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مقدار الوزن الذي يمكن أن يحمله محرك DC?

مقدار الوزن الذي يمكن أن يحمله محرك DC

How Much Weight Can a DC Motor Carry?

إجابة سريعة

The weight a DC motor can carry depends on three factors: إنه إخراج عزم الدوران, ال radius of the pulley or lever arm, و gear reduction ratio. The fundamental formula is mass = torque / (radius × g), where g is gravitational acceleration (9.81 m/s²). A small DC motor rated at a few watts may lift only a few kilograms, while a gear motor rated at several hundred watts can lift hundreds of kilograms. على سبيل المثال, a motor with 173.6 N-cm rated torque using a 2 cm radius pulley can lift approximately 8.85 kg directly — and with a 10:1 gearbox at 90% كفاءة, that capacity increases to about 79.7 كلغ. لكل IEC 60034-1 و لا ملغ 1, motors must be derated when operated above their continuous duty rating, so a safety factor of 1.5–2.0× should always be applied to weight capacity calculations.

جرينسكي باور 12 فولت دي سي موتورز

What Determines DC Motor Weight Capacity?

DC motor weight capacity is not a single specification — it is the result of the interaction between the motor’s إخراج عزم الدوران, the mechanical transmission system, and the thermal limits of the motor. Understanding these relationships requires defining several key terms:

  • عزم الدوران (ت) — The rotational force produced by the motor, measured in N·m (نيوتن ميت) or kg·cm. Torque is the primary determinant of how much weight a motor can move.
  • Stall torquestall) — The maximum torque the motor produces when the shaft is prevented from rotating. Operating at stall torque for more than a few seconds will destroy most motors due to excessive current and heat.
  • Rated (nominal) عزم الدوران (تrated) — The torque the motor can deliver continuously without exceeding its insulation class temperature limit. This is the value used for sustained weight-lifting calculations.
  • Pulley radius (ص) — The distance from the motor shaft center to the point where the lifting force is applied. A smaller radius allows the motor to lift more weight but at a slower linear speed.
  • Gear ratio (أنا) — The ratio by which a ناقل الحركة reduces speed and multiplies torque. أ 10:1 gear ratio multiplies torque by approximately 9× (حساب ل 90% gearbox efficiency).
  • دورة العمل — Per NEMA MG 1 جزء 10 واللجنة الانتخابية المستقلة 60034-1, the duty cycle (S1 continuous, S2 short-time, S3 intermittent) defines how long the motor can sustain a given load. Weight capacity must be calculated against the intended duty cycle.

The relationship between these parameters is governed by the torque equilibrium equation: the motor’s output torque must exceed the torque created by the load (mass × gravity × radius) for lifting to occur.

جرينسكي باور 24 فولت دي سي موتورز

How DC Motors Generate Torque: خطوة بخطوة

To understand weight capacity, it helps to trace how a DC motor converts electrical input into the mechanical torque that ultimately lifts a load:

  1. Magnetic field establishment — In a محرك DC مصقول, permanent magnets (or field windings) in the stator create a stationary magnetic field. في أ محرك DC بدون فرش, the controller sequentially energizes stator phases to create a rotating field.
  2. Armature current flow — When voltage is applied, current flows through the armature windings (نحى) or stator phases (فرش). The magnitude of this current directly determines torque: T = Kر × Φ × Iأ, where Kر is the torque constant, Φ is magnetic flux, and Iأ is armature current.
  3. Lorentz force and rotation — Current-carrying conductors in the magnetic field experience a force (F = BIL) perpendicular to both field and current. This force creates torque on the rotor, مما تسبب في تدويره.
  4. Back-EMF and equilibrium — As the rotor spins, it generates a back-electromotive force (back-EMF) proportional to speed. At steady state, the motor reaches an equilibrium where the net current produces exactly enough torque to balance the load.
  5. Torque transmission to load — The motor shaft torque is transmitted through a coupling, بكرة, هيأ, or leadscrew to the load. The mechanical advantage of this transmission system determines the final lifting force.

