찾다

기어 박스와 기어 모터의 차이점?

기어 박스와 기어 모터의 차이점?

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

빠른 답변

변속 장치 is a standalone mechanical transmission device that reduces speed and multiplies torque from an external motor, 동안 기어 모터 integrates an electric motor and gearbox into a single factory-matched unit. The core difference is 완성: a gearbox requires separate motor selection, shaft alignment, and coupling installation, whereas a gear motor arrives pre-assembled, 테스트를 거쳤습니다., and optimized for compact, reliable operation. 에 따르면 IEA Electric Motor Systems Platform, motor-driven systems account for 53% 전 세계 전력 소비량 대비, making the choice between these two configurations critical for energy efficiency, 유지관리 비용, 총 소유 비용.

기어 박스와 기어 모터의 차이점?

What Is a Gearbox?

A gearbox—also called a 기어 감속기 또는 speed reducer—is a mechanical device consisting of gear sets housed within an enclosure. It does ~ 아니다 generate power; instead, it modifies the speed, 토크, and direction of rotational motion transmitted from an external power source (전기 모터, 엔진, or turbine) to a driven load. 그만큼 IEC 60034-1 standard classifies gearboxes as mechanical transmission components, ~하는 동안 MG 없음 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 (예를 들어, bevel gears for 90° turns)
  • Load matching: Matches motor output characteristics to the driven equipment’s demand curve
  • 관성 매칭: Reduces reflected load inertia to improve motor control stability

Gearbox Types by Transmission Architecture

유형Gear Configuration일반적인 효율성최대 비율 (Single Stage)가장 좋습니다
Spur GearboxParallel shafts, straight teeth95-98%~10:1Low-speed, low-noise applications
헬리컬 기어박스Parallel shafts, angled teeth96-98%~15:1High-load, quiet industrial drives
베벨 기어박스Intersecting shafts (90°)94-97%~6:1Direction change, 컨베이어 시스템
벌레 변속기Worm wheel + 나사60-90%~60:1High reduction, self-locking needs
유성 기어박스해 + 행성 + ring gears95-97%~10:1높은 토크 밀도, 로봇 공학

Efficiency data sourced from 지멘스 SIMOGEAR 기술 사양 and IEEE research on planetary gear optimization (도이: 10.1109/TMECH.2019.2946403).

기어 박스와 기어 모터의 차이점
기어 박스와 기어 모터의 차이점?

기어 모터란??

A gear motor (또는 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 그리고 암사슴 10 CFR 부분 431 regulation.

Types of Gear Motors

모터 유형Gearbox OptionsTypical Power Range효율성 등급Common Applications
AC 인덕션 기어 모터나선형, 사각, 벌레0.09–55 kWIE2~IE4컨베이어, 믹서, 슬리퍼
Brushed DC Gear Motor박차, 지구의1–1500 W70-85%Automotive seats, 와이퍼
BLDC 기어 모터지구의, 나선형의20–750 W85-92%로봇공학, AGV, 의료
Servo Gear Motor지구의, 사각0.1-30kWIE4–IE5CNC, 포장, 정도

Benefits of Integrated Gear Motors

  • Factory-matched optimization: Motor and gearbox are engineered together, ensuring the pinion, 기어비, and thermal characteristics are perfectly aligned—eliminating the guesswork of separate sizing.
  • 컴팩트한 설치 공간: By using the motor shaft as the input pinion, the overall length is significantly reduced compared to a separate motor + 변속 장치 + 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%.
기어 박스와 기어 모터의 차이점?
기어 박스와 기어 모터의 차이점?

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 (날개), 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. 당 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 볼 베어링의 경우 또는 10/3 롤러 베어링용.
  5. 매끄럽게 하기: Oil bath or grease lubrication reduces friction between meshing gears and dissipates heat. 그만큼 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 (교류, DC, 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 (교류) or voltage (DC).
  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. 예를 들어, ㅏ 맥슨 GPX 32 planetary gearhead achieves a 138:1 ratio across 3 stages with 75% efficiency and 5 N·m continuous torque.
  5. 열 관리: The motor and gearbox share a common housing, allowing heat from both components to dissipate through the same structure. 당 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. 기어 모터: 기능 비교표

특징변속 장치 (Standalone)기어 모터 (통합)
전원External motor requiredMotor included in unit
Integration LevelMechanical component only모터 + gearbox combined
Installation ComplexityHigh—requires shaft alignment, 연결, mountingLow—plug-and-play, pre-assembled
발자국Larger overall assembly콤팩트, space-saving
Motor Selection FlexibilityHigh—any compatible motor can be pairedLimited to factory-installed motor
Coupling Losses1–3% per coupling interfaceNone—direct pinion integration
시스템 효율성낮추다 (정렬 불량 + coupling losses)더 높은 (2–5% improvement typical)
Misalignment RiskHigh—common failure modeMinimal—factory-aligned
유지Motor and gearbox serviced separatelyFewer interfaces, simplified schedule
Failure ReplacementIndividual component replacementEntire unit may need replacement
초기비용낮추다 (변속 장치 + separate motor)더 높은 (integrated unit)
Long-term TCO더 높은 (설치 + 유지 + downtime)Often lower (reduced labor + downtime)
Best Power Range>1 HP (large industrial)<1 HP to ~50 kW (compact/mid)
Standard ComplianceISO 6336 (gear rating), AGMA 925IEC 60034-30-1, MG 없음 1, 암사슴 10 CFR 431

