A method for valve height measurements
Citation for published version (APA):
Couweleers, G. C. A. (1988). A method for valve height measurements. (TU Eindhoven. Vakgr. Transportfysica : rapport; Vol. R-953-D). Technische Universiteit Eindhoven.
Document status and date: Published: 01/01/1988 Document Version:
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A METHOD FOR VALVE HEIGHT MEASUREMENTS
FRED COUWELEERS
November 1988
Begeleiders: P. Smulders
H. Cleijne
R 953 D
WIND
ENERGY GROUP
Technical University Eindhoven
Faculty of Physics
Laboratory of Fluid DYnamics and Heat Transfer
P.O. Box 513
5600 MB
Eindhoven. the Netherlands
Consultancy Services
Wind Energy
Developing Countries
p.O.box 85 3800 ab amersfoort hollandCONTENTS page 1 2 3 5 6 7 8 12 13 13 14 15 19 23 24 (numeric) Annex A: Calculation of h and
a
m Annex B: Results of calibration
Results of calibration (graphical) Results of tests (statical)
Annex C: Results of test with x-t writer
stability test, amplifier test, switch on test Annex D: Results of droptests
Annex E: Resul t of measurements during pump stroke Annex F: Program listing MRS-MEET and manual
Annex G: Program listing CALIBRAT and manual Summary
Contents
List of symbols
Chapter 1 Introduction 1.1 Introduction
1.2 Results of previous work 1.3 Theory
Chapter 2 Static calibration 2.1 Experimental setup
2.2 Calibration
2.3 Results of calibration 2.4 Statical test
Chapter 3 Dynamic measurements 3.1 Introduction
3.2 Experimental setup
3.3 Initial dynamic measurements 3.4 Results of drop tests
3.5 Measurements in a pump Discussion
SUMMARY
This research report concerns a method (developed earlier) to
determine
the position of a valve in a single action piston pump. The method
uses
a transducer with three magnetoresistive sensors (which detect
magnetic
field variations) and a valve with a built in permanent ring magnet.
This configuration meets the requirements (wide frequency
range,
water
proof, 10 mm height range) and is calibrated with respect to
parameters
h
m
(height of the valve's centre),
e
and
tp(spherical coordinates
of
a
vector perpendicular to the
valve's
plane),
with
which
the
valve's
position can be described.
Because the ring magnet was not homogeneous and the valve
could
shift,
it was not possible to determine the valve's
POStLion.
It was found that the valve's centre height was linearly proportional to
the sensors'
avera(!eoutput voltage. Tests show that the height
can
be
approximated using this linearity (error
~0.2 mm).
Two ASYST programs were written for measurement of
the
valve's
height
and for calibration. With these programs
a
number
of
dynamic
height
measurements were performed: drop tests, the results of which agree with
theory, and measurements of valve height during a pump stroke.
LIST OF SYMBOLS
[mm] height
vector perpendicular to plane of valve spherical coordinates of vector m
constant of gravitation friction coefficient magnetic field strength isotropic resistivity
heights of adjusting screws voltage calculated height h, x m
a,
f{> H P hi' h2, h3 V h'e
1e
2 t Fg F f m g k indices: [A/m] [Q] [mm] [V] [mm] [V/mm] [mm] [sec] [N] [ N] [kg] [m/s2] [kg/s] o parameter of 1inear output voltage idem time force of gravitation force of friction mass at beginning relation h vs average m e at endgem average of three sensor outputs sensor x
Chapter 1: INTRODUCTION
1.1 Introduction
Part of the work at the Windenergy group is dedicated to waterpumping windmills. They are used allover the world, but especially in developing countries as an important substitute for systems which require fossil fuels.
Because they are used in these countries they have to meet a number of requirements. They have to be cheap and reliable, have a high efficiency and one must be able to repair them with the means available there. In general it is impossible to design a configuration that completely meets all these criteria, it is a compromise.
Often single action piston pumps are used in these systems (fig 1).
istonvalve
footvalve
Fig 1 Outline of single action piston pump
The valves in these pumps move passively, 1.e. their motion is controlled by the flow of the liquid only. Valve motion is related to pump rod forces. These forces are important Whf..il reliabil i ty is
concerned ( large pump rod forces wi 11, in time, destroy the pump). In order to minimize these forces it is necessary to know about valve motion. To check the existing models for this motion, actual measurements have to be done. The measurements are concentrated on the piston valve.
1.2 Results of previous work
During his traineeship B.J. van der Ceelen developed a method and built a transducer to measure valve position: [CEE88].
,
,
/
I
Fig 2 Draught of transducer
I
. I
I_~-,- ,
,
\ .
The method uses the transducer in fig. 2 and a valve with a built-in permanent ring magnet. The sensors in the transducer detect variations of the magnetic field normal to the direction of current.
Because the sensors' outputs are dependent on both the magnetic field strength and the direction of the field, i t should be possible to measure the valves position (actually the ring magnets position).
0,75
1,0 H1HO
-0,75
Fig 3 The sensors are made of permalloy strips, a material that changes
its resistivity in the presence of a magnetic field, and
processed in such a way as to linearize the resistivity
as a function of magnetic field (linearity error ::s 3 7. full
scale, see specifications)
..
,
I,
T_-.n"
~
I 'r" IJ~
,
~,
III,
"
I ~,
I II I,
I I I I I I,
,
I 'A I 1/1 I 1/'1 I ~,
~!/', I V -I,
,--n n -00 -.0 u .., "'wIU/ ... ,
Fig 4 Temperature dependence of sensors (temperature coefficient of
1.3 Theory
The valves position can be described by three parameters, when we assume that the ring magnet is homogeneous and that the shift relative to the axis is negligible. These parameters are: h (the height of the
m
valves center relative to the piston),
a
and ~ (two~pherical coordinates of a vector m that is perpendicular to the plane of the valve).If
the ring magnet is homogeneous, a rotation relative to m will have no effect. When the shift is negligible, the z- and z'-axis will be the same (origin 0 is the center of the base or piston, origin 0' is the center of the valve).z
X'
x
Fig 4 Orientation of valve, the pumprod is the z-axis, the x-y-plane is the piston or the base
Chapter 2: STATIC CALIBRATION
2. 1 Experimental setup
The calibration of this method was carried out with the device shown in fig. 5.
