perm filename FORCAL.DAT[1,VDS]2 blob sn#217348 filedate 1976-05-23 generic text, type C, neo UTF8
COMMENT ⊗   VALID 00005 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002			JPL FORCE BALANCE - FOR CURV MANIPULATOR
C00006 00003			ELECTRICAL DETAILS
C00008 00004	CALIBRATION MATRIX: CURRENT TIME AND DATE: 14:07  22MAY76
C00011 00005	CALIBRATION DATA FOR JPL FORCE WRIST - CURV MANIPULATOR
C00024 ENDMK
C⊗;
		JPL FORCE BALANCE - FOR CURV MANIPULATOR


USEFUL INFORMATION

Load range.

Direction		force (lb)		Torque  (in-lbs)

   X			  30			   72
   Y			  30			   72
   Z			  50			   120


Construction Details

The force sensing  element is a single aluminum  piece, characterized
by four square beams cantelevered from a central hub simply supported
at their outer  end.  All  forces and torques  are supported by  beam
bending.  Tensile and compressive strains are less than 2% of bending
strain  at the gages.   Torsional strain is less  than 15% of bending
strain.

	Eight pairs of semiconductor strain gages  are mounted on the
sides of these beams  near the built in ends.  These matched pairs of
gages have gage factors of about 120.  All gage leads are brought out
to a terminal board where they  are paired and power supply leads are
commoned.  The gages are powered with a +- 2.5 vdc supply.  Ten wires
are required- + 2.5 vdc, - 2.5 vdc, and the 8 signal leads.

	The force balance  has been designed to that  maximum strains
will be about 1200  microinches per inch.  Thus with a gage factor of
120 the output will be about +- .36 volts.

	The amplifiers supplied  by JPL have  been set  up to have  a
uniform gain of 10.   This gives a maximum output of +-  3.6 vdc.  As
the peak strains are not uniform, this peak output varies from +- 2.0
vdc to +- 6  vdc depending on axis.   It is suggested  that amplifier
gains be left where they are for the time being.

	Overload  protection is provided  by a plate  mounted between
the force beams and the hand.  This  plate has a small gap in it  and
four pins.  The gap sets Z-force and X and Y moment limits, while the
pins set Z moment and X and Y force limits.

	The calibration matrix has been derived by putting test loads
on the force sensor.  The hand was in place while this was done.  All
measurements were  made on  a relative  basis.   This means  that the
unloaded  output was recorded,  and then the  loaded output recorded.
The differences were used in  the matrix solution.  All units  are in
pounds and inch-pounds.   As the amplifiers were  not zeroed for each
bridge, unloaded offsets exist.  All  measurements must be made on  a
relative basis.  It is suggested that  each operation be started with
a base measurement. 

	
		ELECTRICAL DETAILS


SIGNALS

GAGE NAME	LEAD COLOR	CHANNEL #	JPL #

1X		RED		0		8
1Y		BROWN		1		7
2X		PURPLE		2		6
2Y		GREEN		3		5
3X		WHITE		4		4
3Y		GREY		5		3
4X		YELLOW		6		2
4Y		ORANGE		7		1


--------------------------
|                        |
---         Y          ---
  |        ---         |
  |    X  |   | X      |           SIDE VIEW OF FLEXURE UNIT 
  |       |   |        |		END VIEW OF A BEAM
---        ---         ---
|           Y            |
--------------------------


All gages are paired.  Thus gage pair 1X consistes of the two X gages on beam #1.

				   ___       ___
Gages are wired this way.  +2.5---| X |--.--| X |--- -2.5
                                   ---   |   ---
					 |
					OUT


Principal gage pairs are:

Force 		Principal gages    Sign of signal

+X		3X(+),1X(-)
+Y		2X(+),4X(-)
+Z		1Y,2Y,3Y,4Y (+ towards wrist and arm)

Moment about axis

+MX		1Y(+),3Y(-)
+MY		2Y(+),4Y(-)
+MZ		1X,2X,3X,4X (+)

CALIBRATION MATRIX: CURRENT TIME AND DATE: 14:07  22MAY76

FORCES GIVEN IN LBS. AND MOMENTS IN UNITS OF INCH-LBS.

