Gear Mesh Frequency Calculator

Formula

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

\[ GMF = R \times N \]

Where:

Gear Mesh Frequency (GMF): The frequency at which gear teeth mesh, calculated by multiplying the gear rotation rate by the number of teeth on the gear.
Significance: Used in mechanical engineering to analyze vibrations and ensure proper functioning of gear systems.

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"

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

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

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

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

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

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

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

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

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

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

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