compute_bending_stress

SpurGear.compute_bending_stress() → None

It computes the bending_stress applied on the gear teeth by the mating gear.

Notes

The bending stress computation is based on the following assumptions:

• the tooth is stressed by the overall force acting on the tip of the tooth itself,

• the most unfavorable situation is considered in the calculation, as if there is only one pair of teeth in contact within the contact segment,

• the component of the overall force that determines the bending on the tooth is the only one considered and, for simplicity, is taken as having a value equal to the tangential force on the reference diameter,

• the radial component of the overall force that causes a compressive stress on the tooth is neglected.

The bending stress is computed with the following formula:

\[\sigma_b = \frac{F_t}{m \, b \, Y_{LW}}\]

where:

• \(F_t\) is the tangential_force applied on the tooth,

• \(m\) is the gear module,

• \(b\) is the gear tooth face_width,

• \(Y_{LW}\) is the gear lewis_factor.