EAI TR-20 User manual

COMPUTER·
DPERATDR'S
REFERENCE
HANDBODK
©
ELECTRONIC
ASSOCIATES.
1NC.
1964
•
PR1NTED
IN
U.S.A.
•
PUBL.
NO.
00
800.2003-1
•
.JUNE
1967

RELATED
PUBLICATIONS
The
table
below
lists
other
publications
which
may
be
of
interest
to
the
readers
of
this
manual.
Unless
otherwise
indicated
by
title
or
footnote,
all
are
maintenance
handbooks.
Note
that
maintenance
handbooks
directly
applicable
to
a
particular
system
are
normally
supplied
with
the
system.
Title
Handbook
of
Analog
Computation
TR-20
Maintenance
Manual
Repetitive
Operation
Display
Units,
Models
34.034
and
34.035
Pub"lication
Nl.nllber
00
800.0001-3
00
800.2006-0
00
800.2024-1

M226-3
NOTIC
E
In
order
to
enable
us
to
process
your
requests
for
spare
parts
and
replacement
items
quickly
and
efficiently,
we
request
your
conformance
with
the
following
procedure:
1.
Please
specify
the
type
number
and
serial
number
of
the
basic
unit
as
well
as
the
EAI
part
number
and
de-
scription
of
the
part
when
inquiring
about
replacement
items
such
as
potentiometer
assemblies
or
cups,
re-
lays,
transformers,
preciSion
resistors,
etc.
2.
When
inquiring
about
items
as
servo
multipliers,
re-
solvers,
networks,
printed
circuit
assemblies,
etc.,
please
specify
the
serial
numbers
of
the
major
equip-
ment
with
which
the
units
are
to
be
used,
such
as:
Console,
Type
8811,
Memory
Module,
Type
4.204,
Serial
No. 000,
etc.
If
at
all
possible,
please
in-
clude
the
purchase
order
or
the
EAI
project
number
under
which
the
equipment
was
originally
procured.
Your
cooperation
in
supplying'the
required
information
will
speed
the
processing
of
your
requests
and
aid
in
assuring
that
the
correct
items
are
supplied.
It
is
the
policy
nf
Electronic
Associates,
Inc. to supply
equipment
patterned
as
closely
as
possi-
ble
to the requ':.:rements
of
the
individual
customer.
This
is
accomplished,
zt'ithout
incurring
the
prohibitive cos:is
of
custom
design, by
substituting
new
components,
modifying
standard
com-
ponents,
etc.,
wherever
necessary
to
expedite
conformance
with
requirements.
As
a
result,
this
instruction;. manual, which has
been
written
to
cover
standa'rd equipment,
may
not
entirely
concur
in
its
cr:Jnte.nt
with
the
equipment,supplied. It
is
felt,
however,
that a
technically
quali-
fied
person
wirJ
find
the
manual
a
fully
adequate guide
in
understanding, operating, and
main-
taining
the
equ~pment
actually
supplied.
Electronic
Associates,
Inc.
reserves
the
right
to
make
changes
in
design,
or
to
make
additions
to
or
improve-
ments
in
its
product
without
imposing
any
obligation
upon
itself
to
install
them
on
products
previously
manufac-
tured.
PRINTED
IN
U.S.A.

