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Wat is het verschil tussen versnellingsbak en reductiemotor??

Wat is het verschil tussen versnellingsbak en reductiemotor??

What’s the Difference Between a Gearbox and a Gear Motor?

Snel antwoord

A versnellingsbak is a standalone mechanical transmission device that reduces speed and multiplies torque from an external motor, terwijl een reductiemotor integrates an electric motor and gearbox into a single factory-matched unit. The core difference is integration: a gearbox requires separate motor selection, shaft alignment, and coupling installation, whereas a gear motor arrives pre-assembled, getest, and optimized for compact, reliable operation. According to the IEA Electric Motor Systems Platform, motor-driven systems account for 53% van het mondiale elektriciteitsverbruik, making the choice between these two configurations critical for energy efficiency, onderhoudskosten, en de totale eigendomskosten.

Wat is het verschil tussen versnellingsbak en reductiemotor??

What Is a Gearbox?

A gearbox—also called a tandwielreductor of speed reducer—is a mechanical device consisting of gear sets housed within an enclosure. It does niet generate power; instead, it modifies the speed, koppel, and direction of rotational motion transmitted from an external power source (elektrische motor, motor, or turbine) to a driven load. De IEC 60034-1 standard classifies gearboxes as mechanical transmission components, terwijl GEEN MG 1 provides dimensional and performance guidelines for motors paired with gearboxes in the North American market.

Core Functions of a Gearbox

  • Speed reduction: Lowers the input rotational speed to match load requirements
  • Torque multiplication: Increases output torque proportional to the gear ratio and efficiency
  • Direction change: Redirects rotational axis (bijv., bevel gears for 90° turns)
  • Load matching: Matches motor output characteristics to the driven equipment’s demand curve
  • Inertie-matching: Reduces reflected load inertia to improve motor control stability

Gearbox Types by Transmission Architecture

TypeGear ConfigurationTypische efficiëntieMax Ratio (Single Stage)Het beste voor
Spur GearboxParallel shafts, straight teeth95–98%~10:1Lage snelheid, low-noise applications
Spiraalvormige versnellingsbakParallel shafts, angled teeth96–98%~15:1High-load, quiet industrial drives
Schuine versnellingsbakIntersecting shafts (90°)94–97%~6:1Direction change, transportsystemen
Worm versnellingsbakWorm wheel + schroef60–90%~60:1High reduction, self-locking needs
Planetaire versnellingsbakSun + planet + ring gears95–97%~10:1Hoge koppeldichtheid, robotica

Efficiency data sourced from Siemens SIMOGEAR technical specifications and IEEE research on planetary gear optimization (DOI: 10.1109/TMECH.2019.2946403).

wat is het verschil tussen versnellingsbak en reductiemotor
Wat is het verschil tussen versnellingsbak en reductiemotor??

Wat is een reductiemotor?

A gear motor (of gearmotor) is an integrated drive unit that combines an electric motor and a gearbox into a single, factory-matched assembly. The motor’s rotor shaft typically serves as the input pinion for the first gear stage, eliminating the need for external couplings, alignment procedures, and separate mounting hardware. Gear motors are classified under IEC 60034-1 as complete motor systems and must comply with efficiency requirements defined in IEC 60034-30-1 en de DOE 10 CFR-onderdeel 431 verordening.

Types of Gear Motors

MotortypeGearbox OptionsTypical Power RangeEfficiëntieklasseCommon Applications
AC-inductiereductiemotorSpiraalvormig, schuine kant, worm0.09–55 kWIE2–IE4Transportbanden, mixers, pompen
Brushed DC Gear MotorAansporing, planetair1–1500 W70–85%Automotive seats, ruitenwissers
BLDC-reductiemotorPlanetair, spiraalvormig20–750 W85–92%Robotica, AGV's, medisch
Servo Gear MotorPlanetair, schuine kant0.1–30 kWIE4–IE5CNC, verpakking, precisie

Benefits of Integrated Gear Motors

  • Factory-matched optimization: Motor and gearbox are engineered together, ensuring the pinion, overbrengingsverhouding, and thermal characteristics are perfectly aligned—eliminating the guesswork of separate sizing.
  • Compacte voetafdruk: By using the motor shaft as the input pinion, the overall length is significantly reduced compared to a separate motor + versnellingsbak + coupling configuration.
  • Reduced alignment failures: No external coupling means no misalignment-induced bearing failures, which account for approximately 30% of premature gearbox failures per SKF bearing life analysis.
  • Simplified maintenance: Fewer mechanical interfaces mean fewer wear points and simplified lubrication management.
  • Higher system efficiency: Eliminating coupling losses (typically 1–3% per coupling) and optimizing the motor-gear interface improves overall system efficiency by 2–5%.
Wat is het verschil tussen versnellingsbak en reductiemotor??
Wat is het verschil tussen versnellingsbak en reductiemotor??

