Gear Mesh Frequency Calculator
GMF and sidebands from tooth count and shaft speed — gearbox health in three numbers.
Healthy gears show GMF with small symmetric sidebands. The diagnostic gold is WHICH sideband spacing grows: spacing at pinion speed indicts the pinion, at gear speed the gear — the spectrum names the guilty part before teardown.
Formula
Note: Condition-monitoring guidance, not a substitute for the machine maker's limits or a qualified vibration analyst on safety-critical equipment.
GMF and sidebands from tooth count and shaft speed — gearbox health in three numbers. A free cnc machining: speeds, feeds & tool wear tool — no sign-up, no upload, instant results in your browser.
About Gear Mesh Frequency Calculator
Gear Mesh Frequency Calculator computes the governing relationship GMF = f_pinion × z_pinion = f_gear × z_gear live as you type. Healthy gears show GMF with small symmetric sidebands. The diagnostic gold is WHICH sideband spacing grows: spacing at pinion speed indicts the pinion, at gear speed the gear — the spectrum names the guilty part before teardown. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.
How to use Gear Mesh Frequency Calculator
- 1Enter your values — Pinion shaft speed, Pinion teeth, Gear teeth (sensible defaults are pre-filled).
- 2Read the live results: Gear mesh frequency, Pinion rotation (sideband), Gear rotation (sideband).
- 3Check the "with your numbers" line to see GMF = f_pinion × z_pinion = f_gear × z_gear substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Gear Mesh Frequency Calculator?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula GMF = f_pinion × z_pinion = f_gear × z_gear with authoritative sources cited on the page (ISO 20816-1 (ex 10816) — Mechanical vibration evaluation; ISO 21940-11 — Rotor balancing; ISO 3685 — Tool-life testing with single-point turning tools)
- ✓Healthy gears show GMF with small symmetric sidebands.
- ✓Niche-specific defaults give a meaningful worked answer the moment the page loads
Frequently asked questions
What formula does the gear mesh frequency calculator use?+
It evaluates GMF = f_pinion × z_pinion = f_gear × z_gear, exactly as published. Sources: ISO 20816-1 (ex 10816) — Mechanical vibration evaluation; ISO 21940-11 — Rotor balancing; ISO 3685 — Tool-life testing with single-point turning tools. The substituted worked example on the page lets you verify every step against the textbook.
How should I read the result — and how far can I trust it?+
Healthy gears show GMF with small symmetric sidebands. Condition-monitoring guidance, not a substitute for the machine maker's limits or a qualified vibration analyst on safety-critical equipment.
When is this calculator the right tool for the job?+
GMF and sidebands from tooth count and shaft speed. The diagnostic gold is WHICH sideband spacing grows: spacing at pinion speed indicts the pinion, at gear speed the gear — the spectrum names the guilty part before teardown. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Do I need to install anything or create an account?+
No. The tool is pure client-side JavaScript: open the page and it works, offline once loaded, with no account, no quota and no data leaving your device.
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