Printed
in
U.S.A.
EASTERI,
REGION
UNITED
STATES AND
CANADIAN
OPERATIONS
Marketing
Division
SALES
OFFICE
Eastern
Regional
Office:
West
Long
Branch.
N. J
..
Te!:
201·229·1100,
TWX
510·239·9208.
Telex
01-26655,
Cable:
PACE
West
Long
Brar.::".
N. J.
Special
System
Department:
West
Long
Branch.
N.
L
Tel:
201·229-1100,
TWX
510·239·9208.
Telex
01-26655.
Cable:
PACE
West
Lon>:
Branch,
N. J.
Customer
Services:
West
Long
Branch.
N.
J.,
Tel:
201-229·1100.
TWX
510·239-9208.
Teiex
01-26655,
Cable
PACE
West
Long
Branch.
1';. J.
Northeastern
District
Office:
875
Providence
HiJ<hway.
Dedham,
Massachusetts.
Tel:
617-326-6756
SOUTHEASTERN
REGION
Southeastern
Regional
Office:
12260
Wilkins
Avenue.
Rockville.
Maryland,
Tel:
301·933-4100
CENTRAL
REGION
Central
Regional
Office:
33166
Des
Plaines
Ave..
Des
Plaines.
Illinois,
Tel:
312-296-8171
Cleveland
District
Office:
6741
Ridge
Road,
Parma,
Ohio,
Tel:
216-842·1840
SOUTHERN
REGION
Southern
Regional
Office:
3514
Cedar
Springs
Road,
Room
211,
Dallas,
Texas.
Tel:
214-528-4920
Houston
District
Office:
7007
Gulf
Freeway,
Room
128,
Houston,
Texas,
Tel:
713·MI-4-3678
Huntsville
District
Office:
Holiday
Office
Center,
Suite
2,
3322
South
Memorial
Parkway.
Huntsville,
Ala.,
Tel:
205·881·7031
WESTERN
REGION
Western
Regional
Office:
1500
East
Imperial
Highway,
EI
Segundo,
California,
Tel:
213·322·3124,
TWX
910·348·6284
San
Francisco
District
Office:
4151
Middlefield
Road.
Palo
Alto.
California,
Tel:
415-321-0363.
TWX
910·373-1241
CUSTOMER
SERVICES
OFFICES
EASTERN
REGION
Eastern
U.S.
Headquarters:
West
Long
Branch.
N.
J..
Tel:
201-229·1100.
TWX
510-239-9208.
Telex
01-26655.
Cable:
PACE
West
Long
Branch,
N.
J.
Northeastern
District
Office:
875
Providence
Highway.
Dedham.
Massachusetts.
Telephone:
617·326-6756
Princeton.
New
Jersey:
U.S.
Route
No.1.
Princeton,
New
Jersey,
P.O.
Box
582,
Telephone:
609-452·2900
Resident
Field
Engineers:
Bedford.
Mass.!Florham
Park,
N.
J./Washington,
D.C./Baltimore,
Md.!Eatontown,
N. J.
SOUTHEASTERN
REGION
Southeastern
Regional
Office:
12260
Wilkins
Avenue.
Rockville.
Maryland,
Telephone:
301-933-4100
CENTRAL
REGION
Central
Regional
Office:
3166
Des
Plaines
Ave.,
Des
Plaines.
Illinois,
Tel:
312-296-8171
Cleveland
District
Office:
6741
Ridge
Road,
Parma,
Ohio,
Telephone:
216-842-1840
Resident
Field
Engineers:
Detroit,
Michigan/Pittsburgh,
Pennsylvania/Dayton,
Ohio/Warren.
Michigan
SOUTHERN
REGION
Southern
Regional
Office:
3514
Cedar
Springs
Road.
Dallas,
Texas.
Telephone:
214-528-4920
Houston
District
Office:
7007
Gulf
Freeway,
Room
128,
Houston.
Texas,
Telephone:
713-MI
4-3678
HuntSVille
District
Office:
Holiday
Office
Center.
Suite
14,
3322
South
Memorial
Parkway,
Huntsville,
Ala.,
Tel:
205-881-7031
Resident
Field
Engineers:
San
Antonio,
Texas/Alamogordo,
New
Mexico/Tulsa,
OklahomalHouston.
Texas.
WESTERN REGION
Western
U.S.
Headquarters:
CUSTOMER
REPAIR
FACILITY.
1500
East
Imperial
Highway,
EI
Segundo,
California,
Telephone:
213-322·3220,
TWX
910·348-6284
Western
U.S.
Headquarters:
CUSTOMER
SERVICES
FACILITY,
1500
East
Imperial
Highway,
EI
Segundo,
California,
Tele·
phone:
213-322-3220,
TWX
910-348-6284
San
Francisco
District
Office:
4151
Middlefield
Road,
Palo
Alto,
California,
Telep
t
lOne:
415·321-0363,
TWX
910-373-1241
Denver
Area:
70
South
Benton
Drive,
Denver,
Colorado,
Telephone:
303-233-0818
Resident
Field
Engineers:
Edwards,
California/Pasadena,
California/Moffet
Field,
California/Douglas
Aircraft.
Huntington
Beach,
California
CANADA
Toronto
Office:
Allan
Crawford
Associates.
Ltd.,
65
Martin
Ross
Avenue,
Downsview
OntariO,
Canada,
Tel:
416-636-4910
COMPUTATION
CENTERS
Princeton
Computation
Center:
U.S.
Route
No.
1.
Princeton,
New
Jersey,
P.O.
Box
582.
Tel:
609-452-2900
Los
Angeles
Computation