The key insight for weight capacity is step 5: the motor’s shaft torque is only the starting point. The transmission system — gears, البكرات, levers — determines how that torque translates into lifting force. This is why a small motor with the right gearbox can lift surprisingly heavy loads.

DC Motor Types: Weight Capacity Comparison Table

نوع المحركTypical Torque RangeTypical Weight Capacity*أفضل لLimitation
Coreless DC motor (على سبيل المثال, Faulhaber 1506SR)0.4–0.6 mNm (stall)< 1 gram (direct drive)Precision instruments, micro-roboticsExtremely low torque; requires micro-gearbox
Small brushed DC motor (على سبيل المثال, Faulhaber 0816)1.0–1.15 mNm (stall)~10–15 grams (direct drive)ألعاب, small actuators, camera drivesBrush wear; limited continuous torque
BLDC servo motor (على سبيل المثال, Faulhaber 2057 BA)309 mNm (stall); 13.7 mNm (rated)~1.5 kg (direct); ~15 kg (مع 10:1 ناقل الحركة)علم الروبوتات, أجهزة طبية, أتمتةRequires controller; higher cost
High-performance DC motor (على سبيل المثال, maxon RE 40)1,020 mNm (stall); 189 mNm (rated)~5.2 kg (direct); ~47 kg (مع 10:1 ناقل الحركة)علم الروبوتات, الأتمتة الصناعية, climbing robotsBrush maintenance; 48V supply required
Industrial gear motor (على سبيل المثال, 12V 390W with 800:1)560 ن · م (output, مع علبة التروس)~800 kg (with appropriate pulley)Door operators, الرافعات, بوابات, liftsسرعة منخفضة; large physical size

*Weight capacity values assume vertical lifting with a 2 cm radius pulley at motor rated torque (not stall torque), مع أ 0.7 عامل الأمان. Actual capacity depends on gear ratio, pulley diameter, دورة العمل, and ambient temperature.

البيانات الهندسية: صيغ عزم الدوران, كفاءة, and Temperature Limits

Core Torque and Weight Formulas

The following equations govern the relationship between motor torque and lifting capacity. These are derived from classical mechanics and are consistent with the torque calculation methodologies described in the maxon DC motor technical handbook and Faulhaber product documentation:

1. Torque required to lift a mass (vertical lifting):
ر = (m × g) × r
where τ = torque (ن · م), m = mass (كلغ), g = 9.81 m/s², r = pulley radius (م)

2. Maximum weight a motor can lift:
مmax = Tstall / (r × g)
Use rated torque with safety factor for continuous operation

3. Gearbox output torque:
تخارج = Tمحرك × i × η
where i = gear ratio, η = gearbox efficiency (typically 0.85–0.95 per stage)

4. Motor power from torque and speed:
P = T × ω = T × (2π × n / 60)
Or: ت (ن · م) = 9550 × ص (كيلوواط) / ن (دورة في الدقيقة)

5. DC motor torque from current:
T = Kر × Iأ
where Kر = torque constant (N·m/A), أناأ = armature current (أ)

Worked Example: 12V 100RPM 173.6 N-cm DC Motor

The existing Greensky Power article references a 12V 100RPM DC motor with 173.6 N-cm rated torque. Here is the complete weight capacity calculation:

المعلمةقيمةCalculation
تصنيف عزم الدوران173.6 N-cm = 1.736 ن · مGiven
Pulley radius2 cm = 0.02 مSelected (common size)
Theoretical max weight8.85 كلغ1.736 / (0.02 × 9.81)
مع 70% عامل الأمان6.2 كلغ8.85 × 0.7
مع 10:1 ناقل الحركة (90% eff.)79.7 كلغ1.736 × 10 × 0.9 / (0.02 × 9.81)
مع 10:1 ناقل الحركة + 70% أمان55.8 كلغ79.7 × 0.7

This demonstrates why the gear ratio is the single most powerful tool for increasing weight capacity: أ 10:1 gearbox increased lifting capacity from 8.85 kg to 79.7 kg — a 9× improvement. For more on gearbox selection, انظر لدينا gearbox selection guide.