How a Gearbox Works — Step-by-Step

  1. Power input: An external motor delivers rotational energy to the gearbox input shaft via a coupling or direct connection.
  2. First gear mesh: The input shaft drives the first gear stage (rondsel), which meshes with a larger gear to achieve initial speed reduction and torque increase.
  3. Subsequent stages: For multi-stage gearboxes, the output of each stage becomes the input of the next, progressively reducing speed and multiplying torque.
  4. Bearing support: Bearings at each shaft position maintain gear alignment and support radial/axial loads. Per SKF bearing rating life, L10 life is calculated as L10 = (C/P)^p, where C is the dynamic load rating, P is the equivalent load, and p = 3 for ball bearings or 10/3 voor rollagers.
  5. Lubrication: Oil bath or grease lubrication reduces friction between meshing gears and dissipates heat. De IEC 60034-1 standard specifies operating temperature limits based on insulation class.
  6. Power output: The final stage delivers reduced speed and multiplied torque to the driven load via the output shaft.

How a Gear Motor Works — Step-by-Step

  1. Electrical input: Power is supplied to the motor winding (AC, gelijkstroom, or BLDC), generating a magnetic field that interacts with the rotor.
  2. Rotor rotation: The electromagnetic field produces torque on the rotor, which rotates at a speed determined by supply frequency (AC) or voltage (gelijkstroom).
  3. Integrated pinion drive: The rotor shaft extends directly into the gearbox housing, where the machined pinion gear engages the first reduction stage—no coupling required.
  4. Multi-stage reduction: Gear stages progressively reduce speed and multiply torque. Bijvoorbeeld, A maxon GPX 32 planetary gearhead achieves a 138:1 ratio across 3 stages with 75% efficiency and 5 N·m continuous torque.
  5. Thermal management: The motor and gearbox share a common housing, allowing heat from both components to dissipate through the same structure. Per IEC 60034-1, Class F insulation permits winding temperatures up to 155°C.
  6. Output delivery: The output shaft delivers the final torque and speed to the application, with the entire unit pre-tested and certified as a single assembly.

Gearbox vs. Tandwielmotor: Functievergelijkingstabel

FunctieVersnellingsbak (Standalone)Tandwielmotor (Geïntegreerd)
StroombronExternal motor requiredMotor included in unit
Integration LevelMechanical component onlyMotor + gearbox combined
Installation ComplexityHigh—requires shaft alignment, koppelen, montageLow—plug-and-play, pre-assembled
FootprintLarger overall assemblyCompact, space-saving
Motor Selection FlexibilityHigh—any compatible motor can be pairedLimited to factory-installed motor
Coupling Losses1–3% per coupling interfaceNone—direct pinion integration
System EfficiencyLager (verkeerde uitlijning + coupling losses)Hoger (2–5% improvement typical)
Misalignment RiskHigh—common failure modeMinimal—factory-aligned
OnderhoudMotor and gearbox serviced separatelyFewer interfaces, simplified schedule
Failure ReplacementIndividual component replacementEntire unit may need replacement
Initiële kostenLager (versnellingsbak + separate motor)Hoger (integrated unit)
Long-term TCOHoger (installatie + onderhoud + downtime)Often lower (reduced labor + downtime)
Best Power Range>1 PK (large industrial)<1 HP to ~50 kW (compact/mid)
Standard ComplianceISO 6336 (gear rating), AGMA 925IEC 60034-30-1, GEEN MG 1, DOE 10 CFR 431

Technische gegevens: Efficiëntie, Temperatuurlimieten, and Torque Formulas

IEC 60034-30-1 Efficiency Classes for Gear Motor Motors

IEC-klasseNEMA-equivalentBeschrijvingLoss Reduction vs. IE1Typische toepassing
IE1Standaard efficiëntieBasislijn (phased out in most markets)Legacy equipment
IE2Hoge efficiëntieMandatory minimum in some regions~10% less lossAlgemeen industrieel
IE3Eersteklas efficiëntieCurrent US minimum (DOE 10 CFR 431)~20% less lossNew installations (post-2026)
IE4Super premiumRequired June 2027 for mid-range motors~30% less lossEnergy-critical, VFD applications
IE5Ultra-premium (nog niet NEMA-gedefinieerd)Future standard under development~40% less lossCutting-edge efficiency

Bron: IEC 60034-30-1:2014 En DOE Small Electric Motors Program. Opmerking: DOE 2026 final rule mandates IE3 minimum for all 1–500 HP three-phase motors effective December 1, 2026; IE4 required for mid-range motors from June 1, 2027.