5
6 o
sigr.al and supply Jines
2. transducer .. 1th MRS
valv~gUide
vaJ',e withbuilt-in ring aagnet basis
l':.8,9: adjust 1ng screws f'-jndicator
pUMp rod
Fig 5 calibration device
c
e
a: valve with built-in ring magnet b:transducer
c:supplyand amplifier d:digital multimeters e:x-t writer
Fig 6 experimental setup
The height h and angle
e
can be set using the three adjusting screwsm
(h, h and h are the heights of the screws in mm, measured with
1 2 3 caliper gauge). hm
=
h + h + h 1 2 3 3 (1) .; 3( h -h )2+ (h -h +h -h )2+ 3600 1 2 3 1 3 2 cose
=
60 (2)The angle ~ can be set using the scale division on the base.
2.2 Calibration
The valve height was increased with steps of 1 mm, from 3 to 10 mm. At each height the output voltages at
e
=
00 and ~=
00 are determined. At these heights (except for h=
10 mm) the output voltages are alsom
. 0 0 0 0 0 0 0
determIned at
e
=
2,5 and ~=
0 , 60 , 120 , 180 , 240 and 300 .Furthermore at h
=
8 mm the output voltages are determined at fivem
angles
e:
10, 20, 30, 40 and 50 (each time at the six angles ~ mentioned above) .The output voltages that were measured were actually the maximum and minimum values each sensor could have at one position (described by h ,
m
e
and ~). This was due to the fact that the ring magnet proved not to be homogeneous. A rotation relative to m affected the output voltages. The valve centre could shift relative to the axis of the device. This also affected the output voltages.By shifting and rotating the valve a max. and min. output voltage of each sensor can be determined.
2.3 Results of calibration
h~l
(mm)
~l
21
I I I I
..
V,SQ.nSDr1 (11/)0 0,2- o)~ o){, 0,8 i,o 1,1 1 ,4 1)
t.
Fig 7 Graph of h vs V (max / min, 9
=
0°)m sensor 1
These voltages are plotted vs the adjusted valve height (fig. 7). The difference between max. and min. output voltage at one height is about
0,1 Volt.
At 9
=
2,50 this difference increases as the height increases, due to a geometrical effect.o
Fig 8 Graph of V vs ~ (max / min, 9
=
2,5 ,°
h=
7 mm)sensor 1 m
The plot of sensor output vs rp (fig 8) shows that the voltage varies with rp as a cosine. The amplitude of this cosine is determined by
e
(aso 0
follows from the measurements at h = 8 mm and
e
= 1 upto 5 ) and them
distance from ring magnet to sensor.
... _ _ _ _ _ _ _ _ _ _ _ _4 ' • • j " " . l -~ -. I-_·~:·-t ._-~-_:- ....:."---_.:..--_._~ • • + - •.,j ~ . - l . : I
-- ;- -
--;_:~-~;~-~-;
}-->-j
li
.
;
- ! . . !2.
L----L_.-.._-..._-'--_£..---L_---'-_--l--"':'".-~.
--+:.
··.·:~~I~+1J
o 0,2.o,~
0,6 0)8 .ftO",2
1,1.1",'-,---.-,-'.",-'::"1
h
m (mrn)B
Fig 9 Graph of h vs V (max/min,
e
=
2,5°)m
sensor 1The val ues in this plot are
o 0
(at rp
=
60 and rp=
240 , Fig. 9 shows the plot of h vs Vm sensorl the absolute minimum and maximum values respectively) .
Because of this difference in sensor output voltages it is impossible to determine the exact position from the measured outputs.
However, the output voltages were somewhat correlated. If one sensor has its max. output voltage, the other two don't have max. outputs. This suggests that the average output voltage can be a means of determining the valves centre height (on averaging the sinellke functions cancel since cos(rp - 240) + cos(rp - 120) + cos(rp)
=
0).This result in two linear relations: hm
=
7,23 Vgem - 2,35 ate
=
00 hm
=
7,26 Vgem - 2,34 ate
=
2,50These relations differ only slightly. Summarizing we can say that h is
m
linealy proportional to V (the average output voltage). The height of gem
the valves centre can be found by averaging the sensor output voltages, independent of
a
or I{J. This method meets two of the requirements in[CEE88]: it is non contacting and the linearity is valid in a range upto 10 mm. '.''T'" I': _... ~;;.. Vs~,:':-c: volt~~ (v) O.q 0,6
0.'
0,'Since ambient temperature isn't constant, the outputs of the sensors (temperature dependent sensitivity) aren't constant either. Using the x-t writer two sensor output voltages are monitored for 75 hours
o (h
=
0 mm,a
=
0 ). m 01 ~,1 I 1 tirMo
j 11) B l,e 1$ 30 3~ •(I>-....,,)Fig 10 Output voltages vs time at h
=
0 mm anda
=
00m
The output voltage could vary over a range of about 20 mV (fig. 10). This temperature effect is also present when the supply of the transducer is swi tched on. The sensors are somewhat heated and finally reach thermal balance with the surroundings. This process was monitored for 1 hour using the x-t writer (fig. 11).
0,' , " 0,> G,S ! 0,' 0,1 I 0,' OJ,
..
...
..
..
..
60 ;0hrn.1'\ )
Fig 11 Output voltage vs time after switching on
The three-channel amplifier was tested by monitoring the unamplified and amplified signals of one sensor. The amplification and supply appears to
be stable (fig. 12). 4 ~"1,,~ ---~-:--:-;:'-;---I I -;'j- .,. , .._...~_.--~~_~~_~__~'.--'----_ _ ~..--...--.r---" ! '" l ' 11 .~ I~ t:r It.
2.4 Statical test l
h
(mrn)
b\10
L
4
Finally the method was tested statically. At a certain height and angles 9 and 'P the output voltages were measured, a few times. The calculated heights (using the linear relations stated in section 2.3) are com ared with the ad'usted hei
1.. 4
6
8 -10Fig 13 Calculated height (h') vs adjusted height (h)
This shows that you can approximate the height using this method. The error in the calculated height is about 0,15 mm.
Chapter 3: DYNAMIC MEASUREMENTS
3.1 Introduction
After these static measurements the method has to be subjected to dynamic tests. Generally we would like to use this method to determine the height as a function of time during motions (more specifically the motion C'f a valve during a pump stroke) Therefore the three sensor
output voltages must be determined as a function of time.
This can be done using a data acquisition system, such as the IBM computer with a Metra Byte card (the system used in the Windenergy group). This system is described better in [BEE87].