Efficiency and Power Loss Data

Motor efficiency directly affects weight capacity because wasted energy becomes heat, which limits the continuous torque output. Per a 2026 IEEE Access study on PMDC motor optimization by Esenboğa, efficiency improvements from 74.1% إلى 84.6% increased torque output from 3.93 N·m to 4.93 N·m — a 25% improvement through magnet geometry optimization alone.

نوع المحركMax EfficiencyPrimary Loss SourceReference
Faulhaber 0816 (coreless, نحى)69%Precious metal brush frictionFaulhaber datasheet
maxon RE 40 (coreless, نحى)89%Graphite brush + winding resistancemaxon technical handbook
Faulhaber 2057 BA (BLDC)90%Winding resistance + iron lossFaulhaber datasheet
Typical PMDC (iron core, نحى)74-85%Iron loss + brush friction + I²RIEEE Access (Esenboğa, 2026)

حدود درجة الحرارة (IEC 60034-1 Insulation Classes)

When a DC motor lifts heavy loads, the armature current increases, generating heat through I²R losses. If the winding temperature exceeds the insulation class limit, the motor will fail. Per IEC 60034-1:

فئة العزلماكس لف درجة الحرارةAllowed Temp Rise (40°C ambient)Example Motor
الفئة ب130درجة مئوية80درجة مئويةStandard industrial PMDC
الفئة ف155درجة مئوية100درجة مئويةmaxon RE 40 (155°C limit); most industrial motors
فئة ح180درجة مئوية125درجة مئويةHeavy-duty / high-temp motors
Special (Faulhaber 2057 BA)140درجة مئوية100درجة مئويةBLDC with stainless steel housing

At rated torque, a motor typically reaches thermal equilibrium at 60–80% of its insulation class limit. When lifting heavy loads near stall torque, the temperature can exceed the limit within seconds. Thermal sensors (PTC or NTC thermistors embedded in the windings) or current limiting in the تحكم المحرك are essential for heavy-load applications. See our motor testing standards guide for thermal test procedures.

Duty Cycle Ratings (لا ملغ 1 / IEC 60034-1)

Weight capacity is meaningless without specifying the duty cycle. A motor can lift a much heavier load for 5 ثواني (S2 short-time duty) than it can lift continuously (S1 continuous duty):

  • S1 (Continuous duty) — Motor runs at constant load long enough to reach thermal equilibrium. Use rated torque for capacity calculations.
  • S2 (Short-time duty) — Motor runs at constant load for a specified time (10, 30, 60 دقيقة), then rests. Can handle 1.3–1.5× rated torque during the active period.
  • S3 (Intermittent periodic duty) — Alternating periods of load and rest (على سبيل المثال, 60% دورة العمل). Capacity depends on the on/off ratio; typically allows 1.1–1.3× rated torque.
  • S4/S5 (Intermittent with starting/braking) — Frequent starts and stops add thermal stress from high inrush current. Derate capacity by 10–20%.

Best Applications for DC Motors in Weight Lifting

1. Electric Hoists and Winches

12V and 24V DC gear motors are the standard for portable electric hoists, ATV winches, and boat trailer winches. A typical 12V 2000W winch motor with a 300:1 planetary gearbox can pull up to 4,000 كلغ (8,800 رطل) on a single line. The high gear ratio trades speed for massive torque multiplication. For our محرك DC مصقول platform, common hoist applications use motors rated at 200–500W with 100:1 إلى 500:1 علب التروس.

2. الروبوتات والأتمتة

In robotic arm joints, محركات التيار المستمر (particularly BLDC servos) lift payloads through lever arms. The torque requirement is calculated as T = (payload_mass × g × arm_length) / gear_ratio. ل 5 kg payload on a 0.3 m arm with a 100:1 harmonic drive at 85% كفاءة, the motor must deliver at least 0.173 N·m — well within the range of a Faulhaber 2057 BA BLDC motor (13.7 mNm rated, 309 mNm stall). See our robotics motor guide for servo-grade BLDC specifications.

