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International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
4
doi: 10.32622/ijrat.77201903

Abstract— When Curtain Side Airbags are validated in
real environment, a great variability in deployment behavior
and performance is observed and many optimization loops
are executed to mitigate that variability, with potential extra
costs and time delays. The present study analyzes the Curtain
Airbag performance in order to develop design best practices
able to reduce the variability of his behavior and maximize
the performance of his deployment. To achieve this goal the
DFSS methodology has been applied and ad hoc
experimental parameters have been identified to evaluate
Curtain Airbag behavior. Noise factors and control factors
have been defined and experimental testing has been
executed to evaluate the contribution of each control factor to
the overall performance. Finally, control factors that
maximize the Signal to Noise ratio and the airbag
performance have been chosen and translated into
engineering best practices.
Index Terms— SABIC; DFSS; Robust Engineering;
Airbag Deployment
I. INTRODUCTION
Curtain Airbag, commonly known as Side Airbag
Inflatable Curtain (SABIC), is an airbag which deploys on
each side of the vehicle in order to prevent fatal injuries to the
occupant head, particularly for lateral impact accidents.
In real life environment the SABIC has to properly
deploy inside a complete vehicle system, interacting with a
high number of components (i.e. headliner, ramp brackets,
trims, absorbers). The interaction with surrounding parts,
with their own tolerances, may have influence on bag
deployment and trim integrity and at the end, on customer
protection. Moreover, the SABIC has to maintain a stable
response and positioning with different environment
conditions (such as temperature), wearing and aging status.
Usually, intensive hardware tests have to be conducted to
ensure clean deployment of the curtain airbag through trim
when the prototype trims parts are available. [1]
All these factors contribute to make the development
process of a SABIC for a new vehicle very complex and
sensible to late changes in the design, also due to the fact that
final design freeze is possible only with the availability of
vehicles with a status very close to final production.
Manuscript revised on July 02, 2019 and published on August 10, 2019
Claudio Guerra, Emea Product Development,
, FCA Italy, Email:
claudio.guerra@fcagroup.com1
nicola.leomanni@fcagroup.com2
Nicola Leomanni, Emea Product Development,
, FCA Ital. Email:
nicola.leomanni@fcagroup.com2
II. OBJECTIVES
It has been applied a ―DFSS‖ methodology with the
following target: develop robust design best practices that
permit to reduce variability of airbag deployment behavior,
minimizing the sensibility of the airbag to external factors
(noises).
Robustness in DFSS is defined as ―the state of performance
where the technology, product, or process is minimally
sensitive to factors causing variability at the lowest possible
cost.‖ [2]
III. DFSS METHOD
Dr. Taguchi’s DFSS method follows the IDDOV –
Identify, Define, Develop, Optimize, and Verify – process. In
this paper the focus is on the Optimize phase. The purpose of
the Optimize Phase is to develop the product to be robust.
Robust optimization uses orthogonal arrays to conduct
efficient experiments that are balanced. [2] The key of the
Optimize Phase is the parameter design process. In the
parameter design the aim is to measure and optimize the
variability and efficiency of the energy transformation of the
system in consideration. [4]
IV. PARAMETERS IN SCOPE OF THE PROJECT
Only parameters that are directly related to cushion
design are within the scope of the activity; all the others such
as inflator performances, interiors trims designs and
Body-in-white design are considered out of scope.
V. TESTING PROCEDURE AND IDEAL
FUNCTION
In order evaluate the performances of the SABIC the
vehicle has been virtually divided in a number of different
vertical paths. For each paths, the amount of vertical
displacement of the cushion during time is the function that
describes the system performance.
The ideal function for the system is linear:
Y (output response) = β x M (input signal)
Y= % of cushion displacement
M= time (ms)
Β = slope of the output response.
To get a plot of the function in the real environment
through the analysis of SABIC deployment videos, the
percentage of SABIC deployment has been recorded at 1ms
step, describing the speed of the vertical cushion
displacement in each section of the vehicle.