엔지니어링 데이터: 능률, 온도 제한, 및 토크 공식

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

IEC 클래스NEMA 상당설명Loss Reduction vs. IE1일반적인 응용
IE1표준 효율기준선 (phased out in most markets)-Legacy equipment
IE2고효율Mandatory minimum in some regions~10% less loss일반산업
IE3프리미엄 효율성Current US minimum (암사슴 10 CFR 431)~20% less lossNew installations (post-2026)
IE4슈퍼 프리미엄Required June 2027 for mid-range motors~30% less lossEnergy-critical, VFD applications
IE5울트라 프리미엄 (아직 NEMA 정의되지 않음)Future standard under development~40% less lossCutting-edge efficiency

원천: IEC 60034-30-1:2014 그리고 DOE Small Electric Motors Program. 메모: 암사슴 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 절연 등급 온도 제한

절연 등급Max Temperature RiseHot Spot Allowance최대 권선 온도Typical Gear Motor Example
클래스 A60° C5° C105° C저비용, light-duty
클래스 E75° C5° C120° CStandard consumer
클래스 B80° C10° C130° CIndustrial standard
F급100° C15° C155° C맥슨 GPX 32 (operating range −40 to +100°C)
클래스 h125° C15° C180° C고온, 튼튼한

원천: IEC 60034-1 회전 전기 기계 - 정격 및 성능. 주변 온도: 40° C, 고도: ≤1000 m.

Core Engineering Formulas

1. 기어비

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

어디: 나는 = 기어비, N = speed (rpm), T = torque (N·m), η_gear = gearbox mechanical efficiency.

2. 출력 토크

T_output = T_motor × i × η_gear

예: ㅏ 0.5 N·m motor with a 50:1 유성 기어박스 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)

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

4. 시스템 효율성 (모터 + 변속 장치)

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 + 모터 + 연결: η_system = η_motor × η_gear × 0.98 (가정 2% 결합 손실).

5. SKF Bearing L10 Life

L10h = (10⁶ / 60N) × (씨 / 피)^p

어디: L10h = rated life in hours (90% 신뢰할 수 있음), C = 기본동정격하중 (kN), P = equivalent dynamic bearing load (kN), n = 회전 속도 (rpm), 피 = 3 볼베어링용, 10/3 롤러 베어링용. 원천: SKF Bearing Rating Life.

6. MG 없음 1 서비스 팩터

SF = P_allowable / P_rated

MG 없음 1 서비스 요소를 정의합니다 (일반적으로 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

매개 변수맥슨 GPX 32 (Standalone Gearbox)지멘스 SIMOGEAR (Integrated Gear Motor)
기어비138:1 (3-stage planetary)3.57–500 (1–3 stage, multiple types)
Max Continuous Torque5 N·m까지 19,500 N·m
기계적 효율성75%≥96% (2-단계), ≥94% (3-단계)
백래시0.9° (평균)낮은 (helical gear design)
Input Speed까지 8,000 rpmMotor-dependent (1,400–3,600 rpm typical)
온도 범위−40 to +100°C−20 to +60°C (주변)
전원External motor requiredIE2/IE3/IE4 motor integrated
보호 등급Not rated (open)IP55

출처: 맥슨 GPX 32 datasheet; Siemens SIMOGEAR servo geared motors.

Best Applications for Gearboxes

애플리케이션Why 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
채광 & 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
해양 추진Custom 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

애플리케이션Why an Integrated Gear Motor?Typical Power Range
컨베이어 시스템콤팩트, pre-aligned unit reduces installation time on production lines; IP55 rated for dust environments0.09–7.5 kW
로봇공학 & AGV높은 토크 밀도, precise backlash control, integrated encoder options; BLDC planetary gear motors deliver 80–200 N·m in compact footprints20–750 W
포장기계조용한 작동, 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. 기어 모터

  1. Define your load requirements: Determine the required output torque (N·m), 출력 속도 (rpm), 듀티 사이클 (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 서비스 팩터 (1.15) for NEMA-rated motors.
  4. Evaluate power range:
    • 을 위한 ≤50 kW with standard ratios: ㅏ 기어 모터 is typically more cost-effective and reliable.
    • 을 위한 >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), 습기, 먼지, and washdown requirements. Gear motors offer IP55–IP65 integrated protection; standalone gearboxes may require additional sealing.
  6. Calculate total cost of ownership (TCO):TCO = Purchase cost + Installation cost + 에너지 비용 + Maintenance cost + Downtime costPer DOE analysis, energy costs represent 90–95% of TCO over a 20-year motor life. Each efficiency class improvement (예를 들어, IE3 → IE4) reduces losses by approximately 10–15%.
  7. 베어링 수명 검증: 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 < 목표, upgrade bearing size or type.
  8. Check compliance: Verify that the motor meets IEC 60034-30-1 efficiency requirements for your region and 암사슴 10 CFR 부분 431 for the US market. 북미용, ensure NEMA MG 1 frame size compatibility.