IEC 60034-1 Temperatuurlimieten isolatieklasse

IsolatieklasseMax Temperature RiseHot Spot AllowanceMax. wikkeltemperatuurTypical Gear Motor Example
Klasse A60° C5° C105° CLage kosten, light-duty
Klasse E75° C5° C120° CStandard consumer
Klasse B80° C10° C130° CIndustrial standard
Klasse F100° C15° C155° Cmaxon GPX 32 (operating range −40 to +100°C)
Klasse H125° C15° C180° CHoge temperatuur, zwaar uitgevoerd

Bron: IEC 60034-1 Roterende elektrische machines - Beoordeling en prestaties. Ambient temperature: 40° C, hoogte: ≤1000 m.

Core Engineering Formulas

1. Overbrengingsverhouding

i = N_motor / N_output = T_output / (T_motor × η_gear)

Waar: ik = overbrengingsverhouding, N = speed (toerental), T = torque (N·m), η_gear = gearbox mechanical efficiency.

2. Uitgangskoppel

T_output = T_motor × i × η_gear

Voorbeeld: A 0.5 N·m motor with a 50:1 planetaire versnellingsbak op 95% efficiency produces T_output = 0.5 × 50 × 0.95 = 23.75 N·m.

3. Gearbox Mechanical Efficiency

η_gear = (T_output × N_output) / (T_input × N_input)

Per Siemens SIMOGEAR data: 2-stage helical gearboxes achieve ≥96%; 3-stage achieve ≥94%; worm gearboxes range 60–90% depending on ratio.

4. System Efficiency (Motor + Versnellingsbak)

η_system = η_motor × η_gear × (1 – L_coupling)

For a gear motor (no coupling): η_system = η_motor × η_gear. For a separate gearbox + motor + koppelen: η_system = η_motor × η_gear × 0.98 (ervan uitgaand 2% koppeling verlies).

5. SKF Bearing L10 Life

L10u = (10⁶ / 60N) × (C / P)^p

Waar: L10h = rated life in hours (90% betrouwbaarheid), C = basic dynamic load rating (kN), P = equivalent dynamic bearing load (kN), n = rotatiesnelheid (toerental), p= 3 voor kogellagers, 10/3 voor rollagers. Bron: SKF Bearing Rating Life.

6. GEEN MG 1 Service Factor

SF = P_allowable / P_rated

GEEN MG 1 definieert een servicefactor (typisch 1.15 for general-purpose motors) that allows intermittent overload operation. IEC motors do not use service factors (equivalent SF = 1.0), so a larger frame size may be needed for the same application.

Manufacturer Datasheet Comparison: Standalone Gearbox vs. Integrated Gear Motor

Parametermaxon GPX 32 (Standalone Gearbox)Siemens SIMOGEAR (Integrated Gear Motor)
Overbrengingsverhouding138:1 (3-stage planetary)3.57–500 (1–3 stage, multiple types)
Max Continuous Torque5 N·mTot 19,500 N·m
Mechanical Efficiency75%≥96% (2-fase), ≥94% (3-fase)
Verzet0.9° (gemiddeld)Laag (helical gear design)
Input SpeedTot 8,000 toerentalMotor-dependent (1,400–3,600 rpm typical)
Temperatuurbereik−40 to +100°C−20 to +60°C (ambient)
StroombronExternal motor requiredIE2/IE3/IE4 motor integrated
BeschermingsklasseNot rated (open)IP55

Sources: maxon GPX 32 datasheet; Siemens SIMOGEAR servo geared motors.