Curtain Airbag design for Robust Deployment
Claudio Guerra, Nicola Leomanni
International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
5
doi: 10.32622/ijrat.77201903
To evaluate the percentage of SABIC deployment along
each specific path, the amount of cushion deployed in the
video frame has been measured by software, setting the zero
at the headliner lower profile (before airbag activation).
Then this amount of cushion deployed has been compared to
the total amount (airbag fully deployed) to get the percentage
for each step, see fig. 1.
Figure 1. Deployed cushion measurement
VI. PRELIMINARY TESTING ON CURRENT
SCENARIO
Preliminary tests on current production vehicle have been
executed.
The outcome of the testing was useful also to validate
measurement procedure for reproducibility and repeatability.
For the testing, a B-segment SUV vehicle and n.10
different paths have been chosen. In order to have a visible
reference, the Body in white has been marked with properly
spaced red dots. These references have been used to define
the vertical paths in the position judged as more valuable, see
next fig 2.
:
Figure 2. Vertical paths definition
Some static SABIC deployments tests has been recorded
and the typical result is plotted in fig.3.
Figure 3. Preliminary testing results
It is evident that the rear paths (from n.10 to n.7) are
significantly faster than the average.
Meanwhile the front paths (from n.3 to n.1) are
significantly slower than the average.
This indicated that the coverage speed of the airbag
cushion is not balanced, creating areas in which the cushion
deployed in advance respect to other areas, forcing the
engineers to increase gas generator output to reach proper
cushion coverage also in the slower areas.
VII. SET UP FOR DEFINITIVE TESTING
In order to manage and to optimize the big amount of
experimental data it has been decided focus only on the
portion of cushion that really influences the safety
performance: the first impact regions of the occupant’s head
on side crash.
Referring to the n.10 paths of the preliminary testing the
important paths to be recorded are n. 4,5 and 9,10. See fig. 4.
Figure 4. Paths correlated with head impact position
VIII. NOISE FACTORS
According to DFSS methodology, these are the factors that
are outside the control of the designer, due to either practical
or economic reasons, such as environmental condition or
aging of materials. [3]
All ―noise‖ effects produced by real environmental are
very difficult to be reproduced in numerical simulations,
particularly in the initial phase of an airbag development.
Creating an accurate model of a folded airbag is a challenge,
even with the latest improvements of the corpuscular particle
method (CPM) [1]. Therefore, standard design methodology
is based on previous lessons learned without a systematic
approach and without knowing which design feature is really
affecting robustness of the deployment. Consequently, many
modifications in late project phase can occur, even close to
the vehicle launch.
Noise factors are chosen that will likely cause the system
to perform at lower levels of performance. The noise strategy
is to compound these factors together to introduce maximum
variation.
For each noise factor, two levels (N1 and N2) were
International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
6
doi: 10.32622/ijrat.77201903
defined: with a LOW (N1) and a HIGH (N2) effect on system
output response.
Low and High effects have been identified by engineering
experience or in case of doubt with dedicated experiments.
Noise factors taken in consideration are:
A) Headliner overlapping in the trim pillars:
This factor represents the variability in the tolerance of
overlapping between headliner edge and pillars trim edge, see
fig.5:
N1: maximum overlapping (10mm)
N2: minimum overlapping (6mm)
Figure 5. Overlapping between Headliner and trims
B) Aging condition of the SABIC:
N1: aged condition simulating 15 years life.
N2: new condition;
C) Cushion positioning under trim:
This factor represents the variability in the distance
between Body in White (B.I.W.) and cushion pack in rest
position (see fig. 6):
N1: 10mm distance.
N2: cushion package in contact to body in white
Figure 6. Distance between cushion pack and B.I.W.
D) Number of clips for A pillar Trim fixation.
This factor represents the variability in typical design for
the number of retention point for the A pillar trim (see fig. 7):
N1: 3 clips.
N2: 2 clips.
