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Defining robot performance requirements and learning how
customized solutions can be the key to success.
Designing From the Inside-Out
Doug Olson
President / CEO
Harmonic Drive LLC
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
1
Empower Your Robot!®
Agenda
• Brief Company Overview
• Product Line Overview
• Technology Overview
• Your Design Requirements
• Mechanical Modifications & Implications
• Performance Customizations
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
2
Harmonic Drive Systems
(Japan)
Company Overview
Harmonic Drive LLC
(Peabody, MA)
Harmonic Drive AG
(Germany)
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
3
Component Sets ActuatorsGear Units & Gearheads
Product Line Overview
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
4
Harmonic Drive® Gear Characteristics
• Zero Backlash
• High Reduction Ratio
• In-line Configuration
• 30:1 To 160:1 Reduction In A Single Stage
• Gear Ratios Determined By Number Of Gear Teeth
• Weight And Size Are Independent Of Gear Ratio
Technology Overview
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
5
Circular Spline
Wave Generator
Flexspline
Harmonic Drive® Component Set
The Gear is Comprised of Just Three Basic Components
Harmonic Drive® Component Set
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
6
Click Here to Launch a YouTube Video
Your Design Requirements
Physical Constraints
• Dimensional
• Weight
• Inertia
Environmental
• Operating Temperature
• Vacuum
• Corrosion Resistance
• IP Rating
• Radiation
Life Requirements
• Duty Cycle
• MTBF
• Emergency Stops
Performance Requirements
• Torque / Speed
• Accuracy
• Repeatability
• Dynamic Response
• Velocity Ripple
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
7
One Size Doesn’t Fit All
• > 70% Of The Products We Produce Are “Specials”
– Therefore, Specials Are Standard
• Our Discussion Today is About Component Sets, but
the Principles Are Common To All Product Lines
– Mechanical Modifications
– Performance Customization
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
8
Mechanical Modifications
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
9
Modification Difficulty Cost Tradeoff
CS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
CS Outside Diameter Difficult Production Tooling
Fixtures needed if test data
is required
CS Weight reduction Easy Moderate
Excessive weight reduction
will lower torsional stiffness
CS Material Change
(Stainless Steel)
Easy Moderate None
Circular Spline Modifications
BCD ø
BH ø
• Torque transmission must be evaluated if
smaller or fewer screws are used.
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
10
Circular Spline Modifications
OD ø
Modification Difficulty Cost Tradeoff
CS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
CS Outside Diameter Difficult Production Tooling
Fixtures needed if test
data is required
CS Weight reduction Easy Moderate
Excessive weight reduction
will lower torsional stiffness
CS Material Change
(Stainless Steel)
Easy Moderate None
• Rabbet or OD can be used to pilot the CS.
• The rabbet can be eliminated.
Rabbet ø
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
11
Circular Spline Modifications
Modification Difficulty Cost Tradeoff
CS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
CS Outside Diameter Difficult Production Tooling
Fixtures needed if test
data is required
CS Weight reduction Easy Moderate
Excessive weight reduction
will lower torsional stiffness
CS Material Change
(Stainless Steel)
Easy Moderate None
• Typical Weight Reduction
• T cross section
• Pocketing of CS
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
12
Circular Spline Modifications
Modification Difficulty Cost Tradeoff
CS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
CS Outside Diameter Difficult Production Tooling
Fixtures needed if test
data is required
CS Weight reduction Easy Moderate
Excessive weight reduction
will lower torsional stiffness
CS Material Change
(Stainless Steel)
Easy Moderate None
• Typical Weight Reduction
• T cross section
• Pocketing of CS
• Standard Material – Ductile Iron
• Options
• Low temp chrome plating
• 17-4PH, 15-5PH
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
13
Flexspline Modifications
BCD ø
BH ø
Pilot ø
Modification Difficulty Cost Tradeoff
FS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
FS Pilot Diameter Easy Minimal
Fixtures needed if test
data is required
FS Material Change
(Stainless Steel)
Moderate More Significant
Possible reduction in life
