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![Catalog Values
The performance data of rack and pinion drives is listed in the STÖBER catalog called Rack
and Pinion Drives.
The data in the catalog is prepared to be very user-friendly.
All values are converted on the linear axis.
M2B Fv2B max. permissable acceleration feed force
M2N Fv2N rated feed force
M2NOT Fv2NOT emergency-off feed force
∆φ2 ∆s linear backlash without meshing of the teeth at the rack and pinion
C2 CLges total linear spring rigidity including the assembled pinion
Kv Speed constant – speed [m/s] of the linear axis per 1000 RPM of the motor
KM1 Torque constant – needed torque at the input per 1000 N feed force
without dynamic effects – mass inertia
For general information as well as for calculation with ServoSoft, some additional gear data is
indicated.
m module
Z number of teeth
dw pitch circle diameter](https://image.slidesharecdn.com/2012rackandpinion1-120726140706-phpapp01/75/2012-rack-and-pinion-1-33-2048.jpg)
Uploaded byLuke jackson
2012 rack and pinion (1)
The document provides information on various rack and pinion drive systems from Stober including the ZTRS, ZTR, and ZR series. It discusses the key features and benefits of each series such as reduced linear backlash, increased linear stiffness, torque reduction, and the ability to change removable pinions. Technical specifications are provided for various rack and pinion components including pinion sizes, feed forces, speeds, and precision levels available for racks.
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2012 rack and pinion (1)
- 1. Geared to ahigher standard™
- 2. Rack & PinionDrives • ZTRS – Small pinion with bearing support • ZTR – Small pinion without additional bearing support • ZR – Traditional style flange mounted pinion • Rack • Lubrication • Mounting
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- 5. ZTRS Rack &Pinion Drives 4 Case Sizes Available: PH(A)7 – PH(A)(Q)10 Pinion System: Helical & Straight Tooth Module 2 – 10 Quality 5 (DIN, AGMA 12) Feed Force: Up to 124kN / 27,875lbs helical tooth Up to 121kN / 27,200lbs straight tooth Feed Speed: Up to 4.7 m/s Linear Backlash: Standard ZTRS-PH ≤ 21 – 72 µm Reduced ZTRS-PHA ≤ 7 – 24 µm
- 6. ZTRS – PHRack & Pinion Drives High Force Helical / Straight Tooth System Integrated lubrication by felt Know-how and competence pinion (optional) ready to from two drive specialists connect to the central lubrication or to a grease cup Gear unit and gear rack Optimal adaption to the mass perfectly matched to each moment of inertia by varying the other, optimal utilization of the gear ratios / number of pinion gear unit due to support teeth bearing cover. Also available as right-angle Torque reduction more gear unit PHK / PHKX than 50% Directly attached STÖBER Linear backlash reduction servo motors possible more than 50% Concentricity of the pinion Linear stiffness can be ≈ 25µm (optional ≤ 10µm) increased up to ten times Information for selection, assembling Removable pinion Smaller gear unit ratio and lubrication of rack and pinion If necessary, the pinion can be 1 stage instead of 2 stages drives changed.
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- 8. ZTR Rack &Pinion Drives 6 Case Sizes Available: PH(A)4 – PH(A)10 Pinion System: Helical & Straight Tooth Module 2 – 8 Quality 5 (DIN, AGMA 12) Feed Force: Up to 57kN / 12,800lbs helical tooth Up to 45.5kN / 10,225lbs straight tooth Feed Speed: Up to 4.7 m/s Linear Backlash: Standard ZTR-PH ≤ 12 – 50 µm Reduced ZTR-PHA ≤ 4 – 17 µm
- 9. ZTR– PH Rack& Pinion Drives Helical / Straight Tooth System Know-how and competence from Optimal adaption to the mass two drive specialists moment of inertia by varying the gear ratios / number of pinion Gear unit and gear rack perfectly teeth matched to each other Also available as right-angle Torque reduction more gear unit PHK / PHKX than 50% Directly attached STÖBER Linear backlash reduction servo motors possible more than 50% Linear stiffness can be Concentricity of the pinion increased by up to five times ≈ 25µm (optional ≤ 10µm) Smaller gear unit ratio 1 stage instead of 2 stages Removable pinion If it´s necessary, a new pinion is Information for selection, assembling attachable and lubrication of rack and pinion drives