Wi th such a system we can check whether the method is capable of monitoring motions of the valve. As stated in [JAN87] the valve closure time can be as small as 5 milliseconds.
3.2 Experimental setup
The data acquisition is carried out using DMA (Direct Memory Access). Within ASYST (a programming language often used in such cases) only one channel can be sampled at a time. The time between two samples must be considerably shorter than the time in which the signal changes significantly. Then the three output voltages can be treated as sampled simul taneouslyand the height can be determined from the average output voltage.
Very short times between two samples must be avoided because the data buffer (in which the acquired data are stored) has a max. size of 64 kByte. Very fast sampling can lead to a situation in which the buffer is full before the motion that was monitored is completed.
Two programs were written (one for measurements and displaying of the results and one for calibration) to support the data acquisition system. This was done based on the work by others: [BEE88].
The measuring program samples the three sensors subsequently (two hundred times each) and calculates the height from these outputs.
The time between two samples can be set and thus determines the sampling frequency. The programs are explained more extensively in annexes F and
3.3 Initial dynamic measurements
Before measurements of the valve motion during a pump stroke simple drop tests were performed to check the entire system (hardware and software) and to get to know it.
For this kind of test was chosen because the motion is known (so the results can be checked) and the motion is similar to that of a closing valve. In both cases there are intervals at the beginning and at the end of the motion where both the output voltages and the height are known. This causes these motions to be very suitable for calibration, as will be shown below.
Fig. 14 shows the results of a measurement on a falling valve. The valve is held at the valve stop and dropped at
acquisition has been started at t
=
O.t = t after the data
1
t ..
U(UOLTsr~
1 , . 8 U[UOLT8f1 . • 8 _::~
,--;;8~'3C;;:8~-,-=f;9;:-;8~-.~1;:S5==8="".~ ~. ::~~ ::~
'='2';"18:=""',--:2:'=7C;;:1I~ • 838 • 898 • 158U[SENSOR 1] T[SEC] U[SE"80R 2]
U[UOLTS[
~~:: ~~~~\
,41111 -. eee --..,.,..., 7 II'f , 8 3 8 ' . 8 9 8 ' .1'58' .2111' ,2711 U[SENSOR 3] T[SEC) .2'18 ,,'78 Tl SEC]Fig 14 Result of measurement on falling valve (voltages vs time)
h
=
h (in this case the height of the valve stop=
10,8 mm) form 0
o
s t stand h = h (= 0) for t s t s t . This is valid for all drop1 m e 2 e
h = C
•
v
+c
0 1 gem,0 2 he = C•
v
+ C 1 gem,e 2 h - h h - h C = 0 e C = h - V•
0 e 1 V -V 2 0 gem,o V -Vgem,o gem,e gem,o gem,e
The height is linearly proportional to the average sensor output voltage (as stated in section 2.3) and can be written as:
h - h o e h (t) = ;-;---.,:---m V -V gem,o gem, e h - h o e • Vgem(t) + h0 - Vgem,0• V -V gem,o gem,e
In different setup temperature and external magnetic fields wi 11 be different. With the calibration program (that calculates the values of Vgem, and V ) the val ues of C and C (dependent on these
0 gem,e 1 2
factors) can be adapted to new conditions.
3.4 Results of drop tests
As a first experiment the valve height was measured, as it fell down the axis of the calibration device (see section 3.3).
The desired sample frequency was set to be 800 Hz (the data acquisition then takes 0.25 sec). The actual sampling rate was three times this frequency: 2400 Hz. HtNM] 18 •• n .•
••••
4 .••••••
.838 .898 .U8 .218 .278Fig 15 Height vs time as result of drop test
Resl..llcf> of
me."sl..lr,m~ntsst"lla.oIin
",nnc.J\.O.
For this motion we can form the following equation:
F
(t)=
-m g eg x
=
-k~
{x(t)} ea
t xThis force is made up of two parts: friction of air and friction at valve guide.
a
2'*
m2
{x(tH=
at
a
- mg - k --- {x(t)}a
tx
I- -1
I
o
-Fig 16 Orientation of forces working on falling valve
This gives eventually:
~
m~
kx(t)
=
h + --- g - --- g t - ---2 g exp (- --- t)o k2 k k m
When we try try to fit this relation to the measured plot we find that the curve is best approached when we take on a value of kim
of about 11.
16
, / '
[1-~?1'J6)
s"'IJ -
:r
Ie.
Fig 17 Calculated height vs time (0) and curve fitted to these points (solid line)
According to the sensors' specifications the frequency range of the sensors is upto several MHz. It was expected that even fast motions could be monitored. The results shown above indicate that indeed dynamic measurements can be done. Hereby, another requirement of [CEE88] is met. The signals in figs. 14 and 15 aren't very smooth, there is a 100 Hz
interference on the signal. This is probably caused by the supply from the amp I ifier: a rect ifier causes one period of the mains voltage to become two periods (2x50=100 Hz). A capacitar changes this voltage into a DC signal. Because the capacitar wasn't dimensioned correctly, the vol tage drops when the sensors rece.i ve current: 100 Hz interference. ASYST allows you to smooth the signals (i. e. the signal is Fourier-transformed and then re-transformed after the high-frequency part is canceled). Htl'1HJ 1B • • 1& • • e .••
...
••••
T (SEC] 0,06 0,10 0,10 0,2.5Another measurement shows that the system is capable of monitoring even faster motions. In the results you can point out the different stages in the fall, changes that are much faster that the general mot ion
(fig. 19). HtMHJ 16. e .l2.e 8.ee 4.ee .lIee
.1I3e • 11911 • 1511 .21e .27e
'ii_naMe s 8:TEST?DAT
Fig 19 Height vs time as result of drop test
TtSECJ
1: the valve starts to drop, according to equation (3)
2: the valve tilts and the fall is stopped momentarily by the valve guide (max. tilting occurs at 9 ~ 50)
3: the valve continues to fall, again according to (3) 4: the valve hits the basis and bounces back.
A funny example of this bouncing follows from measurements on a valve, when you force it to fall like a dime on a table:
NUIMJ 18 •• la .• •. e. 4.e• . ee.
L
_
.ae. .6ee 1.ee 1.4e 1. Ie
£llefta.e • 8:TEIT6.DAT TtSECJ
duct
As is shown in fig. 20 during this bouncing and turning the valves centre height increases and decreases but is never equal to zero, i.e. the valve centre never hits the base. In the end the motion is stopped by friction.