depending on load
conditions
• This is the weakest connection point
• If modifying, verify torque transmitting
capacity
• Consider use of Dowel Pins
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
14
Flexspline Modifications
Modification Difficulty Cost Tradeoff
FS Hole Pattern Easy Minimal
Fixtures needed if test
data is required
FS Pilot Diameter Easy Minimal
Fixtures needed if test
data is required
FS Material Change
(Stainless Steel)
Moderate More Significant
Possible reduction torque
specifications
• Standard Material: 4340
• Options: 15-5PH, 17-4PH
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
15
Wave Generator Modifications
WG Bore ø
Modification Difficulty Cost Tradeoff
WG Bore change
(w/ Oldham coupling)
Easy Minimal
Fixtures needed if test
data is required
WG Bore Change
(Solid wave generator)
Easy Production Tooling
Fixtures needed if test
data is required
WG Material Change
(Stainless Steel)
Easy Moderate None
WG Weight / Inertia
Reduction
Moderate Moderate
Excessive weight
reduction will lower
torsional stiffness
Stainless Steel Wave
Generator Bearing
Easy Significant
Long lead time
Reduced bearing life
Bearing Separator
Material Change (Brass,
Phenolic…)
Moderate
Moderate to
significant
depending on
quantity
Lead time
• Semi-standard sizes are readily available
• Custom sizes available up to max
diameter limit
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
16
Wave Generator Modifications
Modification Difficulty Cost Tradeoff
WG Bore change
(w/ Oldham coupling)
Easy Minimal
Fixtures needed if test
data is required
WG Bore Change
(Solid wave generator)
Easy Production Tooling
Fixtures needed if test
data is required
WG Material Change
(Stainless Steel)
Easy Moderate None
WG Weight / Inertia
Reduction
Moderate Moderate
Excessive weight
reduction will lower
torsional stiffness
Stainless Steel Wave
Generator Bearing
Easy Significant
Long lead time
Reduced bearing life
Bearing Separator
Material Change (Brass,
Phenolic…)
Moderate
Moderate to
significant
depending on
quantity
Lead time
• Standard Material: Steel
• Options: 15-5PH, 17-4PH
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
17
Wave Generator Modifications
Modification Difficulty Cost Tradeoff
WG Bore change
(w/ Oldham coupling)
Easy Minimal
Fixtures needed if test
data is required
WG Bore Change
(Solid wave generator)
Easy Production Tooling
Fixtures needed if test
data is required
WG Material Change
(Stainless Steel)
Easy Moderate None
WG Weight (Inertia)
Reduction
Moderate Moderate
Excessive weight
reduction will lower
torsional stiffness
Stainless Steel Wave
Generator Bearing
Easy Significant
Long lead time
Reduced bearing life
Bearing Separator
Material Change
(Brass, Phenolic…)
Moderate
Moderate to
significant
depending on
quantity
Lead time
• Wave Generator weight reduction is highly
effective in improving the dynamic
response of the system. Precision in
assembly is required if no Oldham
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
18
Wave Generator Modifications
Modification Difficulty Cost Tradeoff
WG Bore change
(w/ Oldham coupling)
Easy Minimal
Fixtures needed if test
data is required
WG Bore Change
(Solid wave generator)
Easy Production Tooling
Fixtures needed if test
data is required
WG Material Change
(Stainless Steel)
Easy Moderate None
WG Weight / Inertia
Reduction
Moderate Moderate
Excessive weight
reduction will lower
torsional stiffness
Stainless Steel Wave
Generator Bearing
Easy Significant
Long lead time
Reduced bearing life
Bearing Separator
Material Change
(Brass, Phenolic…)
Moderate
Moderate to
significant
depending on
quantity
Lead time
• Wave Generator weight reduction is highly
effective in improving the dynamic
response of the system. Precision in
assembly is required if no Oldham
• 440C Bearings are typically only used for
space flight applications
• Environmental conditions sometimes
requires bearing separator material
changes (temperature extremes, vacuum,
radiation)
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
19
Mechanical Modifications
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
20
Performance Customization
Accuracy
Torsional Stiffness
Starting Torque
Back-driving Torque
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
21
• Repeatability is defined as ± ½
the maximum difference in
position when returning to the
same point multiple times from
the same direction.
(Single Direction Repeatability)
Accuracy vs Repeatability
• Accuracy is defined as the
difference between the
commanded position and
the actual position of the
gear.