Figure 7. A - Pillar clips positions
E) Temperature of environment during airbag
deployment:
N1: cold condition (-20°C)
N2: room temperature (23°C);
IX. CONTROL FACTORS
Control factors are those design and process factors that
can be selected and fixed to a certain level after Parameter
Design. [3]
For our purpose control factors are the parameters that can
be used in airbag design in order to optimize the deployment,
and they are defined with precise levels.
In the control factor description, dimensions have not been
indicated, due to company intellectual property.
The Control Factors taken in consideration are:
A) Cushion folding:
The basics cushion folding used for the SABIC are zig-zag
and roll folding. With zig-zag folding the cushion is folded in
an accordion pattern, in the roll folding the cushion is rolled
on itself. With combination of this two basic folding patterns
is possible to create many different types of cushion folding.
Here six types are evaluated, corresponding to following
levels:
A1: Roll outboard
A2: n.1 Vertical zig zag + roll
A3: n2 Vertical zig zag + roll
A4: Roll inboard
A5: n1 Horizontal zigzag + roll
A6: n2 Horizontal zigzag + roll
B) Internal diffuser central opening geometry:
The internal gas diffuser is a fabric structure sewed inside
International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
7
doi: 10.32622/ijrat.77201903
the cushion that can deflect the exit gas from Inflator in
predefined directions through lateral and central openings.
Three types of diffuser central openings are evaluated,
corresponding to following levels (see fig.8)
B1: No opening
B2: small opening
B3: big opening
Figure 8. Diffuser central opening
C) Internal diffuser lateral openings, see fig. 9.
Three types of diffuser lateral openings are evaluated,
corresponding to following levels (see fig..)
C1: same size openings
C2: ratio>1 (front diffuser opening bigger than rear)
C3: ratio<1 (front diffuser opening smaller than rear)
Figure 9. Diffuser lateral openings
Control factors D, E and F: are related to cushion shape
and design:
D) bottom horizontal channel connecting front camera
with rear camera:
Three types of horizontal channels are evaluated,
corresponding to following levels (see fig10)
D1: no channel
D2: small channel
D3: large channel
Figure 10. Horizontal channel
E) Front cushion design
Three types of front designs are evaluated, corresponding
to following levels (see fig11):
E1: without delayed chamber
E2: with delayed chamber
E3: with ―twister‖ shaped chamber
Figure 11. Front cushion design
F) Rear cushion design
Three types of rear designs are evaluated, corresponding to
following levels (see fig12):
F1: with delayed chamber
F2: without delayed chamber
F3: with ―twister‖ shaped chamber
Figure 12. Rear cushion design
G) Additional rear folding:
Folding around a vertical line on the rear chamber
executed before or after the complete folding of the
cushion:
Three types of rear folding designs are evaluated,
corresponding to following levels (see fig11):
G1: Prefold
G2: None
G3: Postfold
International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
8
doi: 10.32622/ijrat.77201903
Figure 13. Rear pre/post folding
X. TESTING EXECUTION
A proper orthogonal array is selected according to how many
different control factors and levels are needed for the
experiments. In this case an L18 approach has been used with
n.1 six levels control factor and n.6 three levels control
factors, see table1. Each row of the array represents 2
experiment with the same control factors but with different
noise configuration: one with noises in configuration N1 and
one in configuration N2.
In each noise configuration each vertical line is related to the
output (% of cushion deployment) related to a specific video
frame timing. The step used is 3ms.
The procedure is repeated for each of the four vehicle’s
sections considered for evaluating the performance (n. 4,5
and 9,10).
Table 1
For each experiment an overall S/N and a β is calculated,
taking in account all the outputs (outputs of each time frame
and each path). The S/N is an index of robustness. The higher
the S/N, the more the system is doing what it is intended to
do, being less sensitive to noise factors. It measures the
quality of energy transformation that occurs within a design
[2].
S/N = useful output energy / harmful output energy[3]. The
slope of the output response (β) is the sensitivity of the input
signal to the output response.
Response tables are created by calculating the S/N and (β)
level averages for each control factor [3]. See fig. 14.
Figure 14. S/N and β(slope) response tables.
With the S/N response table is possible to identify the control
factor levels that maximize the S/N.
