Structural design method of rolling ball bearing
A rolling ball bearing and structural design technology, applied in the field of mechanical design and manufacturing, can solve the problems of long cycle, time-consuming and labor-intensive, ignoring constraints, etc.
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Embodiment 1
[0071] For the design of 6209 deep groove rolling ball bearings, the basic structural dimensions of the bearing are: the outer diameter of the bearing outer ring 2: D = 85mm, the inner diameter of the bearing inner ring 1: d = 45mm, and the bearing width: w = 19mm.
[0072] 1) Design variables for matlab programming:
[0073] X=[D b ,D m , Z, f i , f o , K Dmax , K Dmin ,ε,e,β] T =[x 1 , x 2 , x 3 , x 4 , x 5 , x 6 , x 7 , x 8 , x 9 , x 10 ] T
[0074] 2) In the design of bearings, the objective function is determined for the purpose of obtaining the longest life:
[0075]
[0076] in
[0077]
[0078] in α = 0 in 6209 deep groove rolling ball bearings.
[0079] 3) According to the constraints formed by the bearing structure, assembly and service load conditions, the inequalities obtained are as follows:
[0080]
[0081] g 2 (x)=-(2x 1 -x 7 (D-d))≤0
[0082] g 3 (x)=-(x 6 (D-d)-2x 1 )≤0
[0083] g 4 (x)=-(x 2 -(0.5-x 9 )(D+d))≤0
[...
Embodiment 2
[0102] For the design of 7008C angular contact bearings, the basic structural dimensions of the bearings are D=68mm, d=40mm, w=15mm.
[0103] 3) Design variables for matlab programming:
[0104] X=[D b ,D m , Z, f i ,fo,K Dmax , K Dmin ,ε,e,β] T =[x 1 , x 2 , x 3 , x 4 , x 5 , x 6 , x 7 , x 8 , x 9 , x 10 ] T
[0105] 4) In the design of bearings, the objective function is determined for the purpose of obtaining the longest life:
[0106]
[0107] in
[0108]
[0109] in In 6209 deep groove ball bearings, α=15°.
[0110] 3) According to the constraints formed by the bearing structure, assembly and service load conditions, the inequalities obtained are as follows:
[0111]
[0112] g 2 (x)=-(2x 1 -x 7 (D-d))≤0
[0113] g 3 (x)=-(x 6 (D-d)-2x 1 )≤0
[0114] g 4 (x)=-(x 2 -(0.5-x 9 )(D+d))≤0
[0115] g 5 (x)=-((0.5+x 9 )(D+d)-x 2 )≤0
[0116]
[0117] g 7 (x)=-(0.5(D-x 2 -x 1 )-x 9 x 1 )≤0
[0118] g 8 (x)=-(x 10 w-x 1 )≤...
PUM
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