Best Applications for Gearboxes

SollicitatieWhy a Standalone Gearbox?Typical Power Range
Wind Turbine DrivetrainsCustom gearbox design for extreme torque (MW-class); motor selection flexibility for different generator types100 kW – 10 MW
Mijnbouw & Heavy Material HandlingCustom-built gearboxes for shock loads; ability to pair with oversized motors for extreme duty50–500 kW
Large Industrial MixersFlexible motor-gearbox pairing for varying batch sizes; easier motor replacement without gearbox removal15–200 kW
Mariene voortstuwingCustom gear ratios for propeller matching; separate motor allows maintenance without gearbox disassembly100–10,000 kW
Retrofit & Upgrade ProjectsKeep existing motor, replace only gearbox—or vice versa—reducing capital expenditureAny

Best Applications for Gear Motors

SollicitatieWhy an Integrated Gear Motor?Typical Power Range
TransportsystemenCompact, pre-aligned unit reduces installation time on production lines; IP55 rated for dust environments0.09–7.5 kW
Robotica & AGV'sHoge koppeldichtheid, precise backlash control, integrated encoder options; BLDC planetary gear motors deliver 80–200 N·m in compact footprints20–750 W
VerpakkingsmachinesStille werking, high cycle durability, easy replacement during maintenance windows0.18–5.5 kW
Food & Beverage ProcessingStainless steel or coated housings, IP65 washdown ratings, food-grade lubrication options0.12–15 kW
Automotive Seat Actuators12V DC gear motors provide 4–19 N·m torque in a palm-sized package; learn more in our power seat guide5–50 W

Step-by-Step Selection Guide: Gearbox vs. Tandwielmotor

  1. Define your load requirements: Determine the required output torque (N·m), output snelheid (toerental), inschakelduur (S1–S8 per IEC 60034-1), and peak/overload conditions.
  2. Calculate the gear ratio: i = N_motor / N_output. Select a motor with a nominal speed close to standard supply frequencies (1,400 rpm at 50 Hz 4-pole; 1,800 rpm at 60 Hz 4-pole). Refer to our 6-pole motor RPM guide for pole-speed relationships.
  3. Verify torque capacity: T_output = T_motor × i × η_gear. Apply a safety factor of 1.3–1.5 for variable loads, or use NEMA MG 1 servicefactor (1.15) for NEMA-rated motors.
  4. Evaluate power range:
    • Voor ≤50 kW with standard ratios: A reductiemotor is typically more cost-effective and reliable.
    • Voor >50 kW or custom ratios: a standalone gearbox + motor offers better flexibility and serviceability.
  5. Assess environmental conditions: Check ambient temperature (IEC 60034-1: −20 to +60°C standard), vochtigheid, stof, and washdown requirements. Gear motors offer IP55–IP65 integrated protection; standalone gearboxes may require additional sealing.
  6. Calculate total cost of ownership (Totale eigendomskosten):TCO = Purchase cost + Installation cost + Energiekosten + Maintenance cost + Downtime costPer DOE analysis, energy costs represent 90–95% of TCO over a 20-year motor life. Each efficiency class improvement (bijv., IE3 → IE4) reduces losses by approximately 10–15%.
  7. Valideer de levensduur van lagers: Using the SKF L10 formula, verify that the selected bearings will achieve the required service life (typically 20,000–40,000 hours for industrial gear motors). If L10h < target, upgrade bearing size or type.
  8. Check compliance: Verify that the motor meets IEC 60034-30-1 efficiency requirements for your region and DOE 10 CFR-onderdeel 431 for the US market. For North America, ensure NEMA MG 1 frame size compatibility.

Veel voorkomende technische fouten

#FoutGevolgCorrecte aanpak
1Using a separate gearbox + motor without proper shaft alignmentVoortijdige lagerstoring, trillingen, coupling wear (accounts for ~30% of failures per SKF)Use laser alignment tools; consider a gear motor to eliminate coupling entirely
2Oversizing the motorfor safetywithout recalculating gear ratioMotor operates below optimal efficiency point; energy waste of 5–15%Size motor to actual load + reasonable service factor (1.15 ER IS GEEN / 1.0–1.3 IEC)
3Selecting a worm gearbox for continuous high-duty applicationsLow efficiency (60–90%) generates excessive heat; energy waste of 10–35%Use helical or planetary gearboxes for continuous duty; reserve worm gears for intermittent or self-locking applications
4Ignoring thermal limits when integrating motor and gearboxCombined heat exceeds IEC 60034-1 insulation class; winding failureVerify thermal model: T_winding = T_ambient + ΔT_motor + ΔT_gear × coupling factor
5Replacing only the motor on a gear motor unit with a non-matched motorPinion mismatch, incorrect gear mesh, accelerated gear wearReplace the entire gear motor assembly or contact the manufacturer for a compatible replacement motor
6Not accounting for efficiency losses in TCO calculationsUnderestimating operating costs by 10–20% over the product lifecycleUse system efficiency: η_system = η_motor × η_gear × (1 – L_coupling); reference IEEE research on gear efficiency optimization

