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Jeffcott Rotor Critical Speed & Resonance Amplification Calculator

Easily calculate and compute jeffcott rotor critical speed & resonance amplification calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
2,314 RPM

First Critical Speed (N_cr)

First Critical Speed (N_cr)

2,314 RPM

Shaft Stiffness M N Per M

4.99

Resonance Amplification Factor Q

12.5

Peak Resonant Whirl Radius Um

66.2

Api684 Compliance

POOR DAMPING (Excessive Q-Factor - High Resonance Risk)

2,314 — RPM

Calculation Breakdown

  1. Applied FormulaCalculates the primary flexural critical whirl speed, shaft lateral bending stiffness, resonance amplification factor Q, and peak unbalance orbit response of a classical Jeffcott rotor.\omega_n = \sqrt{\frac{k_{\text{shaft}}}{M}}, \quad k_{\text{shaft}} = \frac{48 E I}{L^3}, \quad Q = \frac{1}{2 \zeta} = \text{Amplification Factor}

Jeffcott Rotor Critical Speed Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.05791.2k1.7k2.3kFirst Critical Speed (N_cr)

What Is the Jeffcott Rotor Critical Speed & Resonance Amplification Calculator?

This tool computes jeffcott rotor critical speed & resonance amplification calculator with high precision arithmetic.

How Does the Jeffcott Rotor Critical Speed & Resonance Amplification Calculator Work?

Calculates the primary flexural critical whirl speed, shaft lateral bending stiffness, resonance amplification factor Q, and peak unbalance orbit response of a classical Jeffcott rotor.

Jeffcott Rotor Critical Speed & Resonance Amplification Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ωn=kshaftM,kshaft=48EIL3,Q=12ζ=Amplification Factor\omega_n = \sqrt{\frac{k_{\text{shaft}}}{M}}, \quad k_{\text{shaft}} = \frac{48 E I}{L^3}, \quad Q = \frac{1}{2 \zeta} = \text{Amplification Factor}

Calculates the primary flexural critical whirl speed, shaft lateral bending stiffness, resonance amplification factor Q, and peak unbalance orbit response of a classical Jeffcott rotor.

How to Use the Jeffcott Rotor Critical Speed & Resonance Amplification Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Jeffcott Rotor Critical Speed & Resonance Amplification Calculator Example

Input Values:

diskMassKg:85
shaftDiameterMm:65
bearingSpanMeters:1.2
dampingRatioZeta:0.04
unbalanceMassGmm:450
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required RPM.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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