Center:
1500
East
Imperial
Highway,
EI
Segundo,
California,
Tel:
213-322-3220,
TWX
910-348-6284
San
Francisco
Computation
Center:
4151
Middlefield
Road,
Palo
Alto,
California,
Tel:
415·321-7801.
TWX
415-492-9211
Washington.
D.C.
Computation
Center:
12260
Wilkins
Avenue,
Rockville,
Maryland,
Tel:
301-933-4100
Research and Computation Division
Research
and
Computation
Division
H.adquarters:
U.S.
Route
No.
I,
Princeton.
New
Jersey,
P.O.
Box
582,
Tel:
609-452-2900
Engineering and
Manufacturing
Division
Engineering
Department:
West
Long
Branch,
N. J
.•
Tel:
201-229-1100,
TWX
510-239-9208.
Telex
01-26655,
Cable:
PACE
West
Long
Branch.
N;.
J. .
Manufacturing
Ilepartment:
West
Long
Branch,
N.
J.,
Tel:
201-229·1100,
TWX
510-239·9208,
Telex
01-26655.
Cable:
PACE
West
Long
Brani:h,
N. J.
. Other Departments, Divisions and Subsidiaries
Instrument
Division:
Lon!:
BranCh.
New
Jersey.
Tel:
201-229-4400,
TWX
510·239·9208,
Cable:
PACE
West
Long
Branch.
N.
J.
Pacific
Data
Systems,
Inc.:
1058
East
First
Street,
Santa
Ana.
California.
Tel:
714·547·9183,
TWX
714·531·0188
Scientific
Instruments
Department:
4151
Middlefield
Road,
Palo
Alto,
California.
Tel:
415·321·7801.
TWX
910-373·1241
INTERNATIONAL
OPERATIONS
SALES &
CUSTOMER
SERVICES
OFFICES
UNITED
KINGDOM
&
SCANDINAVIA
Electronic
Associates.
Ltd.:
Burgess
Hill,
Sussex,
England,
Tel:
Burgess
Hill
(Sussex)
5101-10,
5201-5,
Telex:
87183.
Cable:
PACE
Burgess
Hill
BURGESS
HILL
Northern
Area
Office:
Roberts
House.
Manchester
Road,
Altrincham,
Cheshire,
Tel:
Altrincham
5426
SWEDEN
EAI·Electronic
Associates·AB:
Hagavagen
14,
Solna
3,
Sweden,
Tel:
Stockholm
82-40-96;
82-40·97,
Telex
Stockholm
10064,
Cable: PACE STOCKHOLM
EUROPEAN
CONTINENT
EAI-European
Continental
Regional
Office:
Centre
International,
22nd
Floor,
Place
Rogier.
Brussels
1.
Belgium.
Tel:
Brussels
18-40-04,
Telex:
2.21·106.
Cable:
PACEBELG
Brussels
FRANCE
EAI-Electronic
Associates
SARL:
72-74.
rue
de
la
Tombe
Issoire,
Paris
'14e,
France.
Tel:
535.01.07
GERMANY
EAI.Electronic
Associates
GM8H:
5100
Aachen,
Bergdriesch
37,
West
Germany,
Tel:
Aachen
2
6042;
26041.
Telex
832.676
eai
d
AUSTRALIA
& NEW
ZEALAND
EAI-Electronic
Associates,
Ply
.•
Ltd.:
26
Albany
St.,
Leonards,
N.S.W.
Australia,
Tel:
43-1557. 43-2705,
Cable:
PACEAUS,
Sydney
Victorian
Office:
34
Queens
Road,
Melbourne
S. C. 2.
Australia,
Tel:
26·1329,
Cable:
PACEAUS,
Melbourne
JAPAN
EAI-Electronic
Associates,
(Japan)
Inc.:
9th
Mori
Building,
1·3
Shiba-Atagocho,
Minato-Ku.
Tokyo
2,
Japan;
Tel:
433-4671,
Telex:
7814285.
Cal'.,,: EAIJAPACE
ENGINEERING
AND
MANUFACTURING
Electronic
Associates.
Ltd.:
Burgess
Hill.
Sussex,
England,
Tel:
Burgess
Hill
(Sussex)
5101-10.
5201·5,
Telex:
87183.
Cable:
PACE BURGESS
H:LL
COMPUTATION
CENTERS
European
Computation
Center:
Centre
International,
22nd
Floor,
Place
Rogier,
Brussels
1.
Belgium.
Tel:
Brussels
18-40·04.
Telex: 2.21-106.
Cat:e:
PACE9ElG
Brussels
United
Kingdom
Computation
Center:
Electronic
Associates,
Ltd
..
Burgess
Hill.
Sussex,
England.
Tel:
Burgess
Hill
(Sussex)
5101-10.
Telex:
871·183. Cabie: PACE
BURGESS
HILL
Australian
Computation
Center:
34
Queens
Road,
Melbourne
S.C. 2.
Australia.
Tel:
26-1329,
Cable:
PACEAUS.
Melbourne
I
~LECTRONIC
ASSOCIA
TES,
I
NC.
West
Long
Branch,
New
Jersey
ADVANCED SYSTEMS ANALYSIS
A~D
COMPUTATION SERVICES/ANALOG COMPUTERS/DIGITAL COMPUTERS/HYBRID ANALOG-DIGITAL COMPUTATION
EQUIPMENTiANALOG
AND DIGITAL
PLOTTERS/SIMULATION SYSTEMS/SCIENTIFIC AND
u.eORATORY
INSTRUMENTS/INDUSTRIAL
PROCESS CONTROL SYSTEMS I PHOTOGRAMMETRIC
EQUIPMENT
/
RANGE
INSTRUMENTA·
TlON SYSTEMSITEST AND CHECK-OUT
SYSTH'S
MILITARY
AND
INDUSTRIAL
RESEARCH
AND
DEVELOPMENT SERVICES/FIELD ENGINEERING
AND
EQUIPMENT
MAINTENANCE
SERVICES.
Bulletin
No.
IL·64104-6
June,
1966

