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DIN 732 — Thermally Safe Operating Speed of Rolling Bearings, Explained

DIN 732Rolling bearings — Thermally safe operating speed

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DIN 732:2010 — "Wälzlager — Thermisch zulässige Betriebsdrehzahl" — is the German standard for the thermally safe operating speed of a rolling bearing. Its output is a SPEED, not a temperature: n_θ = n_θr · f_n, where n_θr is the bearing's thermal speed rating determined under the standardised reference conditions of DIN ISO 15312, and f_n is a speed ratio obtained from a lubricant parameter K_L and a load parameter K_P. The underlying idea is a heat balance — the bearing's frictional power must equal what can be dissipated through its seating surfaces and its lubricant flow — solved for the speed at which the two are equal at the standard's defined reference temperature.

Two limits appear on a bearing data sheet and they are not the same thing. The REFERENCE SPEED (formerly "thermal speed rating") is the balance point under DIN ISO 15312's standardised test conditions; the LIMITING SPEED is a mechanical limit set by cage stability, lubricant film and centrifugal loading. DIN 732 is the method for taking the reference speed and correcting it to YOUR application — your load, your lubricant, your viscosity — which can differ substantially from the catalogue figure. The method does not apply to thrust roller bearings, where heat balance is not the governing speed criterion, and bearings with rubbing contact seals need the seal friction accounted for separately.

DIN 732's friction model is the Palmgren M = M₀ + M₁ split: a load-independent term M₀ that depends on the lubricant's viscosity and the speed (roughly as (ν·n)^(2/3)) and a load-dependent term M₁. That speed dependence is what makes bearing heat rise faster than linearly with speed, and it is the reason a simple constant-friction estimate is optimistic at high speed or high viscosity.

What DIN 732 covers

  • Thermally safe operating speed n_θ = n_θr · f_n for a rolling bearing under specified operating conditions
  • Correction of the DIN ISO 15312 thermal speed rating via a lubricant parameter K_L and a load parameter K_P
  • The Palmgren M₀ + M₁ friction-moment split, in which the load-independent term carries the speed and viscosity dependence
  • Heat dissipated through the bearing seating surfaces and carried away by the lubricant flow, referenced to the standard's reference surface and reference heat-flow density
  • NOT covered: thrust roller bearings (heat balance is not their speed criterion), and bearings with rubbing contact seals unless the seal friction is added separately
  • NOT covered: motor loss heat, spindle cooling jackets, spindle-assembly thermal resistance, or thermal expansion — DIN 732 is a bearing standard, not a spindle-assembly standard

Governing formulas

Thermally safe operating speed
n_θ = n_θr · f_n

where n_θ = thermally safe operating speed (rpm); n_θr = thermal speed rating per DIN ISO 15312, determined under standardised reference conditions (rpm); f_n = speed ratio, obtained from the standard's tables and diagrams as a function of the lubricant parameter K_L and the load parameter K_P. The coefficient values are tabulated in DIN 732 and are not reproduced here.

Bearing friction moment (Palmgren split, as used by DIN 732)
M = M₀ + M₁, M₀ ∝ f₀ · (ν · n)^(2/3) · d_m³, M₁ = f₁ · P₁ · d_m

where M = total friction moment (N·mm); M₀ = load-independent term, carrying the lubricant viscosity ν and speed n dependence; M₁ = load-dependent term; f₀, f₁ = bearing- and lubrication-type factors; P₁ = a load figure defined per bearing type; d_m = mean bearing diameter (mm). Because M₀ rises as (ν·n)^(2/3), the frictional POWER Q = M·ω scales roughly as n^(5/3) rather than linearly.

Heat balance (the equilibrium condition the standard solves)
Q_friction(n) = Q_dissipated(ΔT_ref)

where Q_friction = frictional power at speed n (W); Q_dissipated = heat removed through the bearing seating surfaces and the lubricant flow at the standard's reference temperature difference (W). DIN 732 solves this for n; a spindle-assembly analysis instead solves an analogous balance for the temperature, which is a different calculation with different inputs.

Frequently asked questions

What is DIN 732 used for?

To determine the thermally safe operating speed of a rolling bearing under your actual operating conditions. It takes the bearing's thermal speed rating from DIN ISO 15312 — the speed at which friction heat and dissipation balance under standardised reference conditions — and corrects it with a lubricant parameter and a load parameter to give n_θ = n_θr · f_n. It is used in high-speed machine-tool spindle design, where the catalogue reference speed often does not reflect the real load, lubricant or preload.

Does MechanixCalc implement DIN 732?

No, and the Thermal Analysis Calculator no longer claims to. DIN 732 solves for a SPEED using coefficient tables, a DIN ISO 15312 thermal speed rating, a reference heat-flow density and a defined reference surface. The MechanixCalc tool solves a spindle-assembly heat balance for a TEMPERATURE, using a bearing maker's published simplified constant-coefficient friction estimate plus a motor-loss term and a cooling-circuit capacity that DIN 732 has no concept of. It is an engineering estimate with no governing standard, and it is labelled as one on every panel. Earlier versions of this page and of the calculator described it as a DIN 732 implementation; that claim was wrong and has been removed.

How does DIN 732 calculate bearing friction heat?

Through the Palmgren M = M₀ + M₁ friction-moment split. M₀ is load-independent and depends on the lubricant viscosity and the speed, roughly as (ν·n)^(2/3); M₁ is load-dependent. The frictional power is Q = M·ω, so the heat rises faster than linearly with speed. A simplified constant-coefficient estimate — M = µ·P·d_m/2 with a single µ, the form published in bearing-maker catalogues — has no M₀ term at all and is therefore optimistic at high speed or high viscosity. The two are often confused; only the M₀ + M₁ form is Palmgren's, and only that form is what DIN 732 builds on.

How does the thermally safe speed relate to the reference speed and limiting speed on a data sheet?

The reference speed (formerly "thermal speed rating") is the heat-balance point under the standardised conditions of DIN ISO 15312. The limiting speed is a separate MECHANICAL limit from cage stability, lubricant film and centrifugal loading. DIN 732 is the method that corrects the reference speed to your actual application — actual loads, actual lubricant, actual cooling — and the result frequently differs substantially from the catalogue figure in either direction. Both limits must be respected; neither supersedes the other.

Which bearings does DIN 732 not cover?

Thrust roller bearings are excluded, because heat balance is not what limits their speed. Bearings with rubbing contact seals are covered only if the seal friction is accounted for separately, since the seals can dominate the friction moment. The method also assumes the heat leaves through the defined seating surfaces and lubricant flow, so an arrangement with a substantially different heat path needs its own analysis.

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