• 𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒 =
∅𝑖𝑖 𝑖𝑖 𝑖𝑖𝑖𝑖𝑖𝑖
𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟
− ∅𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜
• We measure the accuracy of
the gear throughout one full
revolution of the output and
define that as
transmission error
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
22
Positional Accuracy
Modification Difficulty Cost Tradeoff
High Accuracy Relatively easy Minimal None
Increased Torsional
Stiffness
Relatively easy Minimal Increased starting torque
Low Starting Torque Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
Low Back-driving
Torque
Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
• Typical Accuracy* <1 arc-min
• Improved Accuracy < 30 arc-sec
• High Accuracy specification is beneficial for:
• Precise positioning applications
• When low velocity ripple is required
• Velocity Ripple ~ d/dt (Position Error)
• When vibration is of critical concern
• Vibration ~ d2/dt2 (Position Error)
• Test data can be provided
• Repeatability is typically ± 5 arc-sec
27.72 arc-sec
1 Wave Generator
Revolution = 2 Cycles
* Size 20 and larger
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
23
Torsional Stiffness
Modification Difficulty Cost Tradeoff
High Accuracy Relatively easy Minimal None
Increased Torsional
Stiffness
Relatively easy Minimal Increased starting torque
Low Starting Torque Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
Low Back-driving
Torque
Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
• Torsional Stiffness of Harmonic Gearing is
non-linear
• Broken into three regions K1, K2, K3
• Catalog values are typical and not
guaranteed minimums.
• High stiffness specification is beneficial for
• Precise positioning applications where
load conditions may vary (minimize
deflection)
• Vibration reduction due to increase in
resonant frequency of the system
• Values are verified with test data providedK1 Stiffness is the region where the greatest
increase is achieved
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
24
Starting & Back-driving Torque
Modification Difficulty Cost Tradeoff
High Accuracy Relatively easy Minimal None
Increased Torsional
Stiffness
Relatively easy Minimal Increased starting torque
Low Starting Torque Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
Low Back-driving
Torque
Relatively easy Minimal
Lower torsional stiffness
(depending on
requirement)
• Low starting torque beneficial to minimize
dead band when in current mode
• Low Back-driving torque is beneficial when
the robot arm need to be manually
positioned by a user – such as for a cobot
or surgical robot
• The size of gear, reduction ratio as well as
the type and amount of lubricant will also
have a large influence
• Both of these characteristics are inter-
dependent with torsional stiffness
• Typically with careful selection of the gear
type, size & gear tooth profile, all
requirements can be met
• In applications where back-driving is not permissible, a brake or other
failsafe device must be used. In no circumstance should the gear set’s
published Back Driving Torque value be relied upon to prevent
movement of the assembly
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
25
Custom Actuators & Gear Units
• Custom actuators and gear units are also available
• Minor modifications to completely custom designs
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
26
In Closing
• Conceptual and Preliminary design reviews are
invaluable to identify opportunities for improvements
to assure a successful implementation.
• We are always available to
provide design & engineering
support –free of charge.
• Our Goal is Your Success
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
27
Learn More About the Inventor!
https://www.youtube.com/watch?v=1sQK1dmzT04&feature=youtu.be http://www.waltmusser.org
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
28
Doug Olson
Harmonic Drive LLC
DOlson@HarmonicDrive.net
Questions?
