Analog Computers

Reference / Paper · 2022

Electronics Fun & Fundamentals: Analog Reborn

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A Make: magazine article by Charles Platt introducing analog computing concepts through a simple DIY project called EASY (Elementary Analog SYstem), derived from the 1961 General Electric EF-140 kit. The project uses three potentiometers and a multimeter to perform basic analog multiplication, division, and square root operations. The article also discusses the resurgence of analog computing, referencing Anabrid GmbH's educational product THAT (The Analog Thing) and the historical context of analog computers in aircraft simulation.

Manufacturer
Make Magazine
System
EASY (Elementary Analog SYstem); The Analog Thing (THAT)
Author
Charles Platt
Year
2022
Type
Reference / Paper
Language
English
Learning track
introduction
Pages
1
  • EASY (Elementary Analog SYstem); The Analog Thing (THAT)
  • Make Magazine
  • analog computer
  • potentiometer
  • analog multiplication
  • maker project

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Electronics Fun & Fundamentals: Analog Reborn

Explore All Stories Learn Magazine Projects Experience Participate Board Guide Shop Make:cast New Log In Magazine Issues Subscribe  Ask Make: Maker Faire PROJECTS FROM MAKE: MAGAZINE MATERIALS Electronics Fun & Fundamentals: Analog Reborn Potentiometers (3) Galvanometer (optional) Alligator jumper wires 9V battery Multimeter  FEEDBACK ⎙ Print this Project Time Required: 1–3 Hours Difficulty: Easy Price: $0-$50  December 9th, 2022 By Charles Platt In the early 1950s, aircraft development created an urgent need for simulations, and analog computers were ideally suited to run flight simulators. Digital computers barely existed in those days, but aircraft dynamics could be modeled by the flow of electric current through potentiometers, amplifiers, and capacitors. Such circuits were analogous to the real world, and so they became known as analog computers. Figure A: Two EAI PACE analog computers back in the day, 1956 You could describe almost all aspects of aircraft performance with differential equations, and the terms in these equations were represented by chaining together analog modules using patch cords on a plug board. This created a formidable tangle of wires, but once you got it right, the output on an oscilloscope screen was immediate, with no processing or programming necessary. Figure A shows an installation at the NASA Glenn Research Center in 1956. (Note the plug boards.) As late as 1963, analog computation was still being used to create a cockpit simulation of a space vehicle docking in orbit. But microchips promised greater accuracy with much less maintenance, and they became less expensive. By the mid-1970s, analog was obsolete. Or was it? In 2020, Professor Doctor Bernd Ulmann cofounded Anabrid GmbH in Frankfurt, Germany, to develop chip-based analog computers. The company also introduced an educational product named The Analog Thing , abbreviated as THAT. Digital computers running complex simulations had become increasingly power-hungry and plagued with problems such as heat dissipation, prompting Ulmann and his colleagues to foresee a new role for analog. Subscribe to Make: for this and more projects and articles. Figure B: The Analog Thing, also known as THAT, 2022 THAT is now available to buyers in the United States for less than $350, including shipping (see Figure B ). “Our goal is to bring the idea of analog computing back to the world,” Ulmann states. “We have hobbyists, musicians (controlling analog synthesizers), many students, sometimes large companies. There is a THAT group at Facebook where users ask questions and post their computer setups. They have simulated events such as a bungee jump with a quite realistic rubber rope, and gravitational waves, neurons, many more.” Ulmann claims that seriously challenging tasks, such as creating an epidemiological model, “can be done easily” with THAT. And if a problem gets too big, one THAT can be daisy-chained with another. The key is to express a phenomenon as a series of mathematical terms, each represented by a computing element. Connect them together, and the input flows directly to the output. THAT is open-source, because Ulmann wants to encourage innovation and analog literacy, although he sees THAT being integrated with digital systems. “We have a little application example showing how an Arduino can be used as the digital part of a hybrid computer setup,” he says. “The community has already come up with a data logger and an Arduino-based oscilloscope.” And to spread