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- 11. ZR Rack &Pinion Drives 6 Case Sizes Available: PH(A)4 – PH(A)7 Pinion System: Helical Only Module 2 – 4 Quality 5 (DIN, AGMA 12) Feed Force: Up to 12.3kN / 2765lbs helical tooth Feed Speed: Up to 6.8 m/s Linear Backlash: Standard ZR-PH ≤ 31 – 57 µm Reduced ZR-PHA ≤ 10 – 19 µm
- 12. ZR– PH Rack& Pinion Drives Helical Tooth System Know-how and Optimal adaption to the mass competence from two drive moment of inertia by varying the specialists gear ratios / number of pinion teeth Gear unit and gear rack perfectly matched to each other Also available as right-angle gear unit PHK / PHKX To bridge large distances between gear unit and rack Directly attached STÖBER servo motors possible Small distance between Concentricity of the pinion point of force and bearings ≈ 25µm of the gearbox. optional ≤ 10µm high bearing service life low deflection Cost-efficient alternative Suitable for high-speed Removable pinion applications, because of the large If necessary, a new pinion is pinion diameter attachable Information for selection, assembling and lubrication of rack and pinion drives
- 13. Rack & PinionDrawings on the Web
- 14. Gear Rack Sizes Available: Module 2-10 Lengths Available: 0.5, 1.0, 2.0 meters Quality: AGMA 8 – 12 DIN 4 -10 Helical & Straight Precision Levels: Basic = Soft Precision = Quenched & Tempered High-Precision = Induction-Hardened Ultra-Precision = Hardened & Ground
- 15. Gear Rack Precision Rack Quality Minimum Rack Pitch Deviation GTf Typical Level Backlash * (Positioning Accuracy) Applications (Lowest to Highest) (Repeatability) Light Loads & Soft ~0.06 mm < 0.150 mm per meter Medium Accuracy (DIN 9, ~AGMA 9) (0.0024”) (0.0018”/ft) (Plasma, low loads) Medium Loads & Quenched & Tempered ~0.04 mm < 0.100 mm per meter Medium Accuracy (DIN 8, ~AGMA 10) (0.0016”) (0.0012”/ft) (plasma) Hardened & Ground ~0.03 mm < 0.060 mm per meter Heavy to Medium (DIN 7/8, ~AGMA 10/11) (0.0012”) (0.0008”/ft) Material handeling, woord working, linear axis) Hardened & Ground < 0.048 mm per meter (DIN 6, ~AGMA 12) Heavy Loads & High Accuracy (0.0006”/ft) (Machine Tool, Multiple Pinion Hardened & Ground Contact, lifting axis, water jet) ~0.02 mm < 0.030 mm per meter (DIN 5) 29 series (0.0008”) (0.0004”/ft) Hardened & Precision < 0.012 mm per meter Heavy Loads & Ground (DIN 4) Very High Accuracy 48 series (0.0001”/ft) (High precision machine tool)
- 16. Rack Part Number 28.20.100 Series Number Module & Holes Length 25 – Soft First Digit – Module 1.0 to 10.0 025 – ¼ meter 27, 34 – Induction-Hardened Second Digit - Mounting Holes 050 – ½ meter 28 – Hardened & Ground 100/105 – 1.0 meter 29 – Helical Hardened & Ground 150/155 – 1.5 meter 33 – Quenched & Tempered 200/205 – 2.0 meter 35, 37 – Round Rack 36 – Stainless Steel Rack 38 – Helical Quenched & Tempered 39 – Helical Induction-Hardened 46 – Hardened & Ground DIN 4 47 – Helical Soft 48 – Helical Hardened & Ground DIN 4 49 – Integrated Rack
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- 18. Geared to ahigher standard™
- 19. Advantages of Removeable Pinions • The bolt connection of the pinion to the output shaft of the gearbox allows for changing the pinion. • Reasons for a pinion change: – Strong contamination leading to increased wear – Strong wear as a result of lubrication failure or lack of manual lubrication – Crash – Other defects or failures
- 20. Disadvantages of Welded Pinions • Change of pinion is impossible • Risks of welding: – Crack formation – Thermal deformations – Notching effect leading to the risk of break down – Welding spots in the gear teeth
- 21. Reduction of Torque– ZTRS / ZTR
- 22. Reduced Linear Backlash> 50%Higher Precision – ZTRS / ZTR
- 23. Increase of LinearStiffness > 10X