But together with the S/N ratio we want to maximize also the
performance of SABIC deployment, and that is related to the
slope of the ideal function, so the control factor must be
identified taking in consideration not only the effect on S/N
but also on (β), see fig.15.
Figure 15. Control factors selection
The outcome of this selection of control factor’s level is:
A3: Outboard roll+2vertzigzag
B3: diffuser center opening large size:
C2: diffuser: big opening towards the front
D3: large horizontal channel
E2: front delayed chamber
F2: w/o rear delayed chamber
G2: no rear post/pre fold
This selection of control factors permits to have the most
robust configuration for SABIC deployment.
The signal to noise ratio and the β of this configuration are:
S/N= -20.9 dB; β=2.17
The initial configuration of the system was:
A1: Outboard roll
B1: no diffuser center opening
C1: diffuser: same size lateral openings
D1: no horizontal channel
International Journal of Research in Advent Technology, Vol.7, No.7, July 2019
E-ISSN: 2321-9637
Available online at www.ijrat.org
9
doi: 10.32622/ijrat.77201903
E1: without front delayed chamber
F1: with rear delayed chamber
G1: with rear pre fold
The signal to noise ratio and the β of this configuration are:
S/N= -31.4 dB; β=1.03
The achievements of the optimized configuration respect
to the initial is: +34% on S/N and +111% on β: an important
improvement either for robustness and for performances.
XI. CONCLUSIONS
Current DFSS project proved that the airbag performance
can be stabilized (+34%) and fastened (+111%) with the
appropriate choose of design control factors. The most
effective control factor is cushion folding. Front and rear
chamber geometry, together with horizontal channel
geometry are also important for optimization, meanwhile all
the others control factors give small contribution.
These optimized control factors can be directly translated
in general design guidelines. Using optimized guidelines is
possible to achieve a robust response during first validation
tests (static activations and crashes), reducing SABIC
development timing and risks.
REFERENCES
[1] Feng, B., Coleman, D. ―Gas Dynamic Simulation of Curtain Airbag
Deployment through Interior Trims‖, 10th
International LS_DYNA
Users Conference, Detroit, 2008
[2] Alwerfalli, D., Lash, T., ―Design For Six Sigma (DFSS) as a Proactive
Business Process‖, Proceedings of the 2012 International Conference
on Industrial Engineering and Operations Management. Istanbul,
Turkey, July 3 – 6, 2012
[3] Yuin Wu, Alan Wu. ―Taguchi Methods for Robust Design‖, ASME
PRESS, 2000.
[4] Genichi Taguchi, Subir Chowdhury, Yuin Wu. ―Taguchi’s Quality
Engineering‖, ASI Consulting Group, LLC Livonia, Michigan.
AUTHORS PROFILE
Claudio Guerra, Mechanical Engineer, M.D. at
Politecnico di Turin, with 13years experience in passive
safety engineering within Fiat Chrysler Automobiles and
Maserati. He has been Italian Member in workgroup:
CEN/TC212/WG4: ISO 14451 - Pyrotechnic articles for
vehicles (2013). Currently is Design Responsible for Seat
Belts and referent expert for Gas Generators technology within FCA Emea
He is DFSS GreenBelt qualified, with two main internal released studies
about Improved Steer. Wheel quality perception and Horn system
optimization and several studies related to airbag performance.
He is also Reactive GreenBelt qualified for problem solving: main studies
are related to IP door integrity with Passenger Airbag cold deployment, Horn
activation system issue on Driver Airbag and Radio switches issue on last
generation Steering wheel.
Second Author Nicola Leomanni, Mechanical Engineer,
M.D. at Politecnico of Turin with also a Master Degree in
Mechanical Engineering at the University of Illinois,
Chicago (Graduation Date May 2006) with a monography
on ―Modeling And Identification Of Mistuned Blisks‖ in
collaboration with Avio-GE.
He had a short experience in Accenture (2006-2007) as on-site consultant for
a spare parts innovation program.