Tabel voor probleemoplossing: Probleem → Oorzaak → Oplossing

ProbleemWaarschijnlijke oorzaakOplossing
Excessive vibration and noiseMisalignment between motor and gearbox (standalone); gear tooth wear; bearing damageRealign shaft with laser tool; inspect gear teeth for pitting; lagers vervangen (verify SKF L10 life)
Gearbox overheating (>90°C oil temp)Insufficient lubrication; overloaded gear stage; geblokkeerde ventilatieCheck oil level and viscosity; verify load against rated torque; clean cooling fins or add forced cooling
Oil leakage at input/output shaftsWorn shaft seals; over-pressurization from high-speed operation; incorrect seal installationReplace lip seals and O-rings; verify breather valve function; reduce input speed if above rated maximum
Output shaft not rotatingBroken gear tooth; seized bearing; motorstoring (reductiemotor); sheared coupling (standalone)Disassemble and inspect gear train; replace damaged components; verify motor continuity and winding resistance
Reduced output torqueWorn gear teeth increasing backlash; motor degradation (borstel slijtage, insulation breakdown)Meet de speling (compare to manufacturer spec, bijv., maxon GPX 32: 0.9°); test motor torque constant Kt
Intermittent operation / stallingInsufficient motor power for peak load; thermal protection tripping; voltage dropVerify motor power vs. peak torque requirement; check thermal overload settings; measure supply voltage under load
Audible gear whine at specific speedsGear resonance; incorrect backlash; insufficient lubrication filmOperate outside resonance frequency band; adjust backlash to specification; use higher-viscosity lubricant
Bearing failure (recurring)Inadequate bearing load rating for application; besmetting; over-greasingRecalculate L10 life with actual load spectrum; upgrade to sealed bearings; follow relubrication intervals per SKF guidelines

Veelgestelde vragen

Is a gearbox the same as a gear motor?

Nee. A gearbox is a standalone mechanical transmission device that requires an external motor for power input. A gear motor integrates both the electric motor and gearbox into a single factory-matched unit. The key difference is integration: a gearbox is one component, while a gear motor is a complete drive system. For a deeper comparison of gearbox types, see our guide on gear motor manufacturers and suppliers in China.

When should I choose a gearbox over a gear motor?

Choose a standalone gearbox when you need motor selection flexibility (bijv., pairing with a specific servo motor), for high-power applications above 50 kW, for custom gear ratios not available in integrated units, or for retrofit projects where you want to keep an existing motor. For applications below 50 kW requiring compact, betrouwbaar, and easy-to-install drives, A reductiemotor is typically the better choice.

What efficiency standards apply to gear motors?

The motor portion of a gear motor must comply with IEC 60034-30-1 efficiency classes (IE1–IE5) of GEEN MG 1 efficiëntieniveaus. In de VS, DOE 10 CFR-onderdeel 431 mandates IE3 minimum for 1–500 HP three-phase motors as of December 2026, with IE4 required for mid-range motors from June 2027. The gearbox portion follows ISO 6336 for gear rating and AGMA 925 for surface durability.

How do I calculate the output torque of a gear motor?

Gebruik de formule: T_output = T_motor × i × η_gear, where T_motor is the motor’s rated torque, i is the gear ratio, and η_gear is the gearbox mechanical efficiency. Bijvoorbeeld, A 0.5 N·m motor with a 50:1 planetaire versnellingsbak op 95% efficiëntie produceert 23.75 N·m output torque. Always apply a safety factor of 1.3–1.5 for variable loads. For DC motor torque calculations, zie onze DC motor weight capacity guide.

Can I replace the motor on a gear motor without replacing the gearbox?

Generally no. In most gear motors, the motor shaft is machined as the input pinion for the first gear stage, making the motor and gearbox an inseparable matched pair. Replacing the motor with a non-matched unit will cause gear mesh problems and accelerated wear. Contact the manufacturer for a compatible replacement motor, or replace the entire gear motor assembly.

What is the typical lifespan of a gear motor vs. a standalone gearbox?