MANUAL REViSION
NOTICE
* ELECTRONIC ASSOCIATES INC.
~
TEM
PAGE
PARA
LONG
BRANCH
NEW JERSEY
REVISION
Included
in
the
accessory
items
shipped
with
each
computer
is
a
strip
of
100
pressure
sensitive
labels
(EAI
00
342.0572-0).
These
labels
may
be
attached
to
the
connector
blocks
to
identify
the
computing
components
associated
with
a
particular
problem.
DATE
3/30/65
MANUAL
TITLE
TR-20
COMPUTER OPERATORS
REViSION
NOTICE
NO.
65-13
P l<'k'l<'P
k'l\Tr
l<'
U
1\
l\Tn
p'oOJ(
*THIS MANUAL REVISION NOTICE IS ISSUED TO INCORPORATE IMPROVEMENTS
OR
CHANGES OF ROUTINE
OR
MINOR NATURE IN
THE
SUBJECT MANUAL.
SH.
1
OF
1
SH.

CONTENTS
(Cont)
6.
QUARTER-SQUARE
MULTIPLIER
......•••................•.•..•
26
~.
General
Description
....••.•••.••.•..•.....•.••.•
...•
26
b.
Multiplication......................................
26
£.
Division.
. . . . . . . . . . . . . . . . • . . • .
••.
• . • • .
••
. . • • • • • . • . • •
26
7.
X2
DIODE
FUNCTION
GENERATOR
•..•.••••.•.••.••••••••••.
,..
28
a.
General
Description
..•..•••..•.•....••.•.•...•..•...
28
E..
Generating
the
Square
of
an
Input
Voltage
(Single
Polarity)
........•..•••...••••..•••..••..•.•.•••••
29
Generating
the
Square
of
an
Input
Voltage
(Bi-Polar).
29
8.
LOG
X
DFG
AND
1/2
LOG
X
DFG
..............................
29
a.
General
Description.................................
29
E..
Pa
tching
•...•..•....••.•..•.••......••....•.....•••.
32
9.
VARIABLE
DIODE
FUNCTION
GENERATOR
GROUPS
2.645
AND
2.713.
32
a.
General
Description
..•...••.•.•....•......•...••••••
32
b.
Setup
Procedure
(Fixed
Breakpoint
VDFG's)
•••••••••••
34
£.
Setup
Procedure
(Variable
Breakpoint
VDFG's)
••.••.•.
34
d.
Paralleling
Fixed
Breakpoint
VDFG's
...•..•..•.....•.
46
10.
SIGNAL
COMPARATORS
AND
FUNCTION
SWITCHES
•.•...•••••.•.•.
47
a.
Relay
Comparator
..•••••••••••.•.......•.•••...•.•...
47
b.
Electronic
Comparator
.••
,............................
47
c.
Dual
Function
Switch
Group
2.127
...•.........•...•••
50
ii

CONTENTS
(Cant)
11.
REPETITIVE
OPERATION
......................
53
~.
General
Description
...................
53
~.
Using
Repetitive
Operation
54
12.
DISPLAY
NETWORKS
54
APPENDIX
I -
COMPUTER
SYMBOLS
AI-l
APPENDIX
II
-
CIRCUITS
USING
COMPUTATIONAL
COMPONENTS
AII-l
APPENDIX
III
-
AMPLIFIER
CIRCUITS
FOR
SIMULATING
TRANSFER
FlJN'CTIONS
••••••••••••••••••••
0 0
••••••••••••
AIII-l
APPENDIX
IV -
BIBLIOGRAPHY
AIV-l
iii/iv