3.5 Measurements in a pump
After these droptests enough of the system was known to perform the planned measurements of valve motion in a running pump (in fig. 1).
In-stead of the usual metal duct a new perspex duct was made to allow eventual stroboscopic measurements. The piston moves inside a hole bored in the perspex block.
The transducer is placed at the pump rod to function as the val ve stop. The signal and supply lines are lead out of the pump by a system of two hollow screws (with O-rings to make it waterproof) . This system is shown in fig. 21.
Fig 21 Draught of system of two hollow screws to lead lines out of the
pump. At the arrow head the rubber ring is pressed against the lines by the narrow screw to assure water resistance
Unfortunately the transducer didn't meet the last requirement of
"461Ot.t.I7
[CEE88]: water resistance. After the transducer submerged for a few minutes, the water reached the sensors inside the transducer. For this reason only one measurement could be done properly:
H[ 1 ' " ] 16.11 12.11 8.1111 4.88 .888 .unl .31111 .51111 . ?1111 .91111
rtl_naN. ~ B:DATA.l TlSEC]
Fig 22 Height vs time as result of measurement during a pump stroke
H LHH] 16.8 1:/.8 8.88 , I . - - - \
\
4.88 .888Fig 23 height vs time, interference canceled
Comparison with [JAN87] shows agreement, where shape is concerned.
Actually the measured result isn't of much interest since the cup in the pump didn't fit at the time. Therefore water could flow easily between the piston and the duct, in stead of through the holes in the piston. The interesting fact is that this method can be used in measurements of valve motion. In chapter 4 a few points of interest are mentioned for future measurements of this kind.
IDstuthoek top~"t1no.stlc.lI o1f---."TO---,TIO--L:J:===-27rO---I..,60-;SI;;:U:t,t~....::;.;--"-U-'-h"-' I lcyadrnl I o 0,.83 0,H3
Fig 24 height vs time as result of calculation [JAN87]
Chapter 4: DISCUSSION
Wi th the present method it is possible to determine the height of the valve, not depending on
e
or ~ (al though water resistance is an important factor and more attention should be payed to it). The error in the height is smaller than 0.2 rom, both statical and dynamic (see last remark) .If the shifting was canceled (e.g. using floating valves which are much higher than usual disk valves and can be fitted closer to the rod because they don't tilt), information about ~ can could be derived from
o the measurements, to check whether the valve turns or not (then
e
~ 0 ).Another method would be to minimize the shifting and to use better (more homogeneous) magnets. Then an extens i ve cal i brat ion must be done with respect to
e
and~. It seems useful to use a temperature correcting circui t and to replace the screws (which are adjusted using gauge slides) with micro meters, which can be adjusted much more accurately.A point of interest could be to check the effect of the moving magnet near conductors. This creates additional magnetic fields which in turn affect the sensors' outputs and contribute to the error in the calculated height (in dynamic measurements).
REFERENCES
[BEE871
[BEE88]
[GEE88]
[JAN87]
P. Beekman
"Een meetsysteem voor het meten van pompstangkrachten"
*
Internal report
R 857
S,May 1987
P.
Beekman
Measure program version
2(TESTRIG2.PMP) for pumptestrig
updated 12-4-1988 (internal note*)
B.J. van der Ceelen
"Two methods for dynamic measurement ot the
valve
height
in a piston pump"
*
Internal report
R 939 S, September 1988
\II.
Janssen
"Berekening van de kleppenbeweging in zuigerpompen"
*
Internal report
R 860 S. June 1987
*
Internal reports of the Laboratory of Fluid Dynamics and
Heat
Transfer
Annex A: Calculation of hand
e
m
The three adjusting screws can be represented by three vectors: h , h and h (lengths in mm).
1 2 3
The plane of the valve can then be described by:
x
= [
2U
+~
[::~~
]The z-axis can be described by:
[ 10v'3 ] + P. 30 h -h 3 2 (h +h +h )/3 1 2 3
The intersection of the plane and the z-axis can be calculated from:
{
h + A (h -h ) + P. (h -h )
=
v3 3 1 3 2
- A 10v'3 + P. 10v'3
=
020 + A 30 + p. 30
=
0 This leads to:A
=
-1/3, p.=
-1/3 and v=
(h +h +h )/31 2 3
intersection point = height valve center =
Xl
_--+-_~iI::::::::::
Y
Fig 1 Orientation of vectors representing screws
Calculation of e: cose
=
a
= [
n·
lal
=
Ib
= [-1:~3
] x [1:~3]
=[20h3~~~~::~~IOh,
V3 ]
h -h h -h -600v3 3 1 3 2I
bl
= 1O/9(h -h )2 + 3(h -h +h -h )2 +10800 1 2 3 1 3 2 cose = _-;===::::;==-=6=0===::::;==:::::; / 3 (h -h)2 + (h - h +h -h)2 + 3600 1 2 3 1 3 2Annex B: Results of calibration (numeric)
h
mm1h2
mmh3
hm
e
'P V1V2
V3
mm 11Im degr degr V V V
Ah.O.1 mm. Av=O.02 V. 10.00 10.00 10.00 10.00 0 0 1.68 1.54 1.65 1.81 1.66 1.73
-9.00 9.00 9.00 9.00 0 0 1.54 1.43 1.56 1.67 1.55 1.65 8.13 9.+1 9.+1 9.00 2.5 0 1.52 1.41 1.61 1.64 1.52 1.68 ,, ,, ,, , , ,, 60 1.50 1045 1.58 1.61 1.56 1.66 , , ,.
,, , , ,, 120 1.52 1.41 1.54 1.&4 1.58 1.62 ,, ,.
, , ,, ,.
180 1.51 1.45 1.52 1. 70 1.56 1.60·
,·
,·
, ,, ,.
240 1.61 1041 1.55 1. 73 1.53 1.&4 , , , , ,, ,, ,, 300 1.57 1.40 1.59 1.70 1.50 1.67h
1h2
h3
hen
e
.,
Vi
V2V3
mm mm mm mill degr degr V V V
Ah=O.1 mm AY .. O.02 V. 8.00 8.00 8.00 8.00 0 0 1.39 1.29 1.46 1.52 1041 1.55 7.13 8.+1 8.+1 8.00 2.5 0 1.39 1.29 1.50 1.51 1.40 1.58 , , ,,
·. ·.