Chris Simo
Electromate (Toronto)
Chris@Electromate.com
(905) 850-7447
Rich Kawko
Harmonic Drive LLC
Rkawko@HarmonicDrive.net
(978) 573-3482
Stamati Georgaris
Electromate (Montreal)
Stamati@Electromate.com
(905) 850-7447
Copyright 2018 Harmonic Drive LLC - All Rights Reserved
29

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Harmonic drive llc robotics symposium presentation-designing from the inside out; defining robot performance requirements

  • 1. Defining robot performance requirements and learning how customized solutions can be the key to success. Designing From the Inside-Out Doug Olson President / CEO Harmonic Drive LLC Copyright 2018 Harmonic Drive LLC - All Rights Reserved 1
  • 2. Empower Your Robot!® Agenda • Brief Company Overview • Product Line Overview • Technology Overview • Your Design Requirements • Mechanical Modifications & Implications • Performance Customizations Copyright 2018 Harmonic Drive LLC - All Rights Reserved 2
  • 3. Harmonic Drive Systems (Japan) Company Overview Harmonic Drive LLC (Peabody, MA) Harmonic Drive AG (Germany) Copyright 2018 Harmonic Drive LLC - All Rights Reserved 3
  • 4. Component Sets ActuatorsGear Units & Gearheads Product Line Overview Copyright 2018 Harmonic Drive LLC - All Rights Reserved 4
  • 5. Harmonic Drive® Gear Characteristics • Zero Backlash • High Reduction Ratio • In-line Configuration • 30:1 To 160:1 Reduction In A Single Stage • Gear Ratios Determined By Number Of Gear Teeth • Weight And Size Are Independent Of Gear Ratio Technology Overview Copyright 2018 Harmonic Drive LLC - All Rights Reserved 5
  • 6. Circular Spline Wave Generator Flexspline Harmonic Drive® Component Set The Gear is Comprised of Just Three Basic Components Harmonic Drive® Component Set Copyright 2018 Harmonic Drive LLC - All Rights Reserved 6 Click Here to Launch a YouTube Video
  • 7. Your Design Requirements Physical Constraints • Dimensional • Weight • Inertia Environmental • Operating Temperature • Vacuum • Corrosion Resistance • IP Rating • Radiation Life Requirements • Duty Cycle • MTBF • Emergency Stops Performance Requirements • Torque / Speed • Accuracy • Repeatability • Dynamic Response • Velocity Ripple Copyright 2018 Harmonic Drive LLC - All Rights Reserved 7
  • 8. One Size Doesn’t Fit All • > 70% Of The Products We Produce Are “Specials” – Therefore, Specials Are Standard • Our Discussion Today is About Component Sets, but the Principles Are Common To All Product Lines – Mechanical Modifications – Performance Customization Copyright 2018 Harmonic Drive LLC - All Rights Reserved 8
  • 9. Mechanical Modifications Copyright 2018 Harmonic Drive LLC - All Rights Reserved 9
  • 10. Modification Difficulty Cost Tradeoff CS Hole Pattern Easy Minimal Fixtures needed if test data is required CS Outside Diameter Difficult Production Tooling Fixtures needed if test data is required CS Weight reduction Easy Moderate Excessive weight reduction will lower torsional stiffness CS Material Change (Stainless Steel) Easy Moderate None Circular Spline Modifications BCD ø BH ø • Torque transmission must be evaluated if smaller or fewer screws are used. Copyright 2018 Harmonic Drive LLC - All Rights Reserved 10
  • 11. Circular Spline Modifications OD ø Modification Difficulty Cost Tradeoff CS Hole Pattern Easy Minimal Fixtures needed if test data is required CS Outside Diameter Difficult Production Tooling Fixtures needed if test data is required CS Weight reduction Easy Moderate Excessive weight reduction will lower torsional stiffness CS Material Change (Stainless Steel) Easy Moderate None • Rabbet or OD can be used to pilot the CS. • The rabbet can be eliminated. Rabbet ø Copyright 2018 Harmonic Drive LLC - All Rights Reserved 11
  • 12. Circular Spline Modifications Modification Difficulty Cost Tradeoff CS Hole Pattern Easy Minimal Fixtures needed if test data is required CS Outside Diameter Difficult Production Tooling Fixtures needed if test data is required CS Weight reduction Easy Moderate Excessive weight reduction will lower torsional stiffness CS Material Change (Stainless Steel) Easy Moderate None • Typical Weight Reduction • T cross section • Pocketing of CS Copyright 2018 Harmonic Drive LLC - All Rights Reserved 12
  • 13. Circular Spline Modifications Modification Difficulty Cost Tradeoff CS Hole Pattern Easy Minimal Fixtures needed if test data is required CS Outside Diameter Difficult Production Tooling Fixtures needed if test data is required CS Weight reduction Easy Moderate Excessive weight reduction will lower torsional stiffness CS Material Change (Stainless Steel) Easy Moderate None • Typical Weight Reduction • T cross section • Pocketing of CS • Standard Material – Ductile Iron • Options • Low temp chrome plating • 17-4PH, 15-5PH Copyright 2018 Harmonic Drive LLC - All Rights Reserved 13
