13, and 19 to 26 g, whereas simulations indicated 19 and 42 g.
Finally, for sacrum the experimental accelerations were between 9 and 22, and 20 and 35 g, with simulations
indicating 12 and 26 g. Also it should be noted that the PMHS did not show stiffness degradation after low
speed tests, therefore the response of the medium speed tests were not affected by low speed tests, more
information on this can be found in Pintar et al. (2010).
Figure 9 Normalized resultant acceleration data from experiments, and simulation for medium speed case
Correlation analyses:
The results from the correlation analyses are shown in Table 3. For the low, and medium speed cases, the
combined rating was highest for the sacrum, whereas the lowest rating was to the head CG, and T12
0 20 40 60 80 100 120 1400
5
10
15
20
25
30
35
40
45
Hea
d C
G a
ccel
erat
ion
(g)
Time (ms)
GHBMC EXPERIMENTS
0 20 40 60 80 100 120 1400
5
10
15
20
25
30
35
40
45
T1
acce
lera
tion
(g)
Time (ms)
GHBMC EXPERIMENT
0 20 40 60 80 100 120 1400
5
10
15
20
25
30
35
40
45
Ste
rnum
acc
eler
atio
n (g
)
Time(ms)
GHBMC EXPERIMENT
0 20 40 60 80 100 120 1400
5
10
15
20
25
30
35
40
45
T12
acc
ele
ratio
n (
g)
Time (ms)
GHBMC EXPERIMENT
0 20 40 60 80 100 120 1400
5
10
15
20
25
30
35
40
45
Sac
rum
acc
eler
atio
ns (
g)
Time (ms)
GHBMC EXPERIMENT
IRC-15-69 IRCOBI Conference 2015
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re
sp
Th
its
st
no
du
re
no
ve
in
W
re
of
re
m
G
no
ar
di
an
us
an
ou
ac
0.
in
re
K
ho
te
espectively. I
peed increas
Table 3 CO
he objective
s kinematics
ternum, T12,
odal acceler
ue to variati
esponses, co
odal accelera
erified using
ntroduce sign
When the kin
esponse show
f the PMHS,
espect to the
may have infl
HBMC mode
ot be obtain
rtificial boun
ifference in
nd Figure 13
sed only at t
nd T1 ‐ had m
ut of the co
cceleration d
.6 and 0.8 fo
nitial posture
esponse som
Kinematics v
owever, Park
ests and use
It was intere
ed.
ORA ratings f
of the prese
s to that of
, and sacrum
ation data f
ions in demo
rrelation ana
ations were
trial problem
nificant error
nematics be
wed a good
and when t
e z‐ axis. The
uenced the
el was derive
ned during P
ndary condit
initial postu
3. Head and
hese two reg
minimum dif
onsidered 8
data showed
or T1 under
e similar to t
mewhat impro
alidation of
k et al. (2013
ed CORA to
sting to obse
or different
ent study wa
PMHS sled
m from eight
rom the GH
ographics. To
alyses were
obtained by
ms with know
rs in the mod
etween the
agreement.
the shoulder
e GHBMC m
response co
ed using a 2
MHS testing
tions, and a
re between
T1 coordina
gions in the t
fference and
test cases.
ratings of 0
low and me
the ideal GH
oving biofide
the whole
3) evaluated
o rate the g
erve the incr
body regions
IV
s to evaluate
tests, under
t PMHS tests
BMC model.
o quantify th
performed u
y differentiat
w acceleratio
del response
experiment
In experime
r belt loaded
model also ca
rridors, and
6‐year‐old (y
g mainly due
availability o
the PMHS a
ates were co
tests. Figure
Figure 13 sh
Despite the
.5 and 0.7 fo
edium speed
HBMC postu
elity ratings.
body GHBM
the biofidel
good‐of‐fit [
reasing trend
s
V. DISCUSSIO
e the biofide
r frontal imp
s – four low
. The experi
he goodness
using CORA m
ting and ope
ons and velo
es.
s and simul
ents, becaus
d the specim
aptured this
in turn the b
young) living
e to the age
of test speci
and GHBMC
onsidered in
e 12 shows th
hows the cas
ese variation
or head unde
d impact res
re may have
MC model w
ity of the mo
[15]. Using
d in average
ON
elity of the re
pact. Resulta
, and four m
mental data
s‐of‐fit betw
methodology
erating on co
ocities, there
lations were
se the seatbe
men, it rotate
complex mo
biofidelity ra
g subject; ho
of the PMH
mens. In or
, two extrem
this compa
he case in wh
se in which t
ns in initial
er low and m
pectively. Ho
e resulted in
as not repo
odel using ki
an impact
corridor, and
estrained GH
ant accelerat
medium spee
were norm
ween the sim
y. It should b
omponent ve
efore, this pr
e qualitative
elt was anch
ed in the co
otion. The in
tings of the
owever, this
S, absence o
rder to give
me cases we
rison as retr
hich the post
the postures
posture, co
medium spee
owever, per
n a mean cu
rted in liter
nematic dat
velocity of
d combined
HBMC model
tion data at
eds – were c
malized to mi
mulation, and
be noted tha
elocities. Th
rocess was n
ely compare
hored to the
ounter‐clock
nitial posture
model. The
kind of idea
of muscle ac
a quantifie
ere presente
ro reflective
tures – betw
s had maxim
rrelation an
ed impact res
rforming exp
urve closer t
rature for fr
ta from late
4.3 m/s, th
ratings, as t
l by compari
t head CG, T
compared wi
inimize effec
d experiment
t the resulta
is process w
ot expected
d, the over
left‐hand si
direction wi
e of the PM
posture of t
al posture m
ctivity, forcef
ed idea of t
d in Figure
trackers we
ween head Co
um differenc
alyses for t
spectively; a
periments wi
to the mode
ontal impac
ral impact sl
hey compar
he
ng
T1,
ith
cts
tal
ant
was
to
rall
de
ith
HS
he
ay
ful
he
12
ere
oG
ce,
he
nd
ith
el’s
ts;
ed
ed
IRC-15-69 IRCOBI Conference 2015
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accelerations of the model at T1, T6, and pelvis with experimental responses, and the CORA ratings were
reported as 0.27, 0.37, and 0.68 respectively. However, it is not clear whether the reported CORA ratings were
using the corridor method or correlation method, or the weighted sum of both the methods.
