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Engine Vibration Analyzer

From an engine’s RPM, stroke and cylinder count this computes the characteristic frequencies that dominate its vibration and sound: the firing frequency, the 1X rotation order, the 0.5-order misfire signature, the harmonic series, and belt-driven accessory frequencies from pulley ratios — plus a diagnostic order guide.

ℹ This is a calculator, not a measurement. The frequencies are exact kinematics for ideal, evenly-firing geometry — you must verify your own inputs (stroke, cylinder count, true pulley diameters). The order → cause map is a common diagnostic convention, not a diagnosis: a real spectrum mixes orders, mount/structural resonances and driveline inputs. To actually measure engine vibration you need a calibrated accelerometer + vibration analyzer (ideally order-tracked to a tachometer); a microphone or this tool cannot give true mm/s velocity or g amplitude. No engine-specific part database is fabricated here.

Engine

Stroke

Stick map of the key orders (0.5X, 1X, 2X, firing and its 2nd harmonic) on a linear-frequency axis — not a measured spectrum.

Order harmonic series

Belt-driven accessory (optional)

Use the same units for both diameters (mm or inches — only the ratio matters). A smaller accessory pulley spins faster.

Diagnostic order guide (a guide, not a diagnosis)

How It Works

An engine repeats two kinds of event as it runs, and each shows up at its own frequency. The first is simply the crankshaft turning: it rotates RPM times a minute, so its fundamental — the 1X or first order — is fr = RPM ÷ 60 Hz. Anything tied to rotation (an out-of-balance crank, a damaged harmonic balancer, a bent driveshaft or wheel) puts energy here. The second is combustion. On a four-stroke each cylinder fires once every two crank revolutions, so the cylinders together produce cyl ÷ 2 power strokes per revolution and the firing frequency is (RPM ÷ 60) × (cyl ÷ 2). A two-stroke fires every cylinder every revolution, so its firing frequency is (RPM ÷ 60) × cyl. The firing frequency is therefore always a fixed order of rotation — 2X for an inline-four four-stroke, 4X for a V8, 6X for a V12, and so on.

Two more orders are worth watching. Because pistons accelerate twice per revolution, reciprocating engines carry an inherent second-order (2X) shake that is famously strong on inline-fours — it is why many four-cylinders buzz at idle. And on a four-stroke a single weak or dead cylinder fires only once every two revolutions, half as often as a healthy one, so a misfire characteristically appears at the 0.5 order (and its odd multiples 1.5X, 2.5X). Belt-driven accessories spin at their own rate set by pulley size: an accessory turns at f = fr × (crank-pulley diameter ÷ accessory-pulley diameter), so a smaller accessory pulley spins faster, and a worn alternator, A/C-compressor or power-steering-pump bearing peaks at that accessory frequency independently of any engine order.

Two honest cautions. First, these are exact kinematics for an idealised, evenly-firing engine — they tell you where peaks should land, not how big they are. You must confirm your own inputs: whether the engine is four- or two-stroke, the real cylinder count, and the true pulley diameters. Second, the order → cause table is a widely used diagnostic convention, not a diagnosis. A real machine mixes many orders with engine-mount and structural resonances and with road and driveline inputs, so a peak at a given frequency only nominates a suspect to investigate. Diesel and marine engines follow the same maths (use the four-stroke or two-stroke rule to match the engine) but often run uneven firing, large flywheels and propeller/shaft orders that add their own peaks. Crucially, to truly measure vibration you need a calibrated accelerometer and a vibration analyzer, ideally order-tracked to a tachometer — a microphone reveals only the frequency content of the airborne sound and cannot report calibrated mm/s velocity or g acceleration.

Frequently Asked Questions

How do I calculate an engine’s firing frequency?
For a four-stroke, firing frequency = (RPM ÷ 60) × (cylinders ÷ 2), because each cylinder fires once every two crank revolutions. For a two-stroke it is (RPM ÷ 60) × cylinders. Example: a four-cylinder four-stroke at 3000 RPM fires at (3000 ÷ 60) × (4 ÷ 2) = 50 × 2 = 100 Hz.
What is the 0.5-order (half-order) misfire signature?
On a four-stroke a healthy cylinder fires once every two crank revolutions. A single weak or dead cylinder therefore contributes an event only every two revolutions — half the rotation rate — so a misfire shows up at 0.5 × the rotation frequency and its odd multiples (1.5X, 2.5X). A strong 0.5X peak is the classic single-cylinder misfire signature on a four-stroke.
How do I find a belt-driven accessory’s frequency?
An accessory turns faster or slower than the crank depending on pulley size: accessory frequency = rotation frequency × (crank-pulley diameter ÷ accessory-pulley diameter). Use the same unit for both diameters — only the ratio matters. A worn alternator, A/C-compressor or power-steering-pump bearing peaks at this accessory frequency, separate from the engine’s own orders.
Can this tool measure my engine’s vibration?
No. It is a calculator that tells you where the characteristic frequencies should land for ideal geometry — it predicts no amplitudes. To measure real vibration you need a calibrated accelerometer and a vibration analyzer, ideally order-tracked to a tachometer. A microphone only captures airborne sound and cannot report calibrated mm/s velocity or g acceleration or an ISO severity rating.
Is the order → cause guide a diagnosis?
No. Mapping orders to likely causes (1X = imbalance, 2X = reciprocating/misalignment, 0.5X = misfire, firing = combustion) is a common diagnostic convention, not a diagnosis. Real spectra mix many orders with engine-mount and structural resonances and with road and driveline inputs, so a measured peak only suggests a suspect to confirm with proper instrumentation.
Does this work for diesel and marine engines?
The firing-frequency maths is identical — pick four-stroke or two-stroke to match the engine and enter the cylinder count. Be aware that large diesels and marine plants often run uneven firing, heavy flywheels, gearing, and propeller/shaft orders that add extra peaks the simple formula does not include, so treat the result as the combustion and rotation skeleton, not the whole picture.