He has +10years experience in passive safety design (2007 on) within Fiat
Chrysler Automobiles Company and Maserati.
He has been design responsible for lateral airbags and he is currently
responsible for the entire restraints perimeter in Fiat Chrysler Automobiles
for the EMEA Region, including all airbags, seatbelts and steering wheel
components.
He is Black Belt Design For Six Sigma (ASI Consulting Group certification)
since July 2017: his most important internal studies relate to lateral airbag
performance and reduced package designs.

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77201903

  • 1. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 4 doi: 10.32622/ijrat.77201903  Abstract— When Curtain Side Airbags are validated in real environment, a great variability in deployment behavior and performance is observed and many optimization loops are executed to mitigate that variability, with potential extra costs and time delays. The present study analyzes the Curtain Airbag performance in order to develop design best practices able to reduce the variability of his behavior and maximize the performance of his deployment. To achieve this goal the DFSS methodology has been applied and ad hoc experimental parameters have been identified to evaluate Curtain Airbag behavior. Noise factors and control factors have been defined and experimental testing has been executed to evaluate the contribution of each control factor to the overall performance. Finally, control factors that maximize the Signal to Noise ratio and the airbag performance have been chosen and translated into engineering best practices. Index Terms— SABIC; DFSS; Robust Engineering; Airbag Deployment I. INTRODUCTION Curtain Airbag, commonly known as Side Airbag Inflatable Curtain (SABIC), is an airbag which deploys on each side of the vehicle in order to prevent fatal injuries to the occupant head, particularly for lateral impact accidents. In real life environment the SABIC has to properly deploy inside a complete vehicle system, interacting with a high number of components (i.e. headliner, ramp brackets, trims, absorbers). The interaction with surrounding parts, with their own tolerances, may have influence on bag deployment and trim integrity and at the end, on customer protection. Moreover, the SABIC has to maintain a stable response and positioning with different environment conditions (such as temperature), wearing and aging status. Usually, intensive hardware tests have to be conducted to ensure clean deployment of the curtain airbag through trim when the prototype trims parts are available. [1] All these factors contribute to make the development process of a SABIC for a new vehicle very complex and sensible to late changes in the design, also due to the fact that final design freeze is possible only with the availability of vehicles with a status very close to final production. Manuscript revised on July 02, 2019 and published on August 10, 2019 Claudio Guerra, Emea Product Development, , FCA Italy, Email: claudio.guerra@fcagroup.com1 nicola.leomanni@fcagroup.com2 Nicola Leomanni, Emea Product Development, , FCA Ital. Email: nicola.leomanni@fcagroup.com2 II. OBJECTIVES It has been applied a ―DFSS‖ methodology with the following target: develop robust design best practices that permit to reduce variability of airbag deployment behavior, minimizing the sensibility of the airbag to external factors (noises). Robustness in DFSS is defined as ―the state of performance where the technology, product, or process is minimally sensitive to factors causing variability at the lowest possible cost.‖ [2] III. DFSS METHOD Dr. Taguchi’s DFSS method follows the IDDOV – Identify, Define, Develop, Optimize, and Verify – process. In this paper the focus is on the Optimize phase. The purpose of the Optimize Phase is to develop the product to be robust. Robust optimization uses orthogonal arrays to conduct efficient experiments that are balanced. [2] The key of the Optimize Phase is the parameter design process. In the parameter design the aim is to measure and optimize the variability and efficiency of the energy transformation of the system in consideration. [4] IV. PARAMETERS IN SCOPE OF THE PROJECT Only parameters that are directly related to cushion design are within the scope of the activity; all the others such as inflator performances, interiors trims designs and Body-in-white design are considered out of scope. V. TESTING PROCEDURE AND IDEAL FUNCTION In order evaluate the performances of the SABIC the vehicle has been virtually divided in a number of different vertical paths. For each paths, the amount of vertical displacement of the cushion during time is the function that describes the system performance. The ideal function for the system is linear: Y (output response) = β x M (input signal) Y= % of cushion displacement M= time (ms) Β = slope of the output response. To get a plot of the function in the real environment through the analysis of SABIC deployment videos, the percentage of SABIC deployment has been recorded at 1ms step, describing the speed of the vertical cushion displacement in each section of the vehicle. Curtain Airbag design for Robust Deployment Claudio Guerra, Nicola Leomanni
