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Drive System Engineering. Presented by: Ken Zaballos FIRST Team 1983 – Skunk Works Robotics Mechanical Engineer Boeing Research & Technology 777X Wing Assembly Technology Development ken.zaballos@gmail.com. Today’s Session. Drive System Design Process Lift System Case
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Drive System Engineering Presented by: Ken Zaballos FIRST Team 1983 – Skunk Works Robotics Mechanical Engineer Boeing Research & Technology 777X Wing Assembly Technology Development ken.zaballos@gmail.com
Today’s Session Drive System Design Process Lift System Case Lift a load within a given time Motor Characteristics Motor Selection Gearbox Selection This IS the math!
Today’s Case: Lift Systems ARMS Arms, Elevators, Drivetrain The process is the same. ELEVATORS
ELEVATOR LIFT SYSTEM Motor Drivetrain Reduction Load Chain and sprocket lift system
Key Performance Parameters Drive Sprocket ? ? ? Motor Drivetrain Reduction Figure these out when you decide how you want to play the game ? in KPPs: 40 lbs 44 in 1 second ? lbs
Some Terms and Things • Force = a push or pull upon an object • Torque = a twisting force that tends to cause rotation. • Voltage = an electromotive force or potential difference • Current = a flow of electrical charge • Friction = the resistance one object encounters when moving over another • Efficiency = the effectiveness of transforming power input to an output force and movement • PMDC = Permanent Magnet Brushed DC Motor
Key Motor Values • Stall Torque • Torque at the output shaft when it can’t rotate • Stall Current • Current draw when the output shaft can’t rotate • Free Current • Current draw when the output shaft is free • Free Speed • Speed of the output shaft when it is free
Motor Data from FIRST (2015) All values @ 12VDC http://www.usfirst.org/sites/default/files/2015%20Motor%20Information.pdf
Speed-Torque Speed (RPM) Torque (Oz-In) CONVERT TO SI UNITS FOR CALCULATIONS!
Power-Torque P=Torque*Speed P = (, ) Power (Watts) Speed (RPM) Torque (Oz-In) CONVERT TO SI UNITS FOR CALCULATIONS!
Power-Torque Max Power Power (Watts) Speed (RPM) Torque CONVERT TO SI UNITS FOR CALCULATIONS!
Current-Torque Power (Watts) Speed (RPM) Current (Amps) Torque Torque CONVERT TO SI UNITS FOR CALCULATIONS!
Efficiency Mechanical Power = Electrical Power = Efficiency = Mechanical Power / Electrical Power e = Power (Watts) Speed (RPM) Current (Amps) Efficiency (%) Torque Torque CONVERT TO SI UNITS FOR CALCULATIONS!
Efficiency e = Power (Watts) Speed (RPM) Current (Amps) Efficiency (%) Torque Torque CONVERT TO SI UNITS FOR CALCULATIONS!
Efficiency NEVER DESIGN TO THE RIGHT OF PEAK POWER! Peak Power Peak Efficiency e = Power (Watts) Speed (RPM) Current (Amps) Efficiency (%) Smoke! Torque Torque CONVERT TO SI UNITS FOR CALCULATIONS!
Motor Data from FIRST (2015) Not necessarily at a usable current http://www.usfirst.org/sites/default/files/2015%20Motor%20Information.pdf
MOTOR PRIORITIES Rank motors by power @ 30 amps Eliminateweakmotors
How much power do we need? Hint: Convert to SI units! ? ? ? KPPs: 40 lbs = 177.9N 44 in = 1.118m 1 seconds 44in 40 lbs We need a motor that can deliver AT LEAST 226 watts.
= Torque at max allowed current = Maximum allowed current draw = Stall torque = Motor free current = Motor stall current Max Motor Torque (Design) The Algebra is left to the student as an exercise!
Calculate Max Motor Torque (Design) • = 30 amps (a design choice) • = 0.78 Nm (from motor data) • = 1.8 amps (from motor data) • = 86.7 amps (from motor data)
Calculate Torque on the Output Shaft Sprocket: #25, 16T 0.26 Nm 2.88 Nm ? ? P.D. 44in 16T, #25 Chain (Design Choice) 40 lbs www.vexpro.com
What is a Gear Reduction? 40T 12T A gearbox REDUCES speed A gearbox INCREASES torque Motor Drives Small Gear
Ratios in gear trains F t1 ,w1 r1 r2 t2 ,w2 F v = r1 * w1 t1 = r1 * F v = r2 * w2 t2 = r2 * F w2 = (r1 / r2) * w1 t2 = (r2 / r1) * t1 Reduces Speed Increases Torque
Find Required Gearbox Reduction 0.26 Nm 2.88Nm ? Gearbox Reduction? 40 lbs THIS WOULD BE A BIG MISTAKE!
Mechanical Efficiency • Friction (primary source of inefficiency) • Gear meshing (center-center distance) • Gear form accuracy • Lubrication • Cleanliness • Bearings • Rules of thumb* • Sprocket (chain) = 95% • Spur gear stage = 95% • Planetary Stage = 75% • Depends on the number of planets, lubrication, quality • Worm gear = 60% *-YOUR ASSUMPTIONS MAY VARY Involute gear form
Find Required Gearbox Reduction(considering mechanical efficiency) 0.32 Nm 2.88Nm ? Gearbox Reduction? Stage 1 Stage 2 Sprocket Carriage Vexpro planetary gearbox 40 lbs Pick the nearest BIGGER reduction you can make. 2 stages 3:1and 9:1 = 27:1 2 stages 4:1and 7:1 = 28:1 (more durable) http://www.vexrobotics.com/vexpro/motion/gearboxes/versaplanetary.html
Is this good enough? • No? • Decrease Gearbox Load (can be difficult) • Increase Gearbox Power (use bigger motor or add a motor) • Live with the low speed… • Risk failure • Design is all about tradeoffs • Finally, • Design for one motor (torque and speed) • Then, add another motor! • Factor of Safety = 2!
Important things to consider • Motors are rated @ 12VDC • Batteries are only 12VDC once during a match! • Circuits are limited to 20, 30 and 40 amps. • Motor Controller (PWM) • Pulse Wave Modulation – understand how it works • PID control • Proportional-Integral-Differential – understand how it works and practice tuning them. • Mechanical efficiency of the things you build • Accuracy and quality play huge roles • Typically, make your system go FAST!
Important Equations Speed at a given torque Current at a given torque Power output Motor efficiency e = Torque at Design current Gearbox reduction Output Shaft Speed Time to lift
Useful Websites • www.andymark.com(robot marketplace) • www.vexpro.com(robot marketplace) • www.banebots.com(motors and gearboxes) • www.digikey(electronics) • www.chiefdelphi.com(technical and social) • www.onlinemetals.com(raw material) • www.mcmaster.com(everything else)
THE END GOOD LUCK! WE’LL SEE AT THE COMPETION, or sooner if you want some help!