PSI - Issue 12

Andrea Mura et al. / Procedia Structural Integrity 12 (2018) 52–57 Mura et Al./ Structural Integrity Procedia 00 (2018) 000 – 000

54

3

Fig. 1. Misaligned spline coupling

2

2

M (M + M y,TOT t 

)

(1)

z,TOT

where M y,TOT and M z,TOT consider the contribution of each i-th engaging tooth pair to the total tilting moment and can be obtained by the following relations: M y,TOT = ∑ | 1 2 F t ∙ m ∙ Z ∙ sin(γ) ∙ cos ( 2π( Z i−1) )| i i == 1Z (2) M z,TOT = ∑ |2 ∙ F t ∙ C r ∙ sin(γ) ∙ sin ( 2π( Z i−1) )| i i == Z1 (3) This model does not take into account tooth stiffness; the tilting moment is obtained just by kinematical working conditions of the misaligned spline coupling, neglecting both tooth deflection and deformation of the contact surfaces. Tilting moment Mt is then balanced by bearings reaction forces.

3. Numerical simulations

Numerical simulations have been performed by means of Romax Designer software. This software is dedicated to transmission design and analysis. The simulated system, represented in Fig. 2, consists of two shafts connected by a spline coupling. The two shafts are supported by two bearings each (SKF 16009). The spline coupling considered for the simulations has 26 teeth; 12.5mm width; 1.27 mm modulus; 30° pressure angle; crowing radius 20  m. The material is 42CrMo4.