일반적인 엔지니어링 실수

#실수결과올바른 접근 방식
1Using a separate gearbox + motor without proper shaft alignment조기 베어링 고장, 진동, 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 없다 / 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; 간헐적 또는 자동 잠금 응용 분야를 위한 예비 웜 기어
4Ignoring thermal limits when integrating motor and gearboxCombined heat exceeds IEC 60034-1 절연 등급; 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

문제 해결 표: 문제 → 원인 → 해결책

문제가능한 원인해결책
Excessive vibration and noiseMisalignment between motor and gearbox (standalone); gear tooth wear; bearing damageRealign shaft with laser tool; inspect gear teeth for pitting; 베어링을 교체하다 (verify SKF L10 life)
Gearbox overheating (>90°C oil temp)Insufficient lubrication; overloaded gear stage; 막힌 환기Check 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; 압수된 베어링; 모터 고장 (기어 모터); 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 (브러시 마모, insulation breakdown)백래시 측정 (compare to manufacturer spec, 예를 들어, 맥슨 GPX 32: 0.9°); test motor torque constant Kt
간헐적인 작동 / 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; 오염; over-greasingRecalculate L10 life with actual load spectrum; upgrade to sealed bearings; follow relubrication intervals per SKF guidelines

자주 묻는 질문

Is a gearbox the same as a gear motor?

아니요. 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 완성: a gearbox is one component, while a gear motor is a complete drive system. For a deeper comparison of gearbox types, 가이드를 참조하세요 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 (예를 들어, 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, 믿을 수 있는, and easy-to-install drives, ㅏ 기어 모터 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 효율성 등급 (IE1~IE5) 또는 MG 없음 1 효율성 수준. 미국에서는, 암사슴 10 CFR 부분 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?

공식을 사용하십시오: T_output = T_motor × i × η_gear, where T_motor is the motor’s rated torque, 나는 기어비야, and η_gear is the gearbox mechanical efficiency. 예를 들어, ㅏ 0.5 N·m motor with a 50:1 유성 기어박스 95% 효율성은 생산 23.75 N·m output torque. Always apply a safety factor of 1.3–1.5 for variable loads. For DC motor torque calculations, 우리를 보아라 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). 하지만, 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.

Greensky Power를 선택하는 이유?

Understanding the difference between a gearbox and a gear motor is only the first step—selecting the right manufacturing partner is equally critical. 그린스카이 파워 DC모터를 설계, 제작해왔습니다., 기어박스, and integrated gear motor solutions since 2011, OEM 고객에게 서비스 제공 50 국가.

What Sets Us Apart

  • 수직적 통합: We manufacture both the motor and gearbox in-house—brushed DC motors, BLDC 모터, 그리고 precision gearboxes—ensuring factory-matched optimization without third-party compatibility risks.
  • Engineering-driven approach: 우리 R&D팀 8 PhD-level engineers reinvests 10% of annual revenue into development. We provide custom gear motor solutions tailored to your specific torque, 속도, and mounting requirements—including BLDC planetary gear motors with up to 200 n · m 토크.
  • 100% 개별 테스트: Every gear motor undergoes complete performance testing—torque, 능률, 소음, and temperature—before shipment, ensuring compliance with IEC 60034 그리고 NEMA MG 1 표준.
  • Global compliance: ISO 9001, CE, 및 에너지 효율 인증. Our motors meet 암사슴 10 CFR 부분 431 requirements for the US market and IEC 60034-30-1 IE3/IE4 efficiency classes.
  • 지역별 지원: 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, 로봇 공학, 공업 자동화, 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. 문의하기 for a free technical consultation.

참조

  1. IEC 60034-1:2022, 회전 전기 기계 - 부품 1: 평가 및 성능. 국제전기기술위원회. https://webstore.iec.ch/publication/60746
  2. IEC 60034-30-1:2014, 회전 전기 기계 - 부품 30-1: 라인 작동 AC 모터의 효율 등급. 국제전기기술위원회. https://webstore.iec.ch/publication/60746
  3. MG 없음 1-2024, 모터 및 발전기. 전국전기제조협회. https://www.nema.org/standards/view/motors-and-generators
  4. 우리를. 에너지학과, 전기 모터의 에너지 절약 표준: 2026 Amendment, 10 CFR 부분 431. https://www.energy.gov/cmei/buildings/small-electric-motors
  5. IEA Electric Motor Systems Platform (EMSA), Electric motor systems account for 53% 전 세계 전력 소비량 대비. 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. 도이: 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,” 자기학에 관한 IEEE 거래, 2011;47(10):4461-4464. 도이: 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. 도이: 10.1109/isie.2016.7745072

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