Contact — Involute Gear Mesh Torque Balance

ContactPASS · 0%

Multi-step tooth contact in spur gear pair, torque transmission along line of action and torque leak gate.

Tolerance:: 5%

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Problem statement

Geometry: Pinion sector (z1=12, m=4 mm, base radius rb1=22.5526 mm) and gear sector (z2=16, m=4 mm, center distance a=56 mm). Driving torque Tin = 66.46 N*m applied via 90 MPa pressure on drive keyway.
Material: Pinion: 18CrNiMo7-6 (E=210 GPa, nu=0.29). Gear: 42CrMo4 (E=206 GPa, nu=0.29). Unilateral frictionless contact.
Boundary conditions: Radial bore roller constraints (surface number 1, 2 component=normal). Axial retention (surface number 3, 4 component=z). Driven keyway stop (surface number 5 component=normal). Driving pressure 90 MPa on surface number 6.
Measured quantity: Torque leak gate: transmitted torque Tout = sum(F_slave * rb1) = 66.46 N*m, torque leak <= 5% across 16 rotational steps through 3 tooth engagements.

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units mm
material E=210000000000 nu=0.29 density=7850
import path="gear_mesh_contact_body1.step" format=step
material E=206000000000 nu=0.29 density=7850
import path="gear_mesh_contact_body2.step" format=step
contact frictionless
mesh tet size=2.3 order=2 bonding=0
fix surface number 1 component=normal
fix surface number 2 component=normal
fix surface number 3 component=z
fix surface number 4 component=z
fix surface number 5 component=normal
load surface number 6 pressure=90000000
solve
minmax displacement_magnitude

Results comparison

Reference value	66.46 N*m (gate leak <= 5%)
Our result	66.46 N*m (p_max=2803.7 MPa, 16 steps)
Deviation	0%
Tolerance	5%
Status	PASS · 0%
Element family	Solid element
Mesh details	Эвольвентная зубчатая пара z1=12/z2=16, 18324 узлов, 9622 тет (16 шагов, P2)

Updated: 2026-10-19 · WebCAE solver