Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness

Figure 6

The influences of TPOC with the same length but different propagation models on mesh stiffness. and represent the crack propagating with the same length of . represents the crack with the model of a continuous step function, indicating that the crack has instantaneously propagated by several continuous segments of length. represents the crack propagating with the model of a linear function, indicating that the crack has propagated continuously and smoothly. represents the absence of TPOC.

(a) Case  1 ()

(b) Case  2 ()

(c) Case  3 ( and )

(d) Case  4 ( and )