2. Three-support structure, the former middle support is the main support: as shown in the schematic 2
Simplified to the front and middle supports, the spindle end deflection is:
y=Pa 2 (L+a)/(3EJ)-R C a L/(6EJ)+R A (1+a/L)/C 1 +R B (a/L)/C 2
Among them, R A , R B and R C are supporting reaction forces, which can be obtained according to "Engineering Mechanics".
3. Three support structure, take the front and rear support as the main support: as shown in Figure 3
Simplified to the front and rear support, the spindle end deflection is:
y=Pa 2 (L+a)/(3EJ)-R C a (L 2 - 2 )/(6EJL)+R A (1+a/L)/C 1 +R B (a/L)/C 2
Among them, R A , R B and R C are supporting reaction forces, which can be obtained according to "Engineering Mechanics".
Where P---the head end force (bovine);
E---the elastic modulus of the spindle material (bull/mm 2 );
J --- the average moment of inertia of the main shaft section (mm 4 );
C 1 and C 2 --- front and rear bearing stiffness (bull / mm 2 );
a --- The amount of front end of the spindle (mm);
L --- span between main supports (mm);
---Auxiliary support span (mm);
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