·
, 60 1.37 1.32 1.48 1.48 1.44 1.57·
.
,.
·
.
·.
·
.
120 1.381.35
1.44 1.50 1.45 1.53 ,.
·
.
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. ·.
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180 1.42 1.33 1043 1.54 1.44 1.50·
.
·
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·
. ·.
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240 1.+1 1.29 1.+1 1.56 1.40 1.52·.
,, ,,·
.
·.
300 1.42 1.27 1.46 1.54 1.37 1.56hi mm 4h=O.i mm.
hm
mm Ie
I
cp de9l deg,. Vi Y 4Y=O.02 Y. 7.00 7.00 7.00 7.00 0 0 1.22 1.16 1.30 1. 34 1. 27 1. '40 6.13 7.+4 7.+4 7.00 2.5, 0 •• 2'40 •. 300·.
·.
·. ·.
·.
60 120 180 1.20 1.13 1.35 1.31 1.23 1. ..3 1.18 1.16 1.32 1.27 1.27 1."1 1.19 1.18 1.28 1.30 1.28 1.37 1.23 1.16 1.26 1.34 1.27 1.34 1.25 1.13 1.28 1.36 1.23 1.36 1.2.. 1.11 1.31 1.35 1.20 1.'40 hi h2 h311m
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cp V1 V2 V3 mm mm mm mm deg,. deg,. V V V 4h=O.1 mm. 4Y:O.02 V. 6.00 6.00 6.00 6.00 0 0 1.10 1.O'l 1.20 1.21 1.15 1.29 5.13 6.+4 6.+4 6.00 2.5 0 1.08 1.02 1.23 1.18 1.11 1.31·
.
·
.
·. ·. ·.
60 1.05 1.O'l 1.21 1.H 1.15 1.30·
.
·. ·. ·. ·
.
120 1.06 1.06 1.18 1.16 1.15 1.26·
.
·. ·
.
·. ·.
180 1.09 1.O'l 1.16 1.20 1.1.. 1.23·. ·.
·.
·
.
·.
2'40 1.11 1.01 1.17 1.21 1.11 1.25·. ·
.
·
. ·.
·
.
300 1.10 0.99 1.19 1.20 1.08 1.2828
I h1 h2 h3 hm
a
'P V1 V2 V3 mm mm mm mm deg .. deg .. V V V Ah=O.1 mm. AV:O.02 v. 5.00 5.00 5.00 5.00 0 0 0.95 0.91 1.06 1.05 1.01 1.15 04.13 5."H 5."H 5.00 2.5 0 0.93 0.89 1.09 1.02 0.97 1.17·
.
·. ·.
·
. ·.
60 0.91 0.91 1.08 0.99 1.00 1.16·. ·
.
·
.
·
.
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120 0.92 0.92 1.05 1.01 1.01 1.13·
.
·
.
·
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I
·
.
180 0.94 0.91 1.004 1.04 1.00 1.10 i·.
·
.
·
.
·.
·.
2040 0.96 0.88 1.004 1.05 0.98 1.12·
. ·. ·.
·
. ·.
300 0.95 0.88 1.07 1.05 0.95 1.15 ht h2 h3hm
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'P Vt V2 V3mm IlIm mm mill de, .. deg .. V V V
Ah:O.t mm. AV_O.02 V. 4.00 4.00 4.00 4.00 0 0 0.81 0.78 0.93 0.90 0.87 1.02 3.14 4."H 4.44 4.00 2.5 0 0.79 0.76 0.96 0.87 0.84 1.03
·.
·
.
·
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·
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60 0.77 0.77 0.96 0.84 0.88 1.004 • •·
. ·.
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120 0.80 0.81 0.93 0.88 0.89 1.01·.
·
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190 0.82 0.79 0.92 0.91 0.88 0.98·. ·. ·
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2040 0.83 0.76 0.93 0.91 0.85 1.00·
.
·. ·.
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300 0.81 0.76 0.94 0.90 0.82 1.02! I h1 h2 h3 hm
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'/1 r VI V2 V3 I mm mm mm mm degr degr ; V V V ll.h:O.l mm. ll.V:O.02 v. 3.00 3.00 3.00 3.00 0 0 0.&4 0.&4 0.79 0.73 0.73 0.87 2.13 3.44 3.44 3.00 2.5 0 0.65 0.65 0.82 0.72 0.72 0.89·
. ·. ·
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.
·
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60 0.&4 0.65 0.81 0.70 0.7-t 0.88·
.
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·
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·. ·
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120 0.&4 0.66 0.79 0.72 0.73 0.86·.
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·. ·. ·
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180 0.66 0.65 0.79 0.7-t 0.73 0.85·
.
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2-tO 0.67 0.63 0.79O.H
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300 0.66 0.63 0.80 0.73 0.69 0.88 0.00 0.00 0.00 0.00 0 0 0.30 0.32 0.46 0.36 0.10 0.5230
himm h 2mm hamm 11m
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'P Vi V2 Vamm degr degr V V V
I
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8.00 8.00 8.00 !8.00 0 0 1.39 1.28 1.43
i
1.50 1.40 1.52 7.65 8.11 8.11 8.00I
1 0 1.38 1.28 1.'6 I I 1.49 1.39 1.54 I '·
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60 1.36 1.29 1.+1 1.41 1.41 1.53·
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120 1.36 1.31 1."12 1.48 1."12 1.51·
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180 1.38 1.29 1.41 1.50 1.41 1.49·.
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240 1.40 1.28 1."12 I 1.52 1.40 1.51·
. ·
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300 1.40 1.21 1.+1 1.52 1.31 1.53 7.30 8.35 8.35 8.00 2 0 1.38 1.28 1.48 1.50 1.38 1.56·
.
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·
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60 1.35 1.31 1.<46 1.'6 1."12 1.55·
.
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120 1.36 1.34 1."12 1.41 1.+1 1.51·
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180 1.39 1.32 1. ..1 1.52 1.43 1.48·
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240 1."12 1.28 1."12 : .54 1.39 1.50·.
·
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300 1. ...1 1.25 1.+1 1.53 1.35 1.53 6.95 8.52 8.52 8.00 3 0 1.34 1.25 1. ..1 1.'6 1.35 1.55·.