Figure
Number
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
ILLUSTRATIONS
Title
The
TR-20
Desktop
Analog
Computer
with
Display
Units
••
4
Inserting
the
Pre-Patch
Panel
••••••••..•••••••••••••••
9
The
6.712
Dual
DC
Amplifier,
Showing Use
of
Bottle
Plug
s
.....
0 • 0 • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 10
The
TR-20
Control
Panel
0
•••••••••••••••
0
••••••••••••••
Readout
Circuit,
Simplified
Schematics
••••••••••••••••
An
At
tenua
tor
••••••••••
'
•••••••••••••••••••••••••••••••
Schematics
and
Symbols
for
Attenuators
••••••••••••••••
Operational
Amplifier,
Simplified
Block
Diagram
Patching
an
Amplifier
as
an
Integrator~
Showing
Simplified
Schematic
of
an
Integrator
Network
Patching
an
Amplifier
to
a Rep-Op
Integrator,
.......
Showing
Simplified
Schematic
of
Integrator
Network
.•
Quarter-Square
Multiplier
Patching
....................
Division
Circuit
for
a
Quarter-Square
Multiplier
••••••
X2
DFG
Patching
X2
Generating
+
10
Patching
the
Log
.......................................
for
-10
~
X
~
+10
••••••••••••••••••••
X
DFG
t s
••••••••••••••••••••••••••••••
VDFG
Mounting
Locations
•••••••••••••••••••••••••••••••
±VDFG
Patching
•••••••.•••••••••••••
e
•••••••••••••••••••
Sample
Function
and
Setup
Information
•••••••••••••••••
Breakpoint
Setup
Patching
.............................
+
Variable
Breakpoint
Diode
Function
Generator
11
14
18
18
20
23
25
27
30
30
31
32
33
35
36
38
SBItlP
le
Curve
s
•••
0 • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •
40
Breakpoint
Location
Plot
Patching
•••••••••••••••••••••
42
v

Figure
Number
22.
23.
24.
25.
26.
27.
vi
ILLUSTRATIONS
(Cont)
Title
Function
Setup
Patching
..........................
44
Relay
Comparator,
Simplified
Diagrams
and
Setup
Patching
......................................
. 48
40.538
Electronic
Comparator
Unit
................ 49
Comparator
Unit,
Functional
Block
Diagram
51
Electronic
Switch
Unit,
Functional
Block
Diagram
52
12.987
Display
Network
Patching
Terminal
Functions
55

CHAPTER
I
INTRODUCTION
Many
problems
encountered
in
scientific
or
engineering
work
involve
mathematical
equations
or
sets
of
equations
whose
solution
in
most
cases
is
difficult
or
practi-
cally
impossible
to
obtain
by
the
classical
approach
to
equation
solution.
The
TR-20
Analog
Computer
provides
the
technical
worker
with
a
general
purpose
computer
which
permits
the
rapid
solution
of
linear
or
non-linear
equations.
Although
the
analog
machine
is
correctly
termed
a
computer,
it
does
not
perform
its
computations
by
serial
calculations
as
does
the
desk
calculator
or
digital
computer.
Instead
it
performs
the
required
mathematical
operations
in
a
parallel
manner
on
con-
tinuous
variables.
In
the
TR-20,
as
in
most
modern
analog
computers,
the
continuous
variables
are
direct
current
voltages.
The
electronic
analog
computer
makes
it
pos-
sible
to
build
an
electrical
model
of
a
physical
system,
where
the
voltages
on
the
computer
represent
the
dependent
variables
of
the
physical
system.
Except
for
a
constant
of
proportionality,
or
scale
factor,
each
voltage
will
behave
with
time
in
a
manner
similar
to
the
physical
system
variable.
Thus,
if
the
vertical
position
of
the
center
of
gravity
of
an
automobile
oscillates
with
time
during
a
disturbance,
then
the
voltage
representing
the
height
of
the
center
of
gravity
above
the
surface
will
also
oscillate;
if
the
temperature
of
the
coolant
at
the
exhaust
port
of
a
con-
denser
rises
exponentially
to
a
steady
value,
then
so
will
the
voltage
representing
it
on
the
computer.
It
can
be
said
that
the
actual
system
and
the
electrical
mode~
are
analogous
in
that
the
variables
which
demonstrate
their
characteristics
ar~
described
by
relations
which
are
mathematically
equivalent.
The
actual
system
has
thus
been
simulated
because
of
the
similarity
of
operation
of
the
electrical
model
and
the
physical
system.
This
capability
of
the
analog
computer
is
of
great
value
in
performing
scientific
research
or
engineering
design
calculations
because
it
permits
an
in-
sight
into
the
relationship
between
the
mathematical
equations
and
the
response
of
the
physical
system.
Once
the
electrical
model
is
completed,
well-controlled
experiments
can
be
performed
quickly,
inexpensively,
and
with
great
flexibility
to
predict
the
behavior
of
the
primary
physical
system.
Although
the
analog
computer
utilizes
electronic
components
in
its
operation,
it
is
not
essential
that
the
user
have
an
extensive
knowledge
of
electrical
circuits.
The
TR-20
is
basically
a
set
of
mathematical
building
blocks,
each
able
to
perform
specific
mathematical
operations
on
direct
voltages
and
capable
of
being
easily
interconnected.
By
appropriately
interconnecting
these
building
blocks,
an
elec-
trical
model
is
produced
in
which
the
voltages
at
the
outputs
of
the
blocks
obey
the
relations
given
in
the
mathematical
description
of
a
physical
problem.
1