Both can achieve 20,000–40,000 hours of operation under proper loading and maintenance. Gear motors often have longer actual service life because the factory-aligned design eliminates coupling-related failures (which account for ~30% of premature failures in standalone configurations per SKF bearing analysis). Echter, if either component fails in a gear motor, the entire unit typically needs replacement, whereas standalone gearboxes allow individual component replacement. For brushless motor lifespan factors, see our article on BLDC motor disadvantages.

Waarom kiezen voor Greensky Power?

Understanding the difference between a gearbox and a gear motor is only the first step—selecting the right manufacturing partner is equally critical. Greensky Power has been designing and manufacturing DC motors, versnellingsbakken, and integrated gear motor solutions since 2011, OEM-klanten bedienen in meer dan 50 landen.

What Sets Us Apart

  • Verticale integratie: We manufacture both the motor and gearbox in-house—brushed DC motors, BLDC-motoren, En precision gearboxes—ensuring factory-matched optimization without third-party compatibility risks.
  • Engineering-driven approach: Onze R&D team of 8 PhD-level engineers reinvests 10% of annual revenue into development. We provide custom gear motor solutions tailored to your specific torque, snelheid, and mounting requirements—including BLDC planetary gear motors with up to 200 N·m torque.
  • 100% individuele testen: Every gear motor undergoes complete performance testing—torque, efficiëntie, lawaai, and temperature—before shipment, ensuring compliance with IEC 60034 en NEMAMG 1 normen.
  • Global compliance: ISO 9001, CE, en energie-efficiëntiecertificeringen. Our motors meet DOE 10 CFR-onderdeel 431 requirements for the US market and IEC 60034-30-1 IE3/IE4 efficiency classes.
  • Regional support: Through our partnership with United Motion Inc., we provide local engineering support, sample testing, and after-sales service in North America and Europe.
  • Scale and experience: Production capacity of 30,000+ units per month, with proven expertise across automotive, robotica, industriële automatie, and consumer goods sectors.

Whether you need a standalone gearbox, a fully integrated gear motor, or a DC right-angle gear motor for a specific application, our engineering team is ready to help you select or customize the optimal solution. Neem contact met ons op for a free technical consultation.

Referenties

  1. IEC 60034-1:2022, Roterende elektrische machines — Deel 1: Beoordeling en prestaties. Internationale Elektrotechnische Commissie. https://webstore.iec.ch/publication/60746
  2. IEC 60034-30-1:2014, Roterende elektrische machines — Deel 30-1: Efficiëntieklassen van lijnaangedreven AC-motoren. Internationale Elektrotechnische Commissie. https://webstore.iec.ch/publication/60746
  3. GEEN MG 1-2024, Motoren en generatoren. Nationale Vereniging van Elektrische Fabrikanten. https://www.nema.org/standards/view/motors-and-generators
  4. ONS. Ministerie van Energie, Energiebesparingsnormen voor elektrische motoren: 2026 Amendment, 10 CFR-onderdeel 431. https://www.energy.gov/cmei/buildings/small-electric-motors
  5. IEA Electric Motor Systems Platform (EMSA), Electric motor systems account for 53% van het mondiale elektriciteitsverbruik. https://www.iea-4e.org/emsa/
  6. SKF, Bearing rating life — L10 calculation per ISO 281. https://www.skf.com/africa/en/products/bearings-units-housings/principles/bearing-selection-process/bearing-size/size-selection-based-on-rating-life/bearing-rating-life/index.html
  7. Siemens SIMOGEAR Gear Motor Products, Technical specifications: 0.09–55 kW, torque up to 19,500 Nm, efficiency ≥96%. https://simotech.com/products/servo-geared-motors/
  8. Matsuki H, Nagano K, Fujimoto Y. “Bilateral Drive Gear — A Highly Backdrivable Reduction Gearbox for Robotic Actuators,” IEEE/ASME Transactions on Mechatronics, 2019;24(6):2661-2673. DOI: 10.1109/TMECH.2019.2946403
  9. Wu YC, Chen GC, Yan HS. “Optimization design of a DC commutator motor with an integrated planetary gear train,” IEEE-transacties op magnetisme, 2011;47(10):4461-4464. DOI: 10.1109/TMAG.2011.2157666
  10. Kobuse D, Fujimoto Y. “Efficiency optimization of high-reduction-ratio planetary gears for very high power density actuators,” 2016 IEEE 25th International Symposium on Industrial Electronics (ISIE), 2016:1240-1245. DOI: 10.1109/isie.2016.7745072

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