  • 14. Flexspline Modifications BCD ø BH ø Pilot ø Modification Difficulty Cost Tradeoff FS Hole Pattern Easy Minimal Fixtures needed if test data is required FS Pilot Diameter Easy Minimal Fixtures needed if test data is required FS Material Change (Stainless Steel) Moderate More Significant Possible reduction in life depending on load conditions • This is the weakest connection point • If modifying, verify torque transmitting capacity • Consider use of Dowel Pins Copyright 2018 Harmonic Drive LLC - All Rights Reserved 14
  • 15. Flexspline Modifications Modification Difficulty Cost Tradeoff FS Hole Pattern Easy Minimal Fixtures needed if test data is required FS Pilot Diameter Easy Minimal Fixtures needed if test data is required FS Material Change (Stainless Steel) Moderate More Significant Possible reduction torque specifications • Standard Material: 4340 • Options: 15-5PH, 17-4PH Copyright 2018 Harmonic Drive LLC - All Rights Reserved 15
  • 16. Wave Generator Modifications WG Bore ø Modification Difficulty Cost Tradeoff WG Bore change (w/ Oldham coupling) Easy Minimal Fixtures needed if test data is required WG Bore Change (Solid wave generator) Easy Production Tooling Fixtures needed if test data is required WG Material Change (Stainless Steel) Easy Moderate None WG Weight / Inertia Reduction Moderate Moderate Excessive weight reduction will lower torsional stiffness Stainless Steel Wave Generator Bearing Easy Significant Long lead time Reduced bearing life Bearing Separator Material Change (Brass, Phenolic…) Moderate Moderate to significant depending on quantity Lead time • Semi-standard sizes are readily available • Custom sizes available up to max diameter limit Copyright 2018 Harmonic Drive LLC - All Rights Reserved 16
  • 17. Wave Generator Modifications Modification Difficulty Cost Tradeoff WG Bore change (w/ Oldham coupling) Easy Minimal Fixtures needed if test data is required WG Bore Change (Solid wave generator) Easy Production Tooling Fixtures needed if test data is required WG Material Change (Stainless Steel) Easy Moderate None WG Weight / Inertia Reduction Moderate Moderate Excessive weight reduction will lower torsional stiffness Stainless Steel Wave Generator Bearing Easy Significant Long lead time Reduced bearing life Bearing Separator Material Change (Brass, Phenolic…) Moderate Moderate to significant depending on quantity Lead time • Standard Material: Steel • Options: 15-5PH, 17-4PH Copyright 2018 Harmonic Drive LLC - All Rights Reserved 17
  • 18. Wave Generator Modifications Modification Difficulty Cost Tradeoff WG Bore change (w/ Oldham coupling) Easy Minimal Fixtures needed if test data is required WG Bore Change (Solid wave generator) Easy Production Tooling Fixtures needed if test data is required WG Material Change (Stainless Steel) Easy Moderate None WG Weight (Inertia) Reduction Moderate Moderate Excessive weight reduction will lower torsional stiffness Stainless Steel Wave Generator Bearing Easy Significant Long lead time Reduced bearing life Bearing Separator Material Change (Brass, Phenolic…) Moderate Moderate to significant depending on quantity Lead time • Wave Generator weight reduction is highly effective in improving the dynamic response of the system. Precision in assembly is required if no Oldham Copyright 2018 Harmonic Drive LLC - All Rights Reserved 18
  • 19. Wave Generator Modifications Modification Difficulty Cost Tradeoff WG Bore change (w/ Oldham coupling) Easy Minimal Fixtures needed if test data is required WG Bore Change (Solid wave generator) Easy Production Tooling Fixtures needed if test data is required WG Material Change (Stainless Steel) Easy Moderate None WG Weight / Inertia Reduction Moderate Moderate Excessive weight reduction will lower torsional stiffness Stainless Steel Wave Generator Bearing Easy Significant Long lead time Reduced bearing life Bearing Separator Material Change (Brass, Phenolic…) Moderate Moderate to significant depending on quantity Lead time • Wave Generator weight reduction is highly effective in improving the dynamic response of the system. Precision in assembly is required if no Oldham • 440C Bearings are typically only used for space flight applications • Environmental conditions sometimes requires bearing separator material changes (temperature extremes, vacuum, radiation) Copyright 2018 Harmonic Drive LLC - All Rights Reserved 19
  • 20. Mechanical Modifications Copyright 2018 Harmonic Drive LLC - All Rights Reserved 20