Since
our
interest
is
frequently
in
the
dynamic
behavior
of
physical
systems,
the
mathematical
equations
are
usually
differential
equations
having
time
as
the
in-
dependent
variable.
In
order
to
solve
such
equations,
the
standard
components
of
the
computer
must
perform
the
following
operations:
inversion,
algebraic
summation,
integration
with
respect
to
time,
multiplication
and
division,
and
function
generation.
The
sequence
of
steps
for
constructing
a
dynamic
model
on
an
analog
computer
requires
first
a
mathematical
description
of
the
physical
system,
usually
in
equation
form.
From
this
description
the
operator
derives
the
information
necessary
to
set
up
a
computer
program
for
interconnecting
the
computing
components
and
determines
the
required
initial
conditions
and
forcing
functions.
The
computing
components
are
interconnected
with
wires
called
patch
cords.
The
input
and
output
terminations
of
the
computing
components
are
brought
out
to
a
patch
bay
which
is
usually
fitted
with
a
removable
Pre-Patch
Panel
so
that
patching
may
be
accomplished
away
from
the
com-
puter.
The
problem
is
placed
on
the
computer
by
inserting
the
patch
panel
and
ad-
justing
the
problem
parameters
to
the
value
of
the
first
case
to
be
investigated.
Selected
voltages
are
applied
to
various
components
in
the
form
of
inputs
or
initial
conditions.
These
voltages
are
derived
from
a
precise
reference
voltage.
Once
the
computing
elements
have
been
patched,
adjusted,
and
energized,
the
computer
is
switched
into
the
operate
mode.
The.voltages
on
the
computer
change
with
time
in
accordance
with
the
equations
that
govern
the
physical
system
variables.
The
be-
havior
of
the
computer
model
is
viewed
through
an
output
device
such
as
an
X-Y
plotter,
oscilloscope,
strip-chart
recorder,
or
digital
voltmeter.
This
TR-20
Reference
Handbook
has
been
prepared
to
serve
as
a
working
guide
to
the
analog
programmer
or
computer
operator.
The
information
contained
presupposes
a
knowledge
of
the
analog
computer,
its
basic
principles
of
operation,
and
programming
procedures.
(Instructional
information
in
these
areas
can
be
obtained
from
"Basics
of
Analog
Computer
Programming"
by
the
EAr
Education
and
Training
Group.)
Reaaers
interestea
in
more
detailed
circuit
information
are
referred
to
the
TR-20
Maintenance
·Manual.
2

CHAPTER
II
THE
TR-20
COMPUTER
AND
COMPUTING
COMPONENTS
1.
GENERAL
DESCRIPTION
The
PACE®
TR-20
(Figure
1)
is
a
general
purpose
analog
computer
composed
of
solid-
state
computing
components.
The
TR-20
is
compact
in
size
and
is
able
to
operate
with
stability
and
precision
in
a
normal
office
or
classroom
environment.
Reliable,
with
simplicity
in
functional
design,
the
TR-20
is
easy
to
use
and
can
be
a
powerful
aid
to
the
individual
engineer
in
the
rapid
solution
of
scientific
and
engineering
prob-
lems.
Table
I
lists
the
currently
available
computing
components
and
accessories
for
the
TR-20.
The TR-20
utilizes
a
building
block
concept,
in
which
individual
computing
components
may
be
easily
interconnected
to
solve
the
required
equations
by
forming
electronic
models
analogous
to
the
system
under
study_
Each
building
block,
either
individually
or
in
combination
with
others,
is
capable
of
performing
one
or
more
mathematical
operations.
The
computing
components
in
the
TR-20
occupy
the
area
above
the
slanting
control
panel
area.
This
area
is
divided
into
three
rows;
the
top
row
contains
the
coefficient
attenuators;
the
middle
row
houses
the
integrator
networks,
comparators,
and
other
non-linear
computing
components;
the
bottom
row
provides
space
for
twenty
(10
dual
units)
operational
amplifiers.
The
computing
components
are
constructed
on
plug-in
chassis,
and
the
front
of
each
computing
com-
ponent
consists
of
a
color-coded
plastic
patching
block
that
contains
the
input
and
output
terminations
for
the
unit.
The
computing
components
are
inter-connected
by
placing
patch
cords
or
bottle
plugs
between
the
appropriate
input
and
output
ter-
minations.
Most
TR-20's
are
equipped
with
a
removable
pre-patch
panel
that
allows
problem
patching
away from
the
computer.
The
pre-patch
panel
consists
of
a
rigid
aluminum
frame
with
individual
rows
that
contain
patching
blocks
identical
with
the
patching
blocks
that
form
the
front
panels
of
the
components.
Contact
between
the
pre-patch
panel
and
the
computing
components
is
accomplished
by
means
of
gold-plated
contact
springs.
Below
the
patching
area
is
the
monitoring
and
control
panel
area
which
contains
con-
trols
and
components
that
permit
(a)
switching
the
computer
on
and
off,
(b)
mode
control
of
the
computer,
and
(c)
measuring
statioriary
problem
voltages.
A
hinged
cover
plate
directly
below
the
control
panel
covers
the
amplifier
balancing
potenti-
ometers
and
the
variable
diode
function
generators.
2.
OPERATING
CONSIDERATIONS
The TR-20
is
completely
tested
and
calibrated
at
the
time
of
manufacture
and
is
shipped
with
all
components
in
place.
~fter
perform!gg_tl1e-pr~e_l~t!llinar,y-chJ~_c::k-g.p'!
procedure
outlined
in
the
TR-20
Maintenance
Manual,..>.
the
c0IIl:puter
is
ready
for
op~r-
a-tIo~':--'----'
~"------
~-
.
.--------------
--.....,..
---~
..
------.,~-.----.-
..
-
...
,
It
should
be
noted
that
the
low
voltage
levels
used
in
the
TR-20
eliminate
any
shock
hazard
to
the
operator
when
patching
components
with
the
computer
turned
on.
Current-
limiting
circuits
protect
the
reference
supplies
from
damage
during
short-term
over-
loading
if
they
are
inadvertantly
patched
to
ground
or
to
each
other.
A
patching
con-
nection
that
is
dangerous
to
a
component
usually
triggers
the
overload
alarm
system.
3