  • 2. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 5 doi: 10.32622/ijrat.77201903 To evaluate the percentage of SABIC deployment along each specific path, the amount of cushion deployed in the video frame has been measured by software, setting the zero at the headliner lower profile (before airbag activation). Then this amount of cushion deployed has been compared to the total amount (airbag fully deployed) to get the percentage for each step, see fig. 1. Figure 1. Deployed cushion measurement VI. PRELIMINARY TESTING ON CURRENT SCENARIO Preliminary tests on current production vehicle have been executed. The outcome of the testing was useful also to validate measurement procedure for reproducibility and repeatability. For the testing, a B-segment SUV vehicle and n.10 different paths have been chosen. In order to have a visible reference, the Body in white has been marked with properly spaced red dots. These references have been used to define the vertical paths in the position judged as more valuable, see next fig 2. : Figure 2. Vertical paths definition Some static SABIC deployments tests has been recorded and the typical result is plotted in fig.3. Figure 3. Preliminary testing results It is evident that the rear paths (from n.10 to n.7) are significantly faster than the average. Meanwhile the front paths (from n.3 to n.1) are significantly slower than the average. This indicated that the coverage speed of the airbag cushion is not balanced, creating areas in which the cushion deployed in advance respect to other areas, forcing the engineers to increase gas generator output to reach proper cushion coverage also in the slower areas. VII. SET UP FOR DEFINITIVE TESTING In order to manage and to optimize the big amount of experimental data it has been decided focus only on the portion of cushion that really influences the safety performance: the first impact regions of the occupant’s head on side crash. Referring to the n.10 paths of the preliminary testing the important paths to be recorded are n. 4,5 and 9,10. See fig. 4. Figure 4. Paths correlated with head impact position VIII. NOISE FACTORS According to DFSS methodology, these are the factors that are outside the control of the designer, due to either practical or economic reasons, such as environmental condition or aging of materials. [3] All ―noise‖ effects produced by real environmental are very difficult to be reproduced in numerical simulations, particularly in the initial phase of an airbag development. Creating an accurate model of a folded airbag is a challenge, even with the latest improvements of the corpuscular particle method (CPM) [1]. Therefore, standard design methodology is based on previous lessons learned without a systematic approach and without knowing which design feature is really affecting robustness of the deployment. Consequently, many modifications in late project phase can occur, even close to the vehicle launch. Noise factors are chosen that will likely cause the system to perform at lower levels of performance. The noise strategy is to compound these factors together to introduce maximum variation. For each noise factor, two levels (N1 and N2) were
  • 3. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 6 doi: 10.32622/ijrat.77201903 defined: with a LOW (N1) and a HIGH (N2) effect on system output response. Low and High effects have been identified by engineering experience or in case of doubt with dedicated experiments. Noise factors taken in consideration are: A) Headliner overlapping in the trim pillars: This factor represents the variability in the tolerance of overlapping between headliner edge and pillars trim edge, see fig.5: N1: maximum overlapping (10mm) N2: minimum overlapping (6mm) Figure 5. Overlapping between Headliner and trims B) Aging condition of the SABIC: N1: aged condition simulating 15 years life. N2: new condition; C) Cushion positioning under trim: This factor represents the variability in the distance between Body in White (B.I.W.) and cushion pack in rest position (see fig. 6): N1: 10mm distance. N2: cushion package in contact to body in white Figure 6. Distance between cushion pack and B.I.W. D) Number