3. Electric Vehicles and Material Handling

DC motors power electric forklifts, الرافعات البليت, و electric forklift motors that carry loads of 1,000–5,000 kg. These applications use 24V or 48V series-wound DC motors rated at 1–10 kW, paired with differential gearboxes. The high starting torque of DC motors (up to 400–500% of rated torque) is essential for accelerating heavy loads from standstill. For e-bike and scooter applications, ملكنا e-bike motor controller guide covers BLDC drive systems.

4. Door and Gate Operators

Sliding gate operators and automatic door systems use 12V or 24V DC gear motors to move doors weighing 200–800 kg. The Mingniao DC800K motor, على سبيل المثال, is rated at 24V 390W with an 800 kg door weight capacity — achieved through a high-ratio gearbox that delivers 560 N·m output torque at just 3 دورة في الدقيقة. See our gear motor with speed control page for similar configurations.

5. Medical and Laboratory Equipment

Patient lifts, adjustable hospital beds, and laboratory actuators use precision DC gear motors to lift loads of 50–200 kg with smooth, عملية هادئة. Brushless DC motors are preferred for their low maintenance and precise speed control. Faulhaber BLDC motors with integrated encoders are commonly specified for FDA-compliant medical devices. See our micro DC gear motor guide for low-speed, high-torque configurations.

Step-by-Step Motor Selection for Weight Lifting

Follow this six-step process to calculate the required DC motor specifications for your weight-lifting application:

  1. Define the load and motion. Determine the mass to be lifted (كلغ), the lifting direction (vertical, inclined, or horizontal), the required linear speed (آنسة), and the duty cycle (continuous, intermittent, short-time). Vertical lifting requires overcoming gravity (F = m × g); horizontal movement only requires overcoming friction (F = m × g × μ, where μ is the friction coefficient, typically 0.05–0.3 for wheels on flat surfaces).
  2. Calculate the required output torque. Using the pulley or drum radius: تحمل = F × r = (m × g) × r. ل 50 kg load on a 3 cm radius drum: تحمل = 50 × 9.81 × 0.03 = 14.7 ن · م. Add acceleration torque if the load must be accelerated: تaccel = J × α (moment of inertia × angular acceleration).
  3. Select the gear ratio. Choose a gear ratio that reduces the motor’s rated torque to exceed the load torque with a safety margin: i ≥ Tحمل / (تmotor_rated × η × SF), where η is gearbox efficiency and SF is the safety factor (1.5–2.0). For our 14.7 N·m load with a motor rated at 1 ن · م, 90% gearbox efficiency, و 1.5 عامل الأمان: i ≥ 14.7 / (1 × 0.9 × 1.5) = 10.9 → select a 12:1 ناقل الحركة. See our gearbox selection guide for ratio and type selection.
  4. Verify the motor speed. The output speed after gearing must meet the required lifting speed: نخارج = nمحرك / أنا. Linear speed = nخارج × 2π × r / 60. If the motor runs at 3,000 RPM with a 12:1 gearbox and 3 cm drum, the lifting speed is (3000/12) × 2π × 0.03 / 60 = 0.785 آنسة. Adjust the gear ratio or motor speed if this is too fast or slow.
  5. Check thermal limits. Calculate the motor’s continuous power requirement: P = Tمحرك × ωمحرك. Ensure the motor’s rated power exceeds this value. Check that the expected temperature rise (based on I²R losses and the motor’s thermal resistance, typically listed in datasheets as Rth1 and Rth2) stays within the insulation class limit. For the Faulhaber 2057 BA, the winding-to-ambient thermal resistance is 1.1 K/W — a 1.0 A current through 0.427 Ω resistance generates 0.427 W of heat, raising the winding temperature by 0.47°C above ambient, well within the 140°C limit.
  6. Specify protection devices. Install a current-limiting تحكم المحرك that cuts power when armature current exceeds 1.5× rated current. Add a thermal cutoff or PTC thermistor in the windings. For battery-powered applications, include a fuse rated at 1.25× the maximum operating current. For heavy loads, consider a custom motor design with integrated thermal protection.