Figure
1.
The
TR-20
Desktop
Analog
Computer
with
Display
Units
4

GROUP
1
2a
2b
3a
3b
4a
4b
4c
4d
5a
5b
5c
6a
6b
6c
6d
TABLE
I.
TR-20
COMPONENTS
COMPONENT
COMPUTING
COMPONENTS
Dual
DC
Amplifier
Dual
Integrator
Network
(Non Rep-Op)
Dual
Repetitive
Operation
Integrator
Network
Quarter-Square
Multiplier
Bi-Po1ar
Quarter-Square
Multiplier
X2
Diode
Function
Generator
Log X
Diode
Function
Generator
1/2
Log X
Diode
Function
Generator
Sine/Cosine
Function
Generator
Variable
Diode
Function
Generator
Group
Consists
of:
-Variable
Diode
Function
Generator
+Variab1e
Diode
Function
Generato~
VDFG
Readout
Module
Variable
Diode
Function
Generator
Group
Consists
of:
+Variab1e
Diode
Function
Generator
-Variable
Diode
Function
Generator
VDFG
Readout
Module
Variable
Diode
Function
Generator
Group
Consists
of:
+Variab1e
Diode
Function
Generator
VDFG
Readout
Module
Attenuator
Group
Attenuator
Group
Attenuator
Group
Attenuator
Group
MODEL
NUMBER
6.712
12.1116
12.1115
7.045
7.137*
16.101
16.126
16.133
16.313/1016.004*
2.713
16.154-1
16.156-1
16.310
2.645-0
16.304-1
16.306-1
16.308
2.748
16.165-1
16.310
42.183
42.187
42.188
2.128
5
I

GROUP
7a
7b
Tc
8a
8b
9
10
11
12
6
COMPONENT
COMPUTING
COMPONENTS
(Cont)
Consists
of:
Attenuator
Panel
Readout
Module
Reference
Network
Tiepoint
Network
Dual
Function
Switch
Group
Consists
of:
Function
Switch
Assembly
Readout
Module
Relay
Comparator
Electronic
Comparator
POWER
AND
REFERENCE
SUPPLIES
Regulated
Power
Supply
Reference
Regulator
Dual
DC
Amplifier
OPTIONAL
COMPONENTS
AND
ACCESSORY
EQUIPMENT
Repetitive
Operation
Expansion
Group
Consists
of:
High
Speed
Repetitive
Operation
Control
Panel
Repetitive
Operation
Timing
Unit
Dual
Repetitive
Operation
Integrator
Networks
MODEL
NUMBER
42.
185
12.265
12.266
12.267
2.127
20.366
12.264
6.143
40.538
10.179
43.037
6.282
2.246
20.532
36.082
12.1115

