73
3.3.3 Mechanical Modeling of Airbag
This section describes the mechanical characteristics of the airbag used for SnS
2
. This
section  discusses  the  mechanical  model  and  the  physical  principles  of  the right
and left airbag. Each airbag comprise of four air cells that are interconnected with
each  other.  The  air  cell  size  is  affected  by  the  head  pressure  from  the passenger’s
head.  A  mechanical  model  is  created  to  predict  the  mechanical behavior
of  the  airbag.  The  developed  mechanical  model  is  referring  to  the mathematical
model  that  was  developed  by  Ofori‐Boateng  2003.  The  study defines
the  physical  characteristics  of  air  inflated  cushions  for  heavy  truck  seat. The
air  inflated  cushion  has  many  air  cells  that  are  interconnected  with  each other.
Besides,  the  mathematical  model  considered  driver’s  weight  as  one  of factors
that  affect  the  air  cell  size.  There  were  some  similarities  in  mechanical characteristics
for the air inflated cushion and the airbag of SnS
2
such as air cell and
loading factor. The
Mechanical Characteristics of Airbag
The airbag in this study is a prototype that is used to support the neck as well as
to reduce SCM stress. The neck support includes interconnected airbags to allow
for the  airflow  between  the  bags.  The  interconnections  also  allow  for  the  neck
support to support and rotate the passenger’s head near to the seat centre when
the passenger is in a contact position for some time. The mechanical model of the
airbag can be used to design an airbag that is reliable and able to withstand the
passenger head pressure.
The
Mechanical Modeling of Airbag
The behavior of the airbag can be modeled in a simplified schematic as shown in
Figure 3.17. The force that is caused by the weight of the supported head is equal
to the increased pressure in the airbag.
74
Figure 3.17 The schematic of the forces that act on the single airbag.
As illustrated in Figure 3.17, the total force that acts on the airbag is derived as:
1 1
1
A P
g m
A P
g m
F F
atm head
air airbag
× −
× −
× +
× =
∑ =
4.2 Where,
F
airbag
m
air
g P
1
A
1
m
head
P
atm
= =
= =
= =
= force
on airbag N mass
of air in airbag kg gravitational
force Nm
2
Kg
‐2
pressure of air in airbag Nm
‐2
area in airbag m
2
mass of passenger’s head kg
atmospheric air pressure Nm
‐2
75 The
airbag  prototype  is  rectangular  in  shape;  the  volume  of  the  airbag  is described
as
V
supported
= l x w h ‐ x
4.3 Where,
V
supported
l w
h x
= =
= =
= Volume
of airbag when supporting head m
3
Length of airbag m
Width of airbag m
Height of airbag m
Height difference of airbag m
3.4 THE TOTAL DESIGN OF A SMART NECK SUPPORT SYSTEM