·
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60 1.31 1.30 1.45 1. ..1 1.40 1.53·
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120 1.33 1.32 1.39 1.+1 1."12 1.48·
. ·. ·. ·. ·.
180 1.31 1.30 1.38 1049 1.41 1.45·
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240 1.40 1.25 1.39 1.51 1.36 1.48·
. ·
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300 1.38 1.22 1.43 1.50 1.31 1.5231
h 1 h2 h3 h",
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V1 V2 V3 mm mm mm mm degr degr V V V 4h=O.1 mm. 4V=O.02 v. 6.60 8.70 8.70 8.00 4 0 1.33 1.24 1.49 1.43 1.33 1.56·
.
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60 1.29 1.30 1..f6 1.37 1.41 1.53·
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120 1.32 1.35 1.39 1.42 1.+4 1.47·
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240 1.+4 1.25 1.39 1.53 1.35 1.46·
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300 1.40 1.21 1.45 1.51 1.29 1.53 6.25 8.87 8.87 8.00 5 0 1.33 1.23 1.50 1.42 1.31 1.56·.
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60 1.28 1.31 1.56 1.35 1.40 1.54·
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240 1.45 1.25 1.38 1.54 1.34 1.45·. ·. ·. ·.
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300 1.42 1.20 1.45i
1.52 1.27 1.5332
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h1 h2 h3 : hmIe
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h'mde g r Vi V2 V3
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16.8 12.8 8.88 4.8B .8B8T
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11
1..301..10(
.900 COto
.700 .500 2.80 3.60 .400 J..20 2.00 2.80 3.60T[SEC] U[SEHSOR 2] TlSEC]
2.00 1.. 20 1.. 16 1.06 .96J. .86J. U[UOLTS 1.. 26 .400 U[SEHSOR 1] U[UOLTS
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4.08
Annex r: Program listing MRS-MEET and manual ;: t.M 0 .~LMi=- Ii, X '- ':," .,
-
..
L '.F-:'- Mr, ( y t .."c--
f'L'"
R \ 1 ,h,EAL 0 i 1'0,LAF- I -;:; 1"',L ' 0 .( Mc-,,,,"F•
F: Er,
-
\..,. F'~,..,L 0. '-,4,l..
F- Ap., 1"":t,,\L '. 0 L P-,F- E: 8 0 ' M ;:,~ 0 ,. ,~ p.,F: ,:.~L 0 L )-
-F:EI'L --
I'-0 MLfl.,F: 1 ;:;E...L 0 -ALfl, F\ 2 ':.I," ' ) F E....L ~:.,-
o ·ALAR ':> RE.~L -( 0 ALAR ":<1 ':, -REAL ':,:~ .~-
A Lf:<,R S-, .:.EEAL DIM[ 200 ARRAY H.
REAL D!rvl[ 200 AF:RAY T
REAL DIM[ 200 AF:RA y VI
REAL DIM( 2(ItJ ARRAY V2.
F,0. L [1I M[ 200 ARRAY \{ 3.
REfl.L [JHi [ '::00 ARRAY PRl
REAL DItvl [ 200 AF:RAY F'R2
15 STRING FILENAME
DIM[ 200 • 3 ] DMA.ARRAY VALUES uASH16
o
2 AID. TEMPLATE CHANNELSVALUE'; (JMA,TEMF'LATE. BUFFER A/D.INIT vP • 1 U.U 0.6 VUPORT.ORIG 0.5 0.4 VUPORT.SIZE
v
P • :: 0.5 0.5 VUPORT.ORIG 0.5 0.4 VUPORT.SIZEv
P • :3 0.0 0.2 VUPORT.ORIG 0.5 0.4 VUPORT.SIZE VP.4 0.5 0.2 VUPORT.ORIG 0.5 0.4 VUPORT.SIZE VP.5 0.0 0.2 VUPORT.ORIG 0.5 0.3 VUPORT.SIZE VP. Eo 0.5 0.2 VUPORT.ORIG 0.5 0.8 VUPORT.SIZE VP 0.0 0.2 VUPORT.ORIG 1.0 0.8 VUPORT.SIZE60
SAMPLE.H·EO - 1 . 5 . F,X.F(iRi"lATV1
=
V"-",
=
V3 =
FREQ:,· PJI/ J':''o (:')NIjEF:~,I\)N.DEL~,Y
" [ l . I N ] ' -'.-.~ -:' ,... lV! \ ~ t.. •t- \"""t \) DP: ::'Hj 5 . [)!"1A • A L I (~N [ll.!f >UN;IG~JE[) 1
I:, "
:;W;',t' := F'LljT.AA VALUE::,:.(':,ECT[ , 1 ]VI. DA::H 1:,. [;MA. ,lILI (,N
VALuES XSECT[ ! , 2 ] V2. DASHI5.DMA.ALIGN ,'ALuE:; X;ECT[ : , :: j 'J:3. [i,A, ':,H 1 5 . Dr-i,1\ •ALI (;~J HE.tlDINC, ~,T,o.,F:T. r-IEA;URE BE (; I N ?i)MA.IHTIVE NOT UNTIL FLOT.AA Cf' .;; [)r·1 ARE A [, Y " f\1PRINT CR." F'RINT';' v/N" PCI<EY?[JF:(JP 8':i I F :;,CREEN. CLEAR SCREn~.PRINT THEN SCREEN.CLEAR
CREATE. DATA. FILE
FI L E. TEMPLATE
REAL DIM[ 200 ] SU8FILE
:>
TIME:;END
FILENAME DEFER> FILE.CREATE
WRITE.DATA.FILE
FILENAME DEFER> FILE.OPEN
1 SUBFILE H. ARRAv>FILE
2 SUBFILE T. ARRAY>FILE
:; SUBFILE VI. ARRAY>FILE
4 SU8FILE V2. ARRAY>FILE
t:j ':UE;FILE V3. ,ARRAY>FILE
;:- j :-E~.f'1.,,1E [ E FER> F I L E • ':' FEN ;0fFILE H. FILE)ARR~{ _ :UEFILt T. FILE>A.FFAy .' I . F IL E
>....
F:F.M1 V1=
IJ",'-=
V3 :=
,. ::.; f; F"1Lt Ij::}. F ILE
>
,A,RF A'y'c'" ...