GROUP
13
14
15
16
17
18
19
20
21
22
1
2
COMPONENT
OPTIONAL
COMPONENTS
AND
ACCESSORY
EQUIPMENT
Display
Unit**
Reactor
Kinetics
Group
Transport
Delay
Simulator
Audio
Overload
Alarm
S
lave
Cable
Patching
Kit
Service
Shelf
AC
Power
Cable
Pre-Patch
Panel
Rep-Op
Slave
Panel
AUXILIARY
EQUIPMENT
VARIPLOTTER®
Repetitive
Operation
Display
Unit
MODEL
NUMBER
12.987
2.475*
2.448*
13.017
510.038
100.007
51.039
51.040
5
..
235
20.567
1110*
The
operator
should
be
familiar
with
the
following
paragraphs
before
attempting
to
use
the
computer·.
*These
Components
described
in
separate
manuals.
**This
Component
not
required
if
the
Electronic
Comparator,
Model
40.538
is
provided.
7

a.
Insertion
of
the
Pre-Patch
Panel
Before
inserting
the
pre-patch
panel,
the
operator
should
verify
that
the
patch
blocks
on
the
pre-patch
panel
are
aligned
in
the
same
order
as
the
computing
components.
Hold
the
pre-patch
panel
at
a
slight
angle
and
place
it
in
the
patch
bay
groove;
see
Figure
2.
Move
the
pre-patch
panel
to
th~
right
until
it
contacts
the
right-
hand
side
of
the
patch
bay.
Gently,
push
the
pre-patch
panel
forward
until
it
is
flush
with
the
computer.
Turn
the
locking
lever
down;
the
pre-patch
panel
will
slide
to
the
left.
To
remove
the
pre-patch
panel,
apply
a
light
pressure
to
the
panel
to
keep
it
from
falling
forward
when
dis-engaged,
and
lift
the
locking
lever.
b.
Feedback
for
the
Amplifiers
All
operational
amplifiers
should
be
provided
with
feedback
whenever
the
computer
is
turned
on.
Bottle
plugs,
connected
as
shown
in
Figure
3a,
provide
feedback
and
prepare
the
amplifiers
for
use
as
standard
inverters
or
summers.
c.
Application
of
Power
Connect
the
computer
line
cord
to
a
receptacle
following
the
precautions
given
in
the
TR-20
Maintenance
Manual,
and
place
the
OFF-ON
switch
to
the
ON
position.
Place
the
RESET-HOLD-OPER
switch
to
the
RESET
~osition.
Initially,
the
amplifier
over-
load
alarm
system
will
be
triggered
due
to
transients;
after
a
few
seconds,
the
over-
load
indication
should
cease.
d.
Amplifier
Balance
Under
normal
circumstances,
the
amplifiers
will
remain
balanced
for
periods
of
weeks.
However,
at
intervals
it
is
desirable
to
check
this
condition.
If
an
amplifier
is
found
to
be
unbalanced,
an
adjustment
should
be
made.
If
the
check
indicates
that
the
amplifier
balance
is
rithin
tolerance,
no
adjustment
is
necessary.
The
amplifier
must
have
some
sort
of
feedback
in
order
to
be
balanced.
Normally,
this
requirement
is
satisfied
by
the
circuit
in
which
the
amplifier
is
used.
The
amplifier
may
be
balanced
while
normal
inputs
are
applied.
Each
amplifier
has
a
balance
potentiometer
located
behind
a
hinged
cover
plate
below
the
Control
Panel
(Figure
4).
The
balance
controls
are
labeled
with
the
number
of
the
amplifier
they
serve.
To
set
a
balance
control,
proceed
as
follows:
(1)
Place
the
computer
in
the
reset
mode.
Place
the
VoltmetEr
Function
switch
in
the
BAL
position.
Rotate
the
AMPL
SEL
switch
to
the
number
of
the
ampli-
fier
to
be
balanced.
(2)
Vary
the
appropriate
Amplifier
Balance
control
until
the
Vokmeter
reads
within
two
or
three
divisions
of
zero.
(The
amplifier
overload
alarm
system
may
be
triggered
during
the
balancing
process.)
8

l-
I
Figure
2.
Inserting
the
Pre-Patch
Panel
9

10
SJ
FOR
SPECIAL
OUTPUTS
INPUT
RESISTORS
INPUTS
Z
GAIN
GAIN
10
GAIN 0.1
GAIN I
1[>
b.
AN
INVERTER
GAIN OF
0.1
{
{
{
y
AMPLIFIER
I
10
10
AMPLIFIER
2
10
O.
PATCHING WITH
BOTTLE
PLUGS
X
:[>
-Z
-(X
+y)
y
C.
A
SUMMER
Z
-O.I(X+Y+Z)-A
GAIN
OF
I A
10
.
d. A HIGH
-GAIN
AMPLIFIER
PATCHED
FOR
GAINS OF 0.1 AND I
Figure
3.
The
6.
712
Dual DC
Amplifier,
Showing
Use
of
Bottle
Plugs

NULL POT
REFERENCE
SELECTOR
SWITCH
VOLTMETER
FUNCTION SWITCH
Figure
4.
The
TR-20
Control
Panel
VOLTMETER
ANGE SWITCH
11
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