Figure 10 Head CoG and T1 posture with minimum difference for (a) low speed, and (b) medium speed
Figure 11 Head CoG and T1 posture with maximum difference for (a) low speed, and (b) medium speed
As indicated in the methods section, in the present study, for CORA ratings with the corridor method, 50% of
the peak mean values were used to construct the outer corridor. However, the ratings – both corridor, and
overall rating ‐ could differ if the width of the outer corridor is varied. In order to observe the difference, the
ratings were calculated for corridors constructed using 25% of the peak mean values. Figure 12 and Figure 13
shows the comparison of corridor, and overall ratings between 50%, and 25% outer corridors for low, and
medium speeds. In the corridor ratings the highest variations were observed in T12, in which the ratings
between 50, and 25 percent outer corridors dropped by 48, and 43 percent, for low, and medium speeds.
However, due to the contribution from the correlation method, for T12 the overall ratings only dropped by 16,
and 18 percent, for low and medium speeds. Therefore these construction parameters in CORA should be
chosen appropriately depending on specific requirements, and applications.
One of the limitations of the present study is the usage of a generic seatbelt material property, instead of a
characterized material property, used in the specific experimental sled tests. Considering the high stiffness of
these seatbelt materials, using a generic model should not make a significant difference, however minimum
variations could occur in simulation responses. The other limitation is the vertebral bodies of the thoracic, and
lower spine were modeled using rigid body elements, and the intervertebral discs were constructed using a
beam element surrounded by shell elements. Though these types of constructions may only estimate the real
world kinematics, and kinetics of the lower spine. In order to closely approximate the motions and loads, a
more realistic deformable model is preferred over rigid bodies, hence may further increase the GHBMC model’s
correlation ratings.
-200 -150 -100 -50 0 50 100 150 200 250550
600
650
700
750
800
850
900
t=130 ms
Experiment head CG Experiment T1 GHBMC head CG GHBMC T1
-z c
ordi
nate
(m
m)
x coordinate (mm)
t=0
-200 -150 -100 -50 0 50 100 150 200 250 300 350300
400
500
600
700
800
900
t=130 ms
Experiment head CG Experiment T1 GHBMC head CG GHBMC T1
-z c
ordi
nate
(m
m)
x corordinate (mm)
t=0
-200 -150 -100 -50 0 50 100 150 200 250 300 350 400550
600
650
700
750
800
850
900 Experiment head CG Experiment T1 GHBMC head CG GHBMC T1
-z c
ordi
nate
(m
m)
x coordinate (mm)
t=130 ms
t=0
-150 -100 -50 0 50 100 150 200 250 300 350 400300
400
500
600
700
800
900
t=0
t=130 ms
Experiment head CG Experiment T1 GHBMC head CG GHBMC T1
-z c
oror
dina
te (
mm
)
x coordinate (mm)
IRC-15-69 IRCOBI Conference 2015
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M
M
Theiki0.of
Th
re
W
M
N
fe
re
1.
Figure 12
Medium spee
Figure 13
Medium spee
his study evaight sled tesnematics be.51 to 0.78, af the model u
he study wa
esult of work
Wisconsin an
Model Conso
ational Labo
eedback on t
epresentative
. Lopezand RTraffic
Comparison
ed
Comparison
ed
aluated the sts with twoetween simuand 0.53 to 0under fronta
as supported
k supported
d the Medic
ortium for p
oratory for p
this manusc
e of the fund
z‐Valdes, F.J.R. Kent, The sc Inj Prev, 20
n of corrido
n of overall
biofidelity ofo different lations and 0.75 for the al impact.
d by the US
with resourc
cal College
roviding the
providing clu
ript. Any vie
ding organiza
, P.O. Riley, Dsix degrees of014. 15(3): p
r ratings be
ratings bet
V.
f the GHBMCspeeds, undexperimentslow, and me
VI. A
Department
ces and the u
of Wisconsin
e model for
uster resourc
ews expresse
ations.
V
D.J. Lessley, f freedom m. 294‐301.
etween 50%
tween 50%,
. CONCLUSIO
C finite elemder frontal is showed a gedium speed
ACKNOWLEDG
t of Transpo
use of facilit
n. The auth
r this study.
ces. The aut
ed in this art
VII. REFERENC
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