~·:h I..,i j\iI~': F . ,.
r
i L EN1<.ME:'" (R" I iH' UT F I LEN Af"1E ;': =
" E;: I, FI LEN1<.ME" ( AT F I LEN AM E ":=
(REATE.L'ATA.FILE wRITE.DATA.FILE
(IATA.READING
': R .iI F I LEN AM E.?I' C R
"INPUT FILENA,ME ":=
" B:" FILENA.tv1E "CAT FILENAME ":=
REAll.DAT.A. FILE MEA':,URE NOR.Mt;L.DI~,PLAY ~,T;:'.Cf,. CL EA.R REA [, HE, CR ." O~JE T"10rvlENT" VI. -10 10 A/D.SCALE v~. -10 10 iJ.,/[).~;~=.ALE V3. -10 10 A/D.SCALE
o
I, .' F I LENAl"lE ".= (IATA.AXHORIZONTAL AXIS.FIT.ON GRID.OFF
VERTICAL AXIS.FIT.ON GRID.OFF
1,:1 iO AXIS.DIVI::,IONS
.lE;O .210 AXI~.• ORIG
.800 .740 AXIS.SIZE .025 .008 TICK.SIZE .100 .850 TICK.JUST LABEL.PLOT NORMAL.COOR[)S .8 .05 POSITION " T[SEC]" LABEL .01 .92 PO~,ITION II H [ MM ]II LAB E L LAB EL.PLt)T. 1 .8 .05 F'OSITION "T[~>EC]" LABEL .01.97 PO':,ITION " V[V()LT:;]" LABEL
LABEL. F'LCIT.::'
NORMAL.()OR[)S
- - - ~_. - ..
--_, r ....;. - !"""' ~ _ .: ~ :,.: l :-!- L fO i
': "7". [ j:'1 .. y ~':JF: I Z,) NI ,4,L i,,/ (:F; L[l .:,ET
-2 10 vEFT1C~L WORLD. SET
.1;0 .210 AXIS.POINI Xl. f',". I:.. F'Li)1
,-K, F:L [I • ',:(i (;F: [; S
Vi. \i2. -t I/.?'. + 3 j Cl * C2 + H . •
-I. I i . <'1. Dr',I A . PLOT
LAE:EL.PLOT LIlE; EL. PLOT. 2
(, G p' ,)SIT ION " LAE: EL HF'Rlf'~T r' .;. - I . J . FI~.F0RMAT N :.) F' 1'1,"',L • ':,e;,(jR DS (,F1-',FH I (: .[i I':.p,Li·1Y E:(:TltJl'1 vP. 1 [;ATA.;:'! vpC'RL [) • ': ()<)R DS
o
T. []MAX HORIZONTAL WORLD. SETVI. [JMINjMAX VERTICAL WORLD.SET
N(,RMAL. CO()RD:,
.1::;,:,
.~lC' A;Y;I~;.POII\jT K\.AXI':,.F'L'.JT IIJI)RL [) •COO Rc):'
T. 1,11. XY.[)ATfl.. PLOT N0 F: MAL • C0 (. RD':: LAE;EL.F'LOT.l.O~, .O~, PO::.ITION
" V [::,EN':.OR 1]" LAB EL
VP.2
DA,TA. f>.X
WOF-:L D . COO R D:3
o
T. []MAX HORIZONTAL WORLD.SETV2. []MIN/MAX VERTICAL WORLD.SET
NORMAL.COORDS .180 .210 AXIS.POINT Xy'.AXIS.PLOT ~-JORLD.COORD:; T. V2. Xi.DATA.PLOT NORMAL. COORD::. LA8EL.PLOT.1 .l15 .05 F'OSITION \I V['.:.EN:::OR 2]" L,4,BEL vP .3 D/ITA.AX WORLD.COORDS
b
() T. []M/l,X HORIZONTAL WORLD.SET.3
V3. []MIN/MAX VERTICAL WORLD.SET
N ()f::MAL.<: ()0 RD~;
.180 .210 AXIS.POINT
XY.AY,I';.PLOT
N0 F:,'1i-<,L .,= (; (;Rc); LA Et L . FL ':'T • 1 '.'[:ti'J:,(,F :]" LPEEL ':' ,=, F'=J :'i T i () N ,I L::'.E: EL 1"0'1i=-F I!\JT tv]El'JU CR CK
CR YOUR CHOICE I :PLOT HEIGHT VS TIME
CR ;:MEASURE CR 5:READ A MEASUREMENT <:F T YP E T ,., l:, AN [) [E NT EF: j )" #INPUT XX := A MEN U i X X I F P 1 THEN 2 XX j F P2 THEN j F MEA;URE T. []Rf<,jvlF' T. FREO lClOI) " ! T. THEN 4 /, X I F Or Y THEi~ 5 X,i, IF DATA. READING THEN b XX = I F DATA.WRITiNG THEN B 1 Y Y : = BEGIN 1 yy
=
WHILE A REPEAT2:PLOT VOLTA(~E~; VS TIME" 4:QUIT"
MANUAL ASYST-PROGRAM MRS-MEET. COM
This program is meant to be used in dynamic measurements, using the transducer with three magnetoresistive sensors. It can easily be adjusted to other configurations (e.g. height measurements with force-and/or pressure-measurements). The program is to be executed using ASYST, version 1.53.
After loading the program with "LOAD B: MRS-MEET. COM" you start it by entering "B". Then a menu is plotted on screen:
YOUR CHOISE 1: PLOT HEIGHT VS TIME 3: MEASURE
5: READ A MEASUREMENT TYPE 1 TO 6 AND [ENTER] >
2:PLOT VOLTAGES VS TIME 4: QUIT
6:SAVE A MEASUREMENT
1: PLOT HEIGHT VS TIME
This option plots the data from arrays H. (height) and T. (time) using DATA.AX (which plots the axes), LABEL. PLOT (which plots the labels at the axes) and P1 (which calculates the height and plots it).
In this calculation the scalars C1 and C2 have to be known, so before this a calibration must be executed (e.g. with CALIBRAT.COM).
2: PLOT VOLTAGES VS TIME
This option plots the data form arrays V1., V2. and V3. vs T. in three seperate graphs (using P2 and LABEL.PLOT.2).
In options 1 and 2 the program asks whether you want the plot(s) on screen to printed or not (using MPRINT). If you want to get hard copies of the plots, you must load the program ASYST.CON before you start up this program.