ROW 1:
  -.3842216@-1      .7738081@-3     -.1980125@-3      .2643359@-2   
   .3910925@-1      .9296865@-3      .2450492@-3      .1941004@-2   

ROW 2:
  -.2212931@-3      .2937272@-3      .3921106@-1     -.6701423@-3   
   .1410366@-2      .4863639@-3     -.3878679@-1      .1571425@-2   

ROW 3:
  -.1230674@-2      .2637714@-1      .1738579@-2      .2676672@-1   
   .1623723@-2      .2664726@-1      .2004941@-3      .2645674@-1   

ROW 4:
   .1823379@-2      .4318801@-1     -.8740230@-4      .1541083@-2   
   .1055043@-2     -.3885803@-1     -.2136039@-2      .1147877@-2   

ROW 5:
   .2132998@-2     -.1207303@-2      .4674648@-3     -.4275645@-1   
  -.2940330@-2     -.1396479@-2      .5432162@-3      .3994823@-1   

ROW 6:
   .3111507@-1     -.3894525@-2      .4818625@-1      .1130393@-3   
   .4628459@-1      .3162766@-2      .2960590@-1      .1115819@-2   



THE FOLLOWING MATRIX EQUATION TOGETHER WITH THE CALIBRATION MATRIX
GIVEN ABOVE CAN BE USED TO RESOLVE THE FORCES AND MOMENTS:


		F ← M * ε

	where
				       T
		F = (FX,FY,FZ,MX,MY,MZ)
		  =  force/moment vector

		M = calibration matrix shown above

					     T
		ε = (ε1,ε2,ε3,ε4,ε5,ε6,ε7,ε8) 
		  = difference in strain gage readings
CALIBRATION DATA FOR JPL FORCE WRIST - CURV MANIPULATOR

FORCE/MOMENT OF 0 4.4 0 3.3 0 0
CURRENT TIME AND DATE: 13:35  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
    -9.00    52.60   100.00    24.00    37.00   -12.00   -19.00    58.00
    -4.00    38.60    50.00    -1.00    -3.00   -39.00   -63.20    -1.00
      .00      .52      .00      .00      .00      .00      .00      .00


FORCE/MOMENT OF 0 0 4.4 0 0 0
CURRENT TIME AND DATE: 13:38  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
    -2.30    52.00    50.00    64.00    36.00    72.00    46.00   103.00
     2.70    38.00      .00    39.00    -4.00    45.00     1.80    44.00
      .48      .00      .00      .00      .00      .00      .00      .00


FORCE/MOMENT OF 0 4.4 0 30.58 0 0 
CURRENT TIME AND DATE: 13:44  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
    16.00   388.00   104.00    22.00    63.00  -339.80   -15.00    54.00
    21.00   374.00    55.00    -3.00    23.00  -366.80   -59.00    -4.00
      .00      .00      .00      .00      .00      .42      .00      .00


FORCE/MOMENT OF 4.4 0 0 0 -30.58 0
CURRENT TIME AND DATE: 13:49  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
   -58.30     9.00    51.00   391.00    93.00    25.00    26.00  -309.00
   -53.30    -5.00     1.00   365.00    54.00    -2.00   -18.00  -368.00
      .48      .00      .00      .00      .00      .00      .00      .00


FORCE/MOMENT OF 4.4 0 0 0 -3.3 0
CURRENT TIME AND DATE: 13:55  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
   -66.10    12.00    44.00    62.00    91.00    24.00    38.00    22.00
   -61.10    -2.00    -6.00    36.00    52.00    -3.00    -6.00   -37.00
      .32      .00      .00      .00      .00      .00      .00      .00


FORCE/MOMENT OF O 4.4 0 4.62 0 18.48
CURRENT TIME AND DATE: 14:02  22MAY76
Strain Gage Readings: Mean, Corrected Mean, Standard Dev.
  -128.00    73.00   -17.00    26.00   -81.00   -25.00  -141.00    60.00
  -123.00    59.00   -67.00      .00  -120.00   -52.00  -185.00     1.00
      .00      .00      .00      .00      .00      .00      .00      .00