Common Engineering Mistakes When Calculating DC Motor Weight Capacity

  1. Using stall torque instead of rated torque. Stall torque represents the absolute maximum at zero speed — operating a motor at stall for more than a few seconds will cause thermal failure. Always calculate continuous weight capacity using rated torque, and reserve stall torque only for momentary peak loads (على سبيل المثال, breakaway torque). The maxon RE 40 has a stall torque of 1,020 mNm but a rated torque of only 189 mNm — using stall torque overstates capacity by 5.4×.
  2. Ignoring gearbox efficiency losses. Each gear stage loses 5–15% of torque to friction. A three-stage planetary gearbox with 90% per-stage efficiency transmits only 0.9³ = 72.9% of input torque. Engineers who calculate output torque as Tمحرك × i without the efficiency factor will overestimate capacity by 27%.
  3. Neglecting acceleration torque. A motor must overcome not only the static load (gravity) but also the inertial force needed to accelerate the mass from rest: Faccel = m × a. ل 50 kg load accelerated at 2 m/s², the additional force is 100 N — equivalent to adding 10.2 kg to the static load. This is often overlooked in applications like elevators and robotic arms.
  4. Using the wrong pulley radius. The lifting capacity is inversely proportional to pulley radius. Doubling the pulley radius halves the lifting capacity but doubles the linear speed. Engineers sometimes select a large pulley for speed, then discover the motor cannot lift the intended load. Always verify capacity after finalizing the mechanical design.
  5. Not derating for ambient temperature and altitude. Per IEC 60034-1, motors must be derated when ambient temperature exceeds 40°C or altitude exceeds 1,000 م. At 50°C ambient, the allowable temperature rise decreases by 10°C, reducing continuous torque capacity by approximately 8–12%. في 2,000 m altitude, derate by an additional 10% due to reduced air cooling.
  6. Overlooking duty cycle in motor selection. A motor rated for S1 (continuous) duty at 100W cannot deliver 200W for 30 minutes in S2 duty without exceeding thermal limits — the relationship is not linear. Always check the manufacturer’s duty cycle derating curve, and select a motor with the correct efficiency rating for the intended operating profile.

جدول استكشاف الأخطاء وإصلاحها: DC Motor Weight Capacity Problems

مشكلةالسبب المحتملحل
Motor stalls when lifting the target weightLoad torque exceeds motor stall torque; insufficient gear ratioIncrease gear ratio; use a motor with higher torque constantر); reduce pulley radius
Motor lifts load but overheats within minutesOperating above rated torque; insufficient cooling; wrong duty cycleCheck current vs. rated current; add forced air cooling; switch to intermittent duty (S3); select a larger motor
Motor lifts load but speed is too slowExcessive gear reduction; voltage too low; load near rated torqueReduce gear ratio (verify torque margin); increase supply voltage within rated limits; use a higher-power motor
Motor cannot start under loadStarting torque insufficient; static friction higher than expected; voltage sag under loadAdd a soft-start controller; increase gear ratio; use a motor with higher starting torque (series-wound DC)
Motor lifts load initially, then loses capacity over timeThermal derating as winding heats up; ارتداء الفرشاة; battery voltage sagAdd thermal monitoring; check brush length; verify battery capacity and voltage under load
Gearbox fails or strips under loadOutput torque exceeds gearbox rating; shock loads; اختلالSelect gearbox with higher torque rating; add torque limiter or slip clutch; check alignment per NEMA MG 1 tolerances
Load drops when power is removedNo holding brake; gearbox backdrivableInstall electromagnetic brake; use worm gearbox (self-locking at ratios > 20:1); add mechanical ratchet
Inconsistent lifting capacityVoltage fluctuations; intermittent brush contact; gearbox lubrication breakdownUse regulated power supply; inspect brush/commutator; replace gearbox lubricant per maintenance schedule

التعليمات: DC Motor Weight Capacity

1. How much weight can a DC motor carry?

The weight a DC motor can carry depends on its torque rating, the radius of the pulley or lever arm, and the gear ratio. The formula is mass = torque / (radius × 9.81). على سبيل المثال, a motor with 173.6 N-cm torque using a 2 cm radius pulley can lift approximately 8.85 كلغ. With a 10:1 gearbox at 90% كفاءة, the lifting capacity increases to about 79.7 كلغ. Always apply a safety factor of 1.5–2.0× for continuous operation.