3: MEASURE
This option starts a DMA data acquisition. It asks for the sample frequency you want (enter it in kHz). The actual sampling rate is three times this entry, since only one channel (voltage) can be read at a time (SAMPLE.FREQ). When DMA is done and the 3x200 DMA-buffer is filled, the
program continues by putting these data in seperate named arrays: V1., V2. and V3. (PLOT. AA). The data are then converted from digital to analog values (MEASURE).
4: QUIT
This option allows you to leave the program and return to ASYST. 5: READ A MEASUREMENT and 6 : SAVE A MEASUREMENT
These options allow you to save and read data files to and from disk. It asks for the filename of the file to be treated. The filename is a word of max. 15 signs, e.g. filename.dat (parts used: CREATE. DATA. FILE, WRITE. DATA. FILE, READ. DATA. FILE, DATA. WRITING and DATA. READING).
i'ROG-~AMI-\ ST \~
Go
,...., = C1'" \;' ;3.:-rn ~l
~·1>~ '/ -; II :::'~': ~.~FuTI:1 ~f~1\·iJ d #!NFUT (~' (f.,L CF ." n FE H be q i n [~1r'1] "CR ," IN A PUMF -HIS THE HEIGHT OF THE STOP MINUS THE VALVES THICKNESS "
CR. " TYF'E H .,.nd P"1I'1j"
CR .• ' ] N A PUlJiP .HI S I',~ THE THI CKNE'':,'3 (IF THE RUBBER DISK
ttlNPUT H2 := '3 ':::1 +::,2 + ::: / AA := ~;.:; 1. ...;2. + :, / SE; .-HI HZ - {J,p., E:8 - / C1 := HI AA HI HZ - AA BE - / • - C2 AUTO.CAL.l
VI. ';UE:[ 1;;:0 , 1(I ] !·1EMJ A,A
.-\/i.;UE[ 1;iC; • 1lJ J ~1EAN B8
AF. t:E - AE: :;, C,.i,l
>
IF VI :,UE [ 1'3I) , 5 ] MEAN AA \;1 '.:.\_\ E.L 135:,
J 1"lEAtJ 8E; -AP- 88-
At;;o.
01>
T r-, r:: F ." NO CALI 8 RAT I ON PI) SS I 8 LE"
MANUAL.
en
CL::,E..
v
; ' - l l r [ 1'3(; :1_,\c' \;..
:,UEl 1,:1I)v
-' :,UE [ 13(I 10 r"1E AN ,".:1 • -10 MEAN '; I ,.
-10 MEAN ~'i ~~.en
THEN EL ':;E Vl. V? ~.
V3. CAL THEN SU8[ H:O SUB[ 1:::0 SUB[ 180 • 20 ] MEAN c',oJ. : = 20J
MEAN 51-.
-20 ) MEAN 52. AUTO. CAL.::: V1. SU8( (1,10] MEAN AA := Vl. SUB[ 10 • 10 ] MEAN BB := AA BE: - ABS 0.01>
IFVI. SUEr 0 • 5 ] MEAN AA VI. 8J8[ 5 • 5 ] MEAN BB AA B8 - ABS 0.01 ) !F J1 .:,UE: L i)
.
" - ':,1.1E;r i ! ,~ l V-;, ':,U8 ( (J 1;:: I(I 10 r~EAN ::; -f"1EAN ':·1 -1'1EAN c·") -.,/~;' -.
.::'-[
_ i)
.-iE~.:.J _....
C~ :r-Ier'~ E:re 1..1f..·C Nay.:. i'-l ,vhi\:,!-, you can calil:\rate. il CR
1_r'
r
ir- ::. ': yc~II c.a n U:,e F'r- e\!i(lU ':. me a'5Ureme nt.:=. (:r (.a1c:LJ1at;I)n sII\.·i\ t.l:' \j~~E'rrl1in-=: the valut:',:. of C1 and C2, which qive thell
I.t"<, linE'cH relat;l)n heiqht Ii:, v<:,lta';le:,." CR
Cf;' ':,e,:cndl y' y'C'U :an u::,e a new trleaSur-elllent and this proqram"
,=R t '::. y--j t (1 dn ci t:: '2 1.(I Pre~·e nt (:.)nd .:, ti<)tl::.. I:
CR "In this case, hC1wevet-, it is required that at the beginning" CF: "and at the end of tho:- mea5ureillent there are interval:,"
'_1\ \;-vith ,,,:,)n5tar-;t 'v/()ltaqe value::.. An e;.;ample of .such a measurementtl
CR 'i:, save;;! in f'ile b:t.e:st':,.dat, which you can see u:sing"
CR "F'r:>'~fO:Hn r"F: ':, -r·jEET .C01"1 (y(l1j <:a11 ·s t aI't i t byeIIt e rinq 8"
.!"\ I' after Y'Ol/ have left thi:. pr":;~;lrarn).jl CR
'.~, n;:E: T,=, ,=ALIE; F: AIE I NTH E FIR '; T WAY DE':: CRI E:ED"
,=Fc, 71=J CALIEf\,;TE IN THE SECCiND WAY DE'::CRIBED"
- •.., r r -.~,.~~,. -,... • '~r·,I... .:.C:f' ,... 1 .:. :.H '.i~1. , C 1I ThEN IF ,;UTO. CAL. 2 THEN ?' XX;;, IF (I YYY THEN CALI8RATION 1 YYY := BEGIN 1 YYY v-JHl LE CALI8RATION.;;: REPEAT
68
MANUAL ASYST PROGRAM CALIBRAT.COM
This program is to be used with program MRS-MEET. COM. Part of the variables is defined in this program. It is necessary to load MRS-MEET before CALIBRAT. After you have loaded the program with "LOAD B: CALI BRAT . COM" you can start it by entering CALIBRATION.
Also in this program a menu appears on screen:
TYPE 1: TO CALIBRATE IN THE FIRST WAY DESCRIBED 2: TO CALI BRAT IN THE SECOND WAY DESCRIBED 3: TO LEAVE CALIBRATION PROGRAM
Option 1: This is the manual calibration option. The program prompts you to enter the values of Cl and C2, to get the linear equation:
hm
=
Cl·Vgem+ C2. This option should only be used when you are sure that the previous measurements (and/or calculat ions) which give Cl and C2 are done under the same circumstances.Option 2: This is the automatic calibration option. As stated in chapter
7. the signal must have intervals of constant voltage values at the beginning and at the end of the measurement. The program continues as follows:
Imenu I IIV 1[o,10]-V2[10,10]1<0.01?1