6.2.1 Two co-ordinate systems commonly 'are used
when discussing acceleration forces in free-fall lifeboats. The first
co-ordinate system is associated with the lifeboat. The X axis of
the lifeboat is the longitudinal axis. It is parallel to the keel
and is positive toward the bow. The Y axis is the lateral axis of
the lifeboat. It is positive to the port side. The vertical axis the
Z axis which is positive upward. These axes are shown in Figure 6.1.
Acceleration forces on the hull of the lifeboat are measured in this
co-ordinate system.
Figure 6.1 Lifeboat and Seat Coordinate Axes
6.2.2 The second co-ordinate system is associated
with the seats in the lifeboat. The x axis of the seat is perpendicular
to the chest and is positive to the front. The y axis is the lateral
axis. It is parallel to the shoulders and is positive to the left.
The seat z axis is parallel to the spine and is positive upward. These
axes, and common notation for referring to them, are presented in
Figure 6 2. The co-ordinate system associated with the seats in the
lifeboat is the co-ordinate system commonly used to discuss acceleration
forces in the Hybrid III dummy.
Figure 6.2 Coordinate Axes and Notation for Accelerations Acting on the
Body
6.2.3 An injury potential analysis considers acceleration
forces acting in the axes of the lifeboat seat because it is in these
axes the passengers experience the forces. The seats in a free-fall
lifeboat usually are reclined relative to the axes of the lifeboat
and are often rearward facing. Acceleration forces in the axes of
the lifeboat at a seat location can be transformed into the axes of
the seat at that location using the following transformation:

The quantities AX, Ay and AZ are
the acceleration forces in the axes of the lifeboat. The quantities
AX, Ay and Az are the acceleration
forces in the axes of the seat. The angle θ is the angle through
which the seat has been reclined as shown on Figure 6.1. The constant
k in Equation 6.1 is equal to unity if the seat is forward facing
and is equal to -1 if the seat is rearward facing. The subscript i
indicates the step in the time-history at which the transformation
is being performed; the transformation is performed at all steps in
the acceleration force time-history.