2. How do you calculate the lifting capacity of a DC motor?

استخدم الصيغة: مmax = Tstall / (r × g). أولاً, convert stall torque to N·m. Then divide by the product of pulley radius (in meters) and gravitational acceleration (9.81 m/s²). Apply a safety factor of 0.5–0.7 to account for efficiency losses, friction, and acceleration requirements. For geared motors, multiply the motor torque by the gear ratio and efficiency before calculating: تخارج = Tمحرك × i × η. See our electric motor basics guide for more calculation examples.

3. How does gear ratio affect the weight a DC motor can carry?

A gearbox multiplies torque while reducing speed. The output torque equals motor torque multiplied by the gear ratio and efficiency: تخارج = Tمحرك × i × η. على سبيل المثال, أ 10:1 gearbox with 90% efficiency multiplies torque by 9. A motor producing 2 N·m torque can deliver 18 N·m at the gearbox output, increasing lifting capacity by 9×. لكن, the output speed decreases by the same ratio. See our direct drive vs gear motor comparison for trade-off analysis.

4. What is the difference between stall torque and rated torque for weight lifting?

Stall torque is the maximum torque a motor produces when the shaft is held at zero speed — it should never be used as a continuous operating point. Rated (nominal) torque is the torque the motor can deliver continuously without exceeding its thermal limit per IEC 60034-1. For weight lifting applications, always size the motor based on rated torque, not stall torque, and apply a safety factor of 1.5–2.0×. The maxon RE 40, على سبيل المثال, has a stall torque of 1,020 mNm but a rated torque of only 189 mNm.

5. Can a 12V DC motor lift heavy loads?

نعم. The voltage rating (12الخامس) does not directly determine lifting capacity — torque does. A 12V DC motor with high torque output, combined with a suitable gearbox, can lift hundreds of kilograms. على سبيل المثال, a 12V motor rated at 390W with an 800:1 gearbox can lift up to 800 كلغ, as demonstrated in door operator applications. The key is matching the motor’s torque constantر) and the gear ratio to the load requirement. See our 12V BLDC motor controller page for 12V system configurations.

نحى-عالية-دورة في الدقيقة-عزم الدوران-DC-12-فولت-المحرك-السعر مع-IEC-Flange

6. What temperature limits apply to DC motors carrying heavy loads?

Per IEC 60034-1, motor insulation classes define maximum winding temperatures: Class B allows 130°C, Class F allows 155°C, and Class H allows 180°C. When carrying heavy loads, motor temperature rises due to copper losses (I²R). Continuous operation at or near stall torque will rapidly exceed thermal limits. The Faulhaber 2057 BA specifies a maximum winding temperature of 140°C with a thermal resistance of 1.1 K/W (winding to housing). Thermal protection (PTC thermistors) or current limiting in the motor controller is essential for heavy-load applications.

Why Choose Greensky Power for Your DC Motor Solutions?

Calculating weight capacity is only the first step — sourcing a motor that reliably delivers the required torque under real-world conditions is where Greensky Power adds value. منذ 2011, we have manufactured محركات التيار المستمر for B2B customers in 50+ بلدان, with a product portfolio spanning نحى محركات DC, محركات DC بدون فرش, علب التروس, و وحدات التحكم في المحركات.

