Fixed-axis Gear Train Speed Workbench

How to use Fixed-axis Gear Train Speed Workbench

Assign toothed gears to fixed shafts, connect external or internal meshes, then set one shaft RPM. Report exact ratios, direction, disconnected freedom and conflicting cycle equations before interpreting a driven speed.

1. Use the example as the schema; replace its labels and entered model assumptions.
2. Assign toothed gears to fixed shafts, connect external or internal meshes, then set one shaft RPM. Report exact ratios, direction, disconnected freedom and conflicting cycle equations before interpreting a driven speed.
3. Calculate, inspect the complete witnesses and limitations, then copy or download the JSON report.

Good to know

• 1–30 shafts, 1–60 distinct gears and at most 100 distinct meshes. Teeth are whole counts from 1 to 1,000,000. Driver RPM is an exact decimal string from −1,000,000 through 1,000,000 with at most six places.
• Each mesh connects different fixed axes. An internal mesh has unequal tooth counts, treating the larger member as the ring. The model assumes compatible module/profile and ideal rigid contact; it does not verify center distance or tooth geometry.
• A cycle imposing two unequal nonzero speed ratios locks its component at zero. A nonzero driver there is infeasible; a disconnected consistent component has unknown absolute speed. No planetary/carrier motion, torque, losses, power, backlash, construction advice or design certification.
• Local calculation with no upload, input persistence or outside lookup. Model JSON is limited to 30,000 characters and 10,000 values. Decimal quantities are strings with up to six places; count fields use plain JSON integers. Exact fractions are capped at 8,192 bits. The complete JSON output is limited to 1,000,000 characters; approximate numbers preserve their stored values. Unsupported states fail explicitly.