1. What is Cycloidal Gear Ratio?

The cycloidal gear ratio describes the speed reduction relationship between the input and output of a cycloidal drive. It's determined by the number of teeth on the cycloidal disc and the number of pins in the housing.

2. How Does the Calculator Work?

The calculator uses the cycloidal gear ratio formula:

Where:

• \( \text{Teeth} \) — Number of teeth on the cycloidal disc (integer)
• \( \text{Pins} \) — Number of pins in the housing (integer)

Explanation: The ratio represents how many turns the input shaft must make for the output shaft to complete one full revolution.

3. Importance of Gear Ratio Calculation

Details: Accurate gear ratio calculation is crucial for designing cycloidal drives with the desired speed reduction and torque multiplication characteristics.

4. Using the Calculator

Tips: Enter the number of teeth and pins as positive integers. The number of teeth must be different from the number of pins for a valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why can't teeth and pins be equal?
A: If teeth and pins are equal, the denominator becomes zero, making the ratio undefined. This configuration wouldn't work in a real cycloidal drive.

Q2: What are typical values for cycloidal gear ratios?
A: Common ratios range from 10:1 to 100:1, though higher ratios are possible with appropriate tooth and pin counts.

Q3: How does this ratio affect torque?
A: The output torque is approximately the input torque multiplied by the gear ratio (minus efficiency losses).

Q4: What's the relationship between teeth and pins?
A: Typically, the number of pins is slightly less than the number of teeth (often teeth = pins + 1 for high reduction ratios).

Q5: Are there limitations to this calculation?
A: This provides the theoretical ratio. Actual performance depends on manufacturing precision, lubrication, and other mechanical factors.