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Transmission

8-speed planetary automatic

A cutaway 8-speed automatic transmission with four helical planetary sets and five shift elements, every tooth an exact involute. It reproduces all nine published gear ratios and runs a 3rd-to-4th shift as a mechanism.

Part documents
34
Mechanisms
10
Joints
649
Ratios reproduced to
6.5e-14

Part DesignSurface DesignAssemblyKinematicsRendering

The cutaway 8-speed planetary automatic transmission rendered photoreal in the Rendering workbench: a bead-blasted aluminium case with bright machined cut faces opens onto ground-steel helical planet gears, bronze thrust washers and copper-coloured clutch packs, on a glossy dark floor under soft studio light.
8-speed planetary automatic, cutaway — path traced

The model

What’s included

Gear train

  • Four helical planetary sets, four planets each — 16 planets
  • 12 external and 4 internal tooth bands at a 20° helix angle
  • Shafts, bearings and thrust washers

Shift elements

  • Two brakes and three clutches with their plate packs and drums

Housing

  • A ribbed, bossed main case with a quarter cut for the cutaway
  • Bell housing and torque converter envelope
  • 22 quarter-section part variants for the presentation assembly

Assemblies & kinematics

  • A kinematic assembly, a cutaway presentation assembly and a copy posed mid-shift
  • One mechanism per gear — nine in all — plus a 3rd-to-4th shift
  • 184 features, each checked against a volume predicted in advance
  • A 541-pair clearance audit and a clash sweep over the shift

How it was made

The techniques that stand out

Built headlessly by an LLM driving VulkanForge’s MCP server — no UI involved. Before modelling anything it searched the possible layouts, proved the obvious in-line one cannot be built, and modelled one that can.

Exact helical involute teeth

Each tooth follows the true involute to within 2.3e-5 mm and is swept along an exact helix. Tooth-band volumes match the closed-form value to 3.2e-9.

Part Design · Rib along a Helix

Ring gears cut from a solid blank

The four internal ring gears are slotted through solid blanks and land within 7e-7 of the formula volume.

Part Design · Rib + Pocket

Planetary sets as true mechanisms

Every mesh is a gear coupling between two joints on the carrier, so the planetary speed relation holds to 1.7e-15 — the gearbox is solved, not animated.

Kinematics · Gear Joint

One mechanism per gear

The nine gear mechanisms differ only in which three shift elements are locked, and every ratio matches its published fraction — first gear is exactly 108/23.

Kinematics · Rigid joints, Commands

A shift you can check

During the 3rd-to-4th shift the clutch that should hold slips −7.6e-10°, and the one taking over −1.6e-9°: the shift logic is verifiably right.

Kinematics · Command, Mechanism Analysis

Clash-free, measured

Zero clashes over the shift, again with all 16 planets at mid-shift; mesh clearances of 0.082–0.089 mm against a designed backlash of 0.0889 mm.

Kinematics · Clash

Path-traced close-up inside the cutaway transmission: helical planet gears in ground steel with bronze thrust washers, stacked friction and steel clutch plates and machined drums, with shallow depth of field.
Helical planetary sets and clutch packs
The transmission posed mid-shift in the Kinematics workbench: the spec tree lists housing, rotating members, planet gears, shift elements and the gear mechanisms, while the rotating drums and planets are shown turned to the shift pose.
Mid-shift in the Kinematics workbench

Simplified on purpose

  • Clutch plates are plain rings; packs, bearings and the converter are static.
  • The torque converter is an outer envelope; pump, valve body, parking pawl and seals are not modelled.
  • The layout is the one the search found, not a manufacturer’s production arrangement.