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Structural design method of rolling ball bearing
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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.
Active Publication Date: 2018-06-29
WUHAN UNIV OF TECH
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Problems solved by technology
This design idea ignores the constraints of bearing assembly and service load on the bearing structure, and it is difficult to obtain the optimal bearing structure
Usually bearing companies conduct repeated assembly and loading experiments to optimize the bearing structure. This method is long-term, time-consuming and labor-intensive, and economically poor.
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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.
[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.
[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 )≤...
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Abstract
The invention provides a structural design method of a rolling ball bearing. The method comprises the steps that an objective function of a rolling bearing design is determined, a rated dynamic load of the bearing is taken as the an objective function, the maximum rated dynamic load under the optimal bearing structure is determined, and according to a bearing structure size boundary condition, a bearing manufacturing and assembly structure size boundary condition, a bearing ring contacting load boundary condition, and a bearing structure optimization design based on the genetic algorithm, geometric structure data based on the comprehensive design of the bearing structure, assembly and service load is obtained. The structural design method of the rolling ball bearing has the advantages thattime consumption is short, the method can be combined with test methods and guide tests, thereby saving the test cost, and has the advantages of high efficiency, low cost, strong practicability and the like based on the numerical analysis method.
Description
technical field [0001] The invention belongs to the technical field of mechanical design and manufacture, and in particular relates to a structural design method of a rolling ball bearing. Background technique [0002] Rolling ball bearing life is usually predicted using a life evaluation equation that considers factors such as load, information conditions, and materials. Usually, the rolling ball bearing calculates the bearing structure according to the load of the design working condition, and checks the bearing capacity and life of the bearing according to the structure, in order to meet the expected load capacity and life of the bearing. This design idea ignores the constraints of bearing assembly and service load on the bearing structure, and it is difficult to obtain the optimal bearing structure. Usually, bearing companies conduct repeated assembly and loading experiments to optimize the bearing structure. This method is long-term, time-consuming and labor-intensive,...
Claims
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