احصل على عرض أسعار مجاني

Our engineering capabilities for weight-lifting applications include:

  • Integrated motor + ناقل الحركة + controller solutions — Rather than sourcing each component separately, we design the motor, ناقل الحركة, and controller as a system, ensuring the torque, سرعة, and thermal characteristics are matched for your specific load requirement. See our brushed vs brushless DC motor guide to select the right motor type.
  • Custom torque optimization — لدينا ر&فريق د 8 PhD-level engineers provides custom motor design with optimized torque constantsر), winding configurations, and magnetic circuit designs. We reinvest 10% of annual revenue into R&D and use ANSYS Maxwell FEA simulation for electromagnetic design.
  • 100% load testing — Every motor undergoes individual dynamometer testing to verify torque output, كفاءة, and thermal performance under load. We test to IEC 60034-2 efficiency measurement standards and NEMA MG 1 performance specifications.
  • Thermal protection integration — For heavy-load applications, we embed PTC thermistors in the windings and configure current limiting in the controller to prevent thermal overload. Our motors are certified to ISO, م, and energy efficiency standards.
  • Regional engineering support — For North American and European customers, our subsidiary United Motion Inc. provides local technical consultation, اختبار العينة, and after-sales warranty support. Contact our engineering team to discuss your weight-lifting application requirements.

مراجع

  1. اللجنة الكهروتقنية الدولية. IEC 60034-1:2022 — Rotating electrical machines — Part 1: التقييم والأداء. Available at: https://webstore.iec.ch/publication/61474
  2. الرابطة الوطنية لمصنعي الأجهزة الكهربائية. لا ملغ 1-2021 — Motors and Generators (جزء 10: Duty Cycles; جزء 12: Tests and Performance). Available at: https://www.nema.org/standards/view/Motors-and-Generators
  3. maxon motor ag. محرك بتيار مستمر: Permanent Magnet DC Motor with Coreless Winding — Technical Handbook. Available at: https://www.maxonmotor.com/medias/sys_master/root/8803450421278/maxonDCmotor-Handouts.pdf
  4. فولهابر. Brushless DC-Servomotors 2057BA Series — Technical Datasheet. Available at: https://eshop.faulhaber.com/cn/2057-…-BA/Serie-2057-…-BA
  5. فولهابر. Brushless DC-Servomotors 1660S024BHT Series — Product Page. Available at: https://www.faulhaber.com/en/products/series/1660bht
  6. فولهابر. Flat DC-Micromotors 1506SR Series — Technical Datasheet. Available at: https://www.faulhaber.com/en/products/series/1506sr
  7. محركات الأقراص الدقيقة الدقيقة. “Torque Calculations for Gearmotor Applications.Technical Application Note. Available at: https://www.precisionmicrodrives.com/content/torque-calculations-for-gearmotor-applications
  8. INEED Motors. “How To Select The Right Motor And Reducer For Your Application.” الدليل الهندسي. Available at: https://ineedmicromotors.com/select-right-motor-and-reducer-for-your-application-guide/
  9. Handson Technology. Motor/Torque Equations and Lifting Calculation Examples — Application Note. Available at: https://www.handsontec.com/dataspecs/motor_fan/GA12-N20.pdf
  10. Esenboğa, ب. (2026). “Parametric Sensitivity-Based Optimization of Additively Manufactured Permanent Magnets for Enhanced PMDC Motor Performance.IEEE Access, vol. 14, pp. 45179–45190. DOI: 10.1109/ACCESS.2026.3676935
  11. He, ج. & Wu, ت. (2016). “تصميم, Analysis and Experiment of a Permanent Magnet Brushless DC Motor for Electric Impact Wrench.IEEE Industry Applications Society Annual Meeting. Available at: https://ieeexplore.ieee.org/document/7732736/
  12. Shakhin, Y., Talapiden, K., Thao, N.G.M., Bagheri, م. & Do, T.D. (2023). “Analysis and Design Optimization of Surface Permanent Magnet Motor to Improve Torque Density and Ripple.2023 11th International Conference on Power Electronics and ECCE Asia (ICPE 2023-ECCE Asia), pp. 2308–2311. DOI: 10.1109/ICPEECCEAsia57578.2023.10213924
  13. ABB. Low Voltage Process Motor Guide, Rev D. ABB Motors and Generators. Available at: https://library.e.abb.com/public/1fd380f8ca8b4934ae3fa609d764fd33/21043_ABB_Motor_Guide_REV_D.pdf

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