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Analysis and Full Scale Testing of the Joby S4 Propulsion System 1 Alex Stoll / 3 August 2015

Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 1: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

Analysis and Full Scale Testing of

the Joby S4 Propulsion System

1 Alex Stoll / 3 August 2015

Page 2: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 3: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 4: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

S4 vs. R44

4

S4 R44

Disk loading 9.4 lb/ft2 2.9 lb/ft2

Rotor diameter 9.5 ft each 33 ft

Max gross weight 4,000 lb 2,500 lb

Max payload 840 lb 828 lb

Nominal hover performance (estimated)

Shaft power 560 hp 245 hp

Power loading 7.1 lb/hp 10 lb/hp

Rotor tip speed 370 ft/s 705 ft/s

Cruise performance (estimated)

Cruise speed 200 mph 135 mph

Shaft power 113 hp 190 hp

Max range at cruise speed 200 mi 300 mi

Range at max payload 181 mi 175 mi

Page 5: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

5

$0

$1

$2

$3

$4

$5

$6

$7

$8

$9

30 50 70 90 110 130 150 170 190

Fare

pri

ce p

er

mile

fo

r a 2

00-m

i trip

Block speed (mph)

Robinson R44

Joby S4

Uber X (LA)

Uber X (NY)

Page 6: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

Motor-out trim

6

0% 150%

0% 150%

150% 150%

Page 7: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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1

1.1

1.2

1.3

1.4

1.5

6 7 8 9 10 11 12

Mo

tor-

out

trim

thru

st incr

ease

Number of propellers

Page 8: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 9: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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𝑏 ≥ 2𝑅𝑁

𝐴𝑅 ≥2𝑅𝑁 2

𝑆

𝐴𝑅 ≥ 𝑁24𝐴

𝜋𝑆

𝐴𝑅 ≥4

𝜋𝑁2

𝑊/𝑆

𝑇/𝐴

Page 10: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Radius

(disk loading)

Power

Tip speed

Solidity

Nacelle weight

and drag

Battery weight

Max torque

Controller weight

Motor weight

Noise

Bird strike

Downwash

Page 11: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 12: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

12 2,850 N (640 lb) thrust at 15 m (50 ft)

“Noise Detectability Prediction Method for Low Tip Speed Propellers,” Barry, F.W., and Magliozzi, B., 1971

Theory

Experiment

Page 13: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Hover

3,100 N (700 lb)

Transition

45 m/s (87 kt)

1,000 N (230 lb)

Page 14: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Radius

Solidity

Hover CL

Inner twist

Outer twist

Blade

element

code

Transition RPM

Hover power

Transition power

Airfoils

Page 15: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0

0.5

1

r/R

c/R/

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-10

0

10

20

30

r/R

Tw

ist

(deg

rees)

Constrained to

facilitate folding

Inner twist Outer twist

Page 16: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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Page 17: Analysis and Full Scale Testing of the Joby S4 Propulsion ... · 5 $0 $1 $2 $3 $4 $5 $6 $7 $8 $9 30 50 70 90 110 130 150 170 190 0-p Block speed (mph) Robinson R44 Joby S4 Uber X

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