Gear Mesh Frequency Calculator

Calculate Gear Mesh Frequency (GMF)



Formula

The formula to calculate the Gear Mesh Frequency (GMF) is:

\[ GMF = R \times N \]

Where:

Definition

Example

Let's say the gear rotation rate (R) is 1500 RPM and the number of teeth on the gear (N) is 20. Using the formula:

\[ GMF = 1500 \times 20 = 30000 \]

So, the Gear Mesh Frequency (GMF) is 30000 CPM.

Extended information about "Gear-Mesh-Frequency-Calculator"

Gear Mesh Frequency

Definition: Gear mesh frequency is the rate at which gear teeth engage and disengage.

Formula: \( GMF = N \times RPM \)

Example: \( GMF = 24 \times 1500 \)

Gear Mesh Frequency of Planetary Gears

Formula: \( GMF = Z_{planetary pinion} \times RPM_{planetary pinion} \)

Example: \( GMF = 20 \times 1200 \)

Calculation of Gear Mesh Stiffness

Formula: \( K_{mesh} = \frac{E \cdot b \cdot \cos^2(\alpha)}{2 \cdot (1 - \nu^2)} \)

Example: \( K_{mesh} = \frac{210 \times 10^9 \cdot 0.02 \cdot \cos^2(20^\circ)}{2 \cdot (1 - 0.3^2)} \)

Fixed Gear Ratio Calculator

Formula: \( \text{Gear Ratio} = \frac{N_{driven}}{N_{driver}} \)

Example: \( \text{Gear Ratio} = \frac{40}{20} \)

How to Calculate Mesh Number

Formula: \( \text{Mesh Number} = \frac{N_{teeth}}{P_{c}} \)

Example: \( \text{Mesh Number} = \frac{30}{3.14} \)