b14_pinion_2D - Z88AURORA \u00ae EXAMPLE MANUAL EXAMPLE 14 PINION(Plane stress element No 14 with 6 nodes is a registered trademark(Nr 30 2009 064 238 of

b14_pinion_2D - Z88AURORA u00ae EXAMPLE MANUAL EXAMPLE 14...

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Z88A URORA ® E XAMPLE M ANUAL : E XAMPLE 14: P INION (Plane stress element No. 14 with 6 nodes) is a registered trademark (Nr. 30 2009 064 238) of Univ. Prof. Dr.-Ing. Frank Rieg
Example Manual 2 We consider a pinion, which is connected to the shaft by an interference fit. The pres sure of the interference fit is 100 N/mm². The task is to calculate the elastic deflection of the pinion. It is important to know the deflections to make sure that the gearing is work ing. The gearing itself isn’t modeled. Figure 1: Simplified model of pinion This structure was created by Pro/ENGINEER. Using the pre processor of Pro/MECHA NICA boundary conditions, the mesh and the pressure load (p = 100 N/mm²) were add ed. The choice of boundary conditions is very important: the pressure load can be de fined easily, but the support has to secure the static determination without inhibiting the real deflections. The best solution for this problem is the virtual fix point: Figure 2: Visualization of the support by using the principle of the virtual fix point
Example Manual 3 You have to define 4 points of the structure. The points towards 3 o’clock and 9 o’clock are both fixed in y direction, moving in x direction is possible for this points. The points towards 6 o’clock and 12 o’clock are both fixed in x direction, moving in y direction is possible for this points. The result is a virtual fix point in the middle of these 4

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