of clips for A pillar Trim fixation. This factor represents the variability in typical design for the number of retention point for the A pillar trim (see fig. 7): N1: 3 clips. N2: 2 clips. Figure 7. A - Pillar clips positions E) Temperature of environment during airbag deployment: N1: cold condition (-20°C) N2: room temperature (23°C); IX. CONTROL FACTORS Control factors are those design and process factors that can be selected and fixed to a certain level after Parameter Design. [3] For our purpose control factors are the parameters that can be used in airbag design in order to optimize the deployment, and they are defined with precise levels. In the control factor description, dimensions have not been indicated, due to company intellectual property. The Control Factors taken in consideration are: A) Cushion folding: The basics cushion folding used for the SABIC are zig-zag and roll folding. With zig-zag folding the cushion is folded in an accordion pattern, in the roll folding the cushion is rolled on itself. With combination of this two basic folding patterns is possible to create many different types of cushion folding. Here six types are evaluated, corresponding to following levels: A1: Roll outboard A2: n.1 Vertical zig zag + roll A3: n2 Vertical zig zag + roll A4: Roll inboard A5: n1 Horizontal zigzag + roll A6: n2 Horizontal zigzag + roll B) Internal diffuser central opening geometry: The internal gas diffuser is a fabric structure sewed inside
  • 4. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 7 doi: 10.32622/ijrat.77201903 the cushion that can deflect the exit gas from Inflator in predefined directions through lateral and central openings. Three types of diffuser central openings are evaluated, corresponding to following levels (see fig.8) B1: No opening B2: small opening B3: big opening Figure 8. Diffuser central opening C) Internal diffuser lateral openings, see fig. 9. Three types of diffuser lateral openings are evaluated, corresponding to following levels (see fig..) C1: same size openings C2: ratio>1 (front diffuser opening bigger than rear) C3: ratio<1 (front diffuser opening smaller than rear) Figure 9. Diffuser lateral openings Control factors D, E and F: are related to cushion shape and design: D) bottom horizontal channel connecting front camera with rear camera: Three types of horizontal channels are evaluated, corresponding to following levels (see fig10) D1: no channel D2: small channel D3: large channel Figure 10. Horizontal channel E) Front cushion design Three types of front designs are evaluated, corresponding to following levels (see fig11): E1: without delayed chamber E2: with delayed chamber E3: with ―twister‖ shaped chamber Figure 11. Front cushion design F) Rear cushion design Three types of rear designs are evaluated, corresponding to following levels (see fig12): F1: with delayed chamber F2: without delayed chamber F3: with ―twister‖ shaped chamber Figure 12. Rear cushion design G) Additional rear folding: Folding around a vertical line on the rear chamber executed before or after the complete folding of the cushion: Three types of rear folding designs are evaluated, corresponding to following levels (see fig11): G1: Prefold G2: None G3: Postfold
  • 5. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 8 doi: 10.32622/ijrat.77201903 Figure 13. Rear pre/post folding X. TESTING EXECUTION A proper orthogonal array is selected according to how many different control factors and levels are needed for the experiments. In this case an L18 approach has been used with n.1 six levels control factor and n.6 three levels control factors, see table1. Each row of the array represents 2 experiment with the same control factors but with different noise configuration: one with noises in configuration N1 and one in configuration N2. In each noise configuration each vertical line is related to the output (% of cushion deployment) related to a specific video frame timing. The step used is 3ms. The procedure is repeated for each of the four vehicle’s sections considered for evaluating the performance (n. 4,5 and 9,10). Table 1 For each experiment an overall S/N and a β is calculated, taking in account all the outputs (outputs of each time frame and each path). The S/N is an index of robustness. The higher the S/N, the more the system is doing what it is intended to do, being less sensitive to noise factors. It measures the quality of energy transformation that occurs within a design [2]. S/N = useful output energy / harmful output energy[3]. The slope of the output response (β) is the sensitivity of the input signal to the output response. Response tables are created by calculating the S/N and (β) level averages