  • 21. Performance Customization Accuracy Torsional Stiffness Starting Torque Back-driving Torque Copyright 2018 Harmonic Drive LLC - All Rights Reserved 21
  • 22. • Repeatability is defined as ± ½ the maximum difference in position when returning to the same point multiple times from the same direction. (Single Direction Repeatability) Accuracy vs Repeatability • Accuracy is defined as the difference between the commanded position and the actual position of the gear. • 𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒 = ∅𝑖𝑖 𝑖𝑖 𝑖𝑖𝑖𝑖𝑖𝑖 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 − ∅𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜𝑜 • We measure the accuracy of the gear throughout one full revolution of the output and define that as transmission error Copyright 2018 Harmonic Drive LLC - All Rights Reserved 22
  • 23. Positional Accuracy Modification Difficulty Cost Tradeoff High Accuracy Relatively easy Minimal None Increased Torsional Stiffness Relatively easy Minimal Increased starting torque Low Starting Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) Low Back-driving Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) • Typical Accuracy* <1 arc-min • Improved Accuracy < 30 arc-sec • High Accuracy specification is beneficial for: • Precise positioning applications • When low velocity ripple is required • Velocity Ripple ~ d/dt (Position Error) • When vibration is of critical concern • Vibration ~ d2/dt2 (Position Error) • Test data can be provided • Repeatability is typically ± 5 arc-sec 27.72 arc-sec 1 Wave Generator Revolution = 2 Cycles * Size 20 and larger Copyright 2018 Harmonic Drive LLC - All Rights Reserved 23
  • 24. Torsional Stiffness Modification Difficulty Cost Tradeoff High Accuracy Relatively easy Minimal None Increased Torsional Stiffness Relatively easy Minimal Increased starting torque Low Starting Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) Low Back-driving Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) • Torsional Stiffness of Harmonic Gearing is non-linear • Broken into three regions K1, K2, K3 • Catalog values are typical and not guaranteed minimums. • High stiffness specification is beneficial for • Precise positioning applications where load conditions may vary (minimize deflection) • Vibration reduction due to increase in resonant frequency of the system • Values are verified with test data providedK1 Stiffness is the region where the greatest increase is achieved Copyright 2018 Harmonic Drive LLC - All Rights Reserved 24
  • 25. Starting & Back-driving Torque Modification Difficulty Cost Tradeoff High Accuracy Relatively easy Minimal None Increased Torsional Stiffness Relatively easy Minimal Increased starting torque Low Starting Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) Low Back-driving Torque Relatively easy Minimal Lower torsional stiffness (depending on requirement) • Low starting torque beneficial to minimize dead band when in current mode • Low Back-driving torque is beneficial when the robot arm need to be manually positioned by a user – such as for a cobot or surgical robot • The size of gear, reduction ratio as well as the type and amount of lubricant will also have a large influence • Both of these characteristics are inter- dependent with torsional stiffness • Typically with careful selection of the gear type, size & gear tooth profile, all requirements can be met • In applications where back-driving is not permissible, a brake or other failsafe device must be used. In no circumstance should the gear set’s published Back Driving Torque value be relied upon to prevent movement of the assembly Copyright 2018 Harmonic Drive LLC - All Rights Reserved 25
  • 26. Custom Actuators & Gear Units • Custom actuators and gear units are also available • Minor modifications to completely custom designs Copyright 2018 Harmonic Drive LLC - All Rights Reserved 26
  • 27. In Closing • Conceptual and Preliminary design reviews are invaluable to identify opportunities for improvements to assure a successful implementation. • We are always available to provide design & engineering support –free of charge. • Our Goal is Your Success Copyright 2018 Harmonic Drive LLC - All Rights Reserved 27
  • 28. Learn More About the Inventor! https://www.youtube.com/watch?v=1sQK1dmzT04&feature=youtu.be http://www.waltmusser.org Copyright 2018 Harmonic Drive LLC - All Rights Reserved 28
  • 29. Doug Olson Harmonic Drive LLC DOlson@HarmonicDrive.net Questions? Chris Simo Electromate (Toronto) Chris@Electromate.com (905) 850-7447 Rich Kawko Harmonic Drive LLC Rkawko@HarmonicDrive.net (978) 573-3482 Stamati Georgaris Electromate (Montreal) Stamati@Electromate.com (905) 850-7447 Copyright 2018 Harmonic Drive LLC - All Rights Reserved 29