the gospel, he has written a book titled Analog and Hybrid Computer Programming. Meanwhile, you can build your own basic analog computing device for around $5 (see the following project) to understand how they work. The best way to understand an analog computer is to build one, which you can do on a very limited scale using only three potentiometers and a multimeter. This little project is derived from the EF-140 kit marketed in 1961 by General Electric (see Figure C). Because analog computers always seem to have names consisting of acronyms, I’m calling my version EASY, for Elementary Analog SYstem. Figure C TIME REQUIRED: 1-2 hours DIFFICULTY: Easy COST: $5-15 Fig D: Minimal analog circuit for multiplying two numbers Fig E: The analog circuit can be built quickly from jumper wires Fig F: Your dial design should be customized to match the actual rotation range of each potentiometer The schematic for EASY is shown in Figure D, and indeed it’s so easy, you can assemble it with alligator jumper wires, as in Figure E. You do need to put in a bit of extra work, though, by mounting pointers on the potentiometers and adding dials like the one in Figure F. Put a blank circle of paper on the front of each potentiometer and use your meter to measure the resistance between the wiper and the left terminal, while you turn the shaft and mark 10 equal intervals between the ends of the range. How do you use EASY? Well, it’s — simple. Here’s a quick demo for doing multiplication: First move the wiper of Pot A to a position such as 0.3 on the dial. If letter V represents the voltage of your supply, the wiper of Pot A will tap a voltage of 0.3 * V . This is passed along to the top of Pot B, so if you set its wiper to a position labeled 0.7, the voltage there will be 0.7 * 0.3 * V — right? Fig G: Deluxe version of EASY analog computing device, with solid wood case, texture ABS faceplate, and optional galvanometer. Shown multiplying 0.3 by 0.7. Turn Pot C till there is no difference in voltage between points VA and VB in the schematic, measured with your meter (although I used a $9 galvanometer to get that authentic analog look, as in Figure G ). Pot C now points to 0.21 on its scale. Yes, you just proved that 0.7 * 0.3 = 0.21 (approximately). The answer won’t be precise, because Pot B steals a bit of current from Pot A. To minimize this, I used a 100K value for Pot B while Pot A is only 1K. You can learn some general lessons from your EASY demo. Analog components must be accurately made, inputs are prone to error, results are always approximate, and if you have more than a couple of modules in your computer, voltage amplifiers will be necessary. Still, the output is immediate and your three-pot computer is versatile. You can use it for division: Set a number on Pot C, divide it by a number on Pot B, and read the result off Pot A when you zero the voltage between VA and VB. You can even do a square root: Set a number on Pot C, then turn pots A and B till their values are the same while the voltage between VA and VB is zero. This is another feature of analog computation: Changing the sequence of operations enables you to process different formulae. If you want to know how to build serious analog modules, you can find basic circuits in “A Practical Approach to Analog Computers (pdf) ,” archived by The Analog Museum. Fig H: This Heathkit ES-400 analog computer was beautifully restored by David Goodsell. Photo reprinted by permission of Nuts & Volts magazine, nutsvolts.com Or, you can hunt for vintage kits such as the Heathkit ES-400 (shown in Figure H), which used 73 vacuum tubes for its op-amps. Supposedly, it weighed 168lbs, so if you find one on eBay, don’t expect free shipping. FROM THE SHED: NEW ARRIVALS Oxocard Pixelmatrix Cartridge Make: Oxocard Innovator Kit Oxocard Synthesizer Cartridge Get Make: Magazine v1 $30.00  Tagged analog $60.00 Electronics $35.00 $19.99 make83 Charles Platt Charles Platt is a contributing editor to Make magazine, which has published more than 50 of his articles. Several of his books are available from Make: Books, including: Make: Electronics, an introductory guide, now available in its third edition. Make: More Electronics, a sequel that greatly extends the scope of the first book. Encyclopedia of Electronic Components, volumes 1, 2, and 3 (the third written in collaboration with Fredrik Jansson). Make: Tools, which uses the same teaching techniques as Make: Electronics to explore and explain the use of workshop tools. Make: Easy Electronics, a quick, simple, tool-free introduction to electronics. 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