for each control factor [3]. See fig. 14. Figure 14. S/N and β(slope) response tables. With the S/N response table is possible to identify the control factor levels that maximize the S/N. But together with the S/N ratio we want to maximize also the performance of SABIC deployment, and that is related to the slope of the ideal function, so the control factor must be identified taking in consideration not only the effect on S/N but also on (β), see fig.15. Figure 15. Control factors selection The outcome of this selection of control factor’s level is: A3: Outboard roll+2vertzigzag B3: diffuser center opening large size: C2: diffuser: big opening towards the front D3: large horizontal channel E2: front delayed chamber F2: w/o rear delayed chamber G2: no rear post/pre fold This selection of control factors permits to have the most robust configuration for SABIC deployment. The signal to noise ratio and the β of this configuration are: S/N= -20.9 dB; β=2.17 The initial configuration of the system was: A1: Outboard roll B1: no diffuser center opening C1: diffuser: same size lateral openings D1: no horizontal channel
  • 6. International Journal of Research in Advent Technology, Vol.7, No.7, July 2019 E-ISSN: 2321-9637 Available online at www.ijrat.org 9 doi: 10.32622/ijrat.77201903 E1: without front delayed chamber F1: with rear delayed chamber G1: with rear pre fold The signal to noise ratio and the β of this configuration are: S/N= -31.4 dB; β=1.03 The achievements of the optimized configuration respect to the initial is: +34% on S/N and +111% on β: an important improvement either for robustness and for performances. XI. CONCLUSIONS Current DFSS project proved that the airbag performance can be stabilized (+34%) and fastened (+111%) with the appropriate choose of design control factors. The most effective control factor is cushion folding. Front and rear chamber geometry, together with horizontal channel geometry are also important for optimization, meanwhile all the others control factors give small contribution. These optimized control factors can be directly translated in general design guidelines. Using optimized guidelines is possible to achieve a robust response during first validation tests (static activations and crashes), reducing SABIC development timing and risks. REFERENCES [1] Feng, B., Coleman, D. ―Gas Dynamic Simulation of Curtain Airbag Deployment through Interior Trims‖, 10th International LS_DYNA Users Conference, Detroit, 2008 [2] Alwerfalli, D., Lash, T., ―Design For Six Sigma (DFSS) as a Proactive Business Process‖, Proceedings of the 2012 International Conference on Industrial Engineering and Operations Management. Istanbul, Turkey, July 3 – 6, 2012 [3] Yuin Wu, Alan Wu. ―Taguchi Methods for Robust Design‖, ASME PRESS, 2000. [4] Genichi Taguchi, Subir Chowdhury, Yuin Wu. ―Taguchi’s Quality Engineering‖, ASI Consulting Group, LLC Livonia, Michigan. AUTHORS PROFILE Claudio Guerra, Mechanical Engineer, M.D. at Politecnico di Turin, with 13years experience in passive safety engineering within Fiat Chrysler Automobiles and Maserati. He has been Italian Member in workgroup: CEN/TC212/WG4: ISO 14451 - Pyrotechnic articles for vehicles (2013). Currently is Design Responsible for Seat Belts and referent expert for Gas Generators technology within FCA Emea He is DFSS GreenBelt qualified, with two main internal released studies about Improved Steer. Wheel quality perception and Horn system optimization and several studies related to airbag performance. He is also Reactive GreenBelt qualified for problem solving: main studies are related to IP door integrity with Passenger Airbag cold deployment, Horn activation system issue on Driver Airbag and Radio switches issue on last generation Steering wheel. Second Author Nicola Leomanni, Mechanical Engineer, M.D. at Politecnico of Turin with also a Master Degree in Mechanical Engineering at the University of Illinois, Chicago (Graduation Date May 2006) with a monography on ―Modeling And Identification Of Mistuned Blisks‖ in collaboration with Avio-GE. He had a short experience in Accenture (2006-2007) as on-site consultant for a spare parts innovation program. He has +10years experience in passive safety design (2007 on) within Fiat Chrysler Automobiles Company and Maserati. He has been design responsible for lateral airbags and he is currently responsible for the entire restraints perimeter in Fiat Chrysler Automobiles for the EMEA Region, including all airbags, seatbelts and steering wheel components. He is Black Belt Design For Six Sigma (ASI Consulting Group certification) since July 2017: his most important internal studies relate to lateral airbag performance and reduced package designs.