Table of Contents
FP Type 7
A Type 7 force platform records information according to its four corners, which are named 1, 2, 3, and 4.
Channels and CalMatrix
A Type 7 force platform records 8 ANALOG channels containing the following information:
[Original Analog] = [Fx12_original, Fx34_original, Fy14_original, Fy23_original, Fz1_original, Fz2_original, Fz3_original, Fz4_original]
A Type 7 force platform also includes an 8×8 CalMatrix (or an Inverse Sensitivity Matrix) such that:
[Fx12, Fx34, Fy14, Fy23, Fz1, Fz2, Fz3, Fz4]= [CalMatrix][Tared Analog]
Calculating the Force Signals
Calculating the desired force signals in the force platform's coordinate system consists of the following steps:
- Compute baselines by averaging the analog signals for the specified FP_ZERO frames
- Subtract each channel's baseline from its recorded signal
- Calculate the Ground Reaction Force
- Apply a threshold
- Transform the signals into the Laboratory Coordinate System
Force Vector
The Force vector for a Type 7 force platform is calculated as follows:
Force[X] = Fx12+Fx34 Force[Y] = Fy14+Fy23 Force[Z] = Fz1+Fz2+Fz3+Fz4
Compute Centre of Pressure
The COFP signal for a Type 7 force platform is calculated as follows:
COP[X] = ((az0*Force[X] - M[Y])/Force[Z]) + a COP[Y] = ((M[X] + az0*Force[Y])/Force[Z]) + b COP[Z] = az0
Where
a = Origin[X] b = Origin[Y] az0 = Origin[Z] M[X] = b*( Fz1 + Fz2 - Fz3 - Fz4) - az0*(Fy14 + Fy23) M[Y] = a*(-Fz1 + Fz2 + Fz3 - Fz4) + az0*(Fx12 + Fx34) M[Z] = b*(-Fx12 + Fx34) + a*(Fy14 + Fy23)
Compute Free Moment
The FreeMoment signal for a Type 7 force platform is calculated as follows:
FreeMoment[X] = 0 FreeMoment[Y] = 0 FreeMoment[Z] = M.Z - (COP[X]-a)*Force[Y] + (COP[Y]-b)*Force[X]
Transforming Signals into the Laboratory Coordinate System
The transformation is defined by the location of the force platform corners, and is common to all force platforms.