- 24. Increase of LinearStiffness – ZTRS Gearbox Gearbox C=250Nm/arcmin C=250Nm/arcmin d=100mm d=50mm F=10.000N F=10.000N • Torque T=Fxr 500Nm 250Nm • Tors. Defl. φ=M/C 2arcmin 1arcmin • Lin. Defl. s = d/2 x tan φ 29,1µm 7,3µm • Lin. Stiffn. CL = F / s 344N/µm 1370N/µm • Increase 400%
- 25. Increase of LinearStiffness – ZTRS ZR ZTRS Fv FB Fv fZTRS fZR FS FA FB Gearbox C=250Nm/arcmin Gearbox C=250Nm/arcmin FA At the same feed force the bending in the d=100mm tooth engagement is approximately half! d=50mm F=10.000N F=10.000N
- 26. Upgraded Load Capacity By using the support bearing the bending is halved! Width crowning optimized for the bending Significantly improved contact pattern Reduced contact pressure at the tooth flank Increased safety, respectively higher lifetime, especially with dirty or insuffient lubrication
- 27. Summary Gearbox Gearbox C = const. C = const. • Pinion diameter factor 1 1.6 – 2.3 • Linear Stiffness factor – only dia. effect 1 2.6 – 5.3 • Linear Stiffness factor – only bend. effect 1 2 • Total Linear Stiffness Factor 1 5.2 – 10.6
- 28. Ratio Reduction –ZTRS / ZTR
- 29. Bearing Load –ZR vs ZTRS ZR ZTRS Fv FB Fv FS FA FB The load at the A- FA By using the same feed force, bearing is limiting the feed force the bearings are loaded only 25%!
- 30. Bearing Load –ZR vs ZTRS ZR ZTRS Fv FB Fv FS The feed force can be increased FA FB FA until the maximum torque of the gearbox or rack and pinion is reached!
- 31. Felt Pinion toLubricate – ZTRS Felt pinion Location of lubrication port.
- 32. Lubrication LUBRICATION IS CRITICALTO MAINTAIN QUALITY AND LIFE – Felt Lubrication Gear: Available with RH for helical pinions LH for helical racks Also straight for straight tooth rack & pinions – Lubricator: 125CC dispensers 475cc
- 33. Catalog Values The performancedata of rack and pinion drives is listed in the STÖBER catalog called Rack and Pinion Drives. The data in the catalog is prepared to be very user-friendly. All values are converted on the linear axis. M2B Fv2B max. permissable acceleration feed force M2N Fv2N rated feed force M2NOT Fv2NOT emergency-off feed force ∆φ2 ∆s linear backlash without meshing of the teeth at the rack and pinion C2 CLges total linear spring rigidity including the assembled pinion Kv Speed constant – speed [m/s] of the linear axis per 1000 RPM of the motor KM1 Torque constant – needed torque at the input per 1000 N feed force without dynamic effects – mass inertia For general information as well as for calculation with ServoSoft, some additional gear data is indicated. m module Z number of teeth dw pitch circle diameter
- 34. Catalog Values The calculatedspecified performance data takes into account all concerned load-bearing components. Rated feed force – Fv2N – depends on the lowest value of the gearbox rated torque and/or the force in case of a bearing lifetime Lh=20.000h at n1=500 1/min. Max. permissable acceleration feed force – Fv2B – depends on the lowest value of the max. permissable acceleration torque of the gearbox (M2B) and/or the static load carrying capacity of the bearings in connection with a 3 safety factor (2 with ball bearings), 1.25 flange bolting safety factor, and torque of the rack and pinion teeth. Emergency-off feed force – Fv2NOT – depends on the lowest value of the emergency-off torque of the gearbox (M2NOT) and the flange bolting and 2 safety factor of the rack and pinion teeth.
- 35. ZTRS / ZTR/ ZR Input Options MT/ MT MT/ME/MF
- 36. Example DMS Stober Alpha PH521F0100MT SP140-MF2-28 40mm Mod 2 helical pinion 75mm Mod 3 helical pinion 10:1 ratio (single stage) 28:1 ratio (single stage) 3 arcmin (55Nm/arcmin) 5 arcmin (53Nm/arcmin) 0.5m/s velosity ////1.0m/s2 acc/dec 0.5m/s velosity ////1.0m/s2 acc/dec 5500 lb load 5500 lb load DETAILS 0.017mm linear backlash (317% >) 0.054mm linear backlash 1.3 arcmin of torsional deflection (196%>) 2.54 arcmin of torsional deflection 7.5µm of linear deflection (369%>) 27.7µm of linear deflection 477.3N/µm of linear stiffness (367%>) 129.9N/µm of linear stiffness $4024.00 GB & Pinion $490.00/meter $4356.00 GB & Pinion ($590.00/meter)