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Sourced parameters required — ideal two-inertia model

Two-Inertia Coupling Torsional Arithmetic

Calculate power-speed torque and one ideal undamped torsional mode from documented dynamic stiffness,inertias and excitation order.

No coupling selectionNo generic stiffnessNo resonance verdict

Model gate: use only when two rigid inertias connected by one linear torsional spring are an accepted idealization and all inputs are referred to the coupling shafts. K is only an entered sensitivity multiplier;this page does not derive a service factor or required coupling rating.

Arithmetic results

Nominal transmitted torque,P/ω
K-scaled torque arithmetic
Reduced inertia,J₁J₂/(J₁+J₂)
Ideal undamped torsional frequency
Entered synchronous-order frequency
Frequency ratio,fₙ/fexc
Signed frequency difference,fₙ−fexc
Absolute separation relative to fexc

Exact power-speed torque

ω=2πn/60
T=P/ω=(30000/π)·PkW/nvarvtal
TK=K·T

The former rounded constant9549 is replaced by the direct SI relation. TK is only multiplication by a user-supplied K;it is not labelled a DIN-required torque or coupling rating.

Ideal undamped two-inertia mode

Jred=J₁J₂/(J₁+J₂)
fₙ=(1/2π)√(Ct,dyn/Jred)
fexc=q·n/60

The displayed ratio and separation compare only this one ideal mode with one entered synchronous order. They do not prove resonance avoidance.

DIN740-2 context — no closed load factors implemented

DIN740-2:1986-08 is listed by DIN Media as current and is titled “Power transmission engineering;flexible shaft couplings;parameters and design principles”. Public scope information states that its calculation methods contain empirical load factors and apply only to a linear two-mass system under specific operating conditions;more elaborate methods are required when a rough calculation is not permissible. This page does not reproduce or claim any closed factor,table or clause.

Not modelled: multiple inertias,shaft/distributed stiffness,gear-ratio reflection errors,damping,nonlinear elastomer stiffness,backlash,transient start/stop,fault torque,electrical or reciprocating excitation spectra,harmonics other than entered q,temperature/load dependence,misalignment,maximum speed,bore/key/hub stresses,fatigue,guarding or manufacturer limits.

©2024–2026 Vibromera

Reference arithmetic only;not coupling selection,design approval or proof of resonance avoidance. Scientific review:July2026.

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