AAXISLABLINEAR MOTION LAB● v0.9 · ENGLISH DEFAULT

LINEAR AXIS SIZING ASSISTANT · 01

Start with the cycle.
Size the drive.

Define the motion task

Start with the load and target cycle

Mounting orientation

HorizontalIncludes guide frictionVertical, upwardIncludes gravity and acceleration

Moving mass

Travel distance

Target move time

Acceleration time

Option A screw lead

mm/rev

Option B screw lead

mm/rev

Drive efficiency

Friction coefficient

Safety factor

Maximum linear speedWarning threshold

mm/s

Current calculation scope ＋

Symmetric acceleration and deceleration, zero start/end speed, and one direct-drive point-to-point move. Inertia, critical speed, life, DN, and static safety screening are included. Gearboxes, preload drag, regeneration, and manufacturer torque-speed curves are excluded.

Screw lead comparison

Compare speed and torque for the same motion task

Linear speed, thrust, and theoretical power stay unchanged

OPTION A10.0 mm/revLOWER TORQUE

Screw speed: 4000 rpm
Recommended peak torque: 0.254 N·m
Peak mechanical power: 106 W

Speed exceeds the basic threshold; detailed review required

OPTION B20.0 mm/revLOWER SPEED

Screw speed: 2000 rpm
Recommended peak torque: 0.507 N·m
Peak mechanical power: 106 W

Trade-off: Increasing lead reduces the rpm required for the same linear speed, but increases linear-load torque proportionally. This section is a lead screen; continue with the engineering and drive-train checks below and confirm against the selected product catalog.

Preliminary selection recommendation

Turn the calculations into targets for catalog review

READY FOR CATALOG REVIEW

Preferred comparison result

OPTION B20.0 mm/rev

Prefer the option that stays at or below 3000 rpm to preserve more margin for the critical-speed review.

Screening power class≥ 200 WNext common class above peak mechanical power

Peak torque floor≥ 0.507 N·mIncludes the entered safety factor

Direct-drive speed≥ 2000 rpmMotor maximum speed must cover this value

Detailed engineering checks

Add candidate screw and duty-cycle data for the preferred option

Using Option B · 20.0 mm/rev

Thread root diameter

Support span

End support arrangement

Basic dynamic load rating Ca

Life load factor fw

Planned reciprocating rate

cycles/min

Total dwell per cycle

Target service life

Read the root diameter, support span, and Ca from the candidate screw catalog. Life is estimated for full reciprocating travel using a conservative equivalent axial load and excludes preload.

Recommended RMS torque0.286 N·m

Weighted over motion and dwell; includes the 1.5× safety factor

Permissible critical speed3775 rpm

Operating-speed utilization 53.0%

Permissible axial load10240 N

Peak-load utilization 0.9%

Estimated L10 life20.01M h

Ca required for target life ≥ 700 N

Equivalent axial load: 59.1 N
Life travel: 19209734 km
Theoretical maximum rate: 30.0 cycles/min
Buckling load allowance: 10240 N

All four preliminary checks are below their limits

Final confirmation still requires the candidate model's DN limit, static load rating, preload data, and the motor torque–speed curve.

Candidate motor and drive-train checks

Add rotating inertia, DN, static rating, and motor catalog data

Direct drive · no gearbox

Screw shaft diameter DB

Ball center diameter D

Candidate DN limit

mm·rpm

Basic static load rating C0a

Required static safety factor

Motor rotor inertia

×10⁻⁴ kg·m²

Coupling inertia

×10⁻⁴ kg·m²

Permissible load/motor inertia ratio

Motor rated torque

N·m

Motor peak torque

N·m

Motor maximum speed

rpm

Read shaft diameter, ball center diameter, DN, C0a, and motor performance from the actual candidate catalogs. Use the motor manufacturer's permitted inertia-ratio limit.

Load/motor inertia ratio8.92 ×

Candidate motor limit ≤ 10.0×

Peak torque with rotating inertia0.733 N·m

Candidate peak-torque utilization 38.4%

RMS torque with rotating inertia0.426 N·m

Candidate rated-torque utilization 66.9%

System maximum permissible speed3373 rpm

Minimum of critical-speed, DN, and motor limits

Operating DN41500 mm·rpm

Candidate DN-limit utilization 59.3%

Static safety factor125.5 ×

Entered requirement ≥ 2.0×

Reflected linear-load inertia: 2.533 ×10⁻⁴ kg·m²
Ball-screw inertia: 0.986 ×10⁻⁴ kg·m²
Rotating-inertia acceleration torque: 0.150 N·m
DN speed limit: 3373 rpm

Candidate motor and screw pass six preliminary checks

Final review still needs drive voltage, torque–speed curve, regenerative capacity, brake, and coupling permissible speed.

Option A calculation details

Formula and substituted values from motion profile to peak torque

01 · Profile decisionTrapezoidal profile2 × tₐ = 0.400 s < T = 0.800 s

The move includes a constant-speed segment.

02 · Peak speed666.67 mm/sv = 400 ÷ (0.8 − 0.200)

Used to calculate screw rpm and peak power.

03 · Peak acceleration3.333 m/s²a = 666.67 ÷ 0.200 ÷ 1000

Acceleration distance 66.67 mm, constant-speed distance 266.67 mm.

04 · Peak axial thrust95.60 NF = μmg + ma = 12.26 + 83.33

Horizontal motion includes guide friction and acceleration force.

05 · Screw speed4000.0 rpmn = 60 × 666.67 ÷ 10

Check critical speed using the selected screw diameter, length, and support arrangement.

06 · Recommended peak torque0.2536 N·mM = 95.60 × 10 ÷ (2π × 0.900 × 1000) × 1.5

Includes the safety factor but excludes rotating inertia and preload drag torque.

Transparent equations for engineering review

Peak speedv = S / (T − tₐ)

Screw speedn = 60v / L

Drive torqueM = FL / (2πη)

09 · EARLY USER VALIDATION

Completed a real sizing check?

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