What is vibration displacement?

Vibration displacement is the total distance a vibrating object moves from its rest position. It is typically measured in micrometers (μm) and can be expressed as peak (0-peak, the maximum excursion from center) or peak-to-peak (the full range of motion). Displacement is most useful for evaluating low-frequency vibration below about 10 Hz.

What is the difference between peak and peak-to-peak displacement?

Peak displacement (0-peak) measures the maximum excursion from the center rest position in one direction. Peak-to-peak displacement measures the total range of motion — from the maximum positive to the maximum negative excursion. For sinusoidal vibration, peak-to-peak is exactly twice the peak value. Peak-to-peak is the more commonly specified parameter for displacement measurements.

How do you convert vibration velocity to displacement?

To convert velocity (mm/s RMS) to displacement (μm peak-to-peak), use the formula: d_pp = v_RMS × √2 × 1000 / (π × f), where f is the frequency in Hz. The √2 factor converts RMS to peak, and dividing by (π × f) is the integration from velocity to displacement. The factor 1000 converts mm to μm.

What is the relationship between displacement, velocity, and acceleration?

For sinusoidal vibration, displacement, velocity, and acceleration are mathematically related through frequency. Velocity is the time derivative of displacement (v = 2πf × d), and acceleration is the time derivative of velocity (a = 2πf × v). This means higher frequencies amplify acceleration relative to displacement, which is why displacement measurements are preferred at low frequencies and acceleration at high frequencies.

When should I use displacement instead of velocity for vibration monitoring?

Displacement is most useful for low-frequency vibration monitoring, typically below 10 Hz (600 RPM). At low frequencies, velocity and acceleration values become very small even when displacement is significant. Large slow-speed machines like paper mill rolls, cooling tower fans, and reciprocating compressors often require displacement-based monitoring. Velocity (mm/s RMS) is preferred for general machinery in the 10–1000 Hz range, while acceleration is best above 1000 Hz.

मुक्त अभियांत्रिकी साधन

कंपन विस्थापन कॅल्क्युलेटर

कोणत्याही वारंवारतेवर कंपन वेग (mm/s RMS) विस्थापनात (μm peak-to-peak) आणि त्वरणात (m/s², g) रूपांतरित करा. सर्व कंपन परिमाण मिळवण्यासाठी velocity आणि frequency प्रविष्ट करा.

वेग → विस्थापन Hz / RPM Peak & Peak-to-Peak

Results

विस्थापन (peak-to-peak)

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विस्थापन (0-peak)

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वेग RMS

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वेग शिखर

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त्वरण शिखर

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त्वरण (g)

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वारंवारता

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विस्थापन (peak-to-peak)

विस्थापन (0-peak)

त्वरण (peak)

जिथे:

v_RMS — कंपन वेग RMS (mm/s)
f — वारंवारता (Hz). RPM असल्यास: f = RPM / 60
√2 — RMS ते peak रूपांतरित करते (sinusoidal signals)
g — 9.80665 m/s² (मानक गुरुत्व त्वरण)

टीप: d_p-p = 2 × d_शिखर. 1000 हा गुणक mm चे μm मध्ये रूपांतरण करतो.

व्यावहारिक उदाहरण

उदाहरण — 50 Hz वर मशीन, 3.5 mm/s RMS

वेग peak = 3.5 × √2 = 4.950 mm/s

विस्थापन p-p = 3.5 × √2 × 1000 / (π × 50) = 31.50 μm

विस्थापन 0-peak = 31.50 / 2 = 15.75 μm

त्वरण peak = 3.5 × √2 × 2π × 50 / 1000 = 1.556 m/s²

g मधील त्वरण = 1.556 / 9.80665 = 0.159 g

कंपन परिमाण — द्रुत संदर्भ

परिमाण	चिन्ह	एकक	सर्वोत्तम श्रेणी
विस्थापन	d	μm (mils)	कमी वारंवारता < 10 Hz
वेग	v	mm/s (in/s)	10 – 1000 Hz
त्वरण	a	m/s² (g)	> 1000 Hz

Vibration Displacement Calculator — Velocity to μm | Vibromera

Published by Nikolai Shelkovenko on फेब्रुवारी 15, 2026 मे 25, 2026

Results

विस्थापन (peak-to-peak)

विस्थापन (0-peak)

त्वरण (peak)

व्यावहारिक उदाहरण

कंपन परिमाण — द्रुत संदर्भ

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