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An Optimal Design Method for Angular Contact Ball Bearings Based on Particle Swarm Optimization

A technology of angular contact ball bearing and particle swarm algorithm, applied in the direction of calculation, calculation model, instrument, etc., can solve the problem of less research on the optimal design of angular contact ball bearing

Active Publication Date: 2019-01-04
BEIJING UNIV OF TECH
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  • Abstract
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Problems solved by technology

[0005] The above studies have proposed many methods for bearing optimization, but the above studies have less research on the optimal design of angular contact ball bearings

Method used

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  • An Optimal Design Method for Angular Contact Ball Bearings Based on Particle Swarm Optimization
  • An Optimal Design Method for Angular Contact Ball Bearings Based on Particle Swarm Optimization
  • An Optimal Design Method for Angular Contact Ball Bearings Based on Particle Swarm Optimization

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Embodiment Construction

[0082] Such as Figure 1-3 As shown, firstly, determine the model, working conditions and key parameters of the particle swarm algorithm of the angular contact ball bearing.

[0083] In this paper, the 7012C angular contact ball bearing is selected as a calculation example, and its basic parameters, working conditions and key parameters of the particle swarm algorithm are shown in the table below. The working conditions in the table and the key parameters of the particle swarm optimization algorithm are set manually, and are set according to the engineering needs in the optimization design.

[0084]

[0085] Secondly, according to the above theory, the mathematical model of angular contact ball bearing optimization is established, which includes: objective function, design variables and constraints.

[0086] Objective function: F(x)=C.

[0087] The design variables are: the coefficient of curvature radius f of the inner and outer raceway grooves of the bearing i and f o...

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Abstract

The invention discloses an angular contact ball bearing optimum design method based on particle swarm optimization. According to the method, the basic parameters and working condition of a bearing are determined firstly, then an optimum design mathematical model is established with the service life of the angular contact ball bearing as the optimization objective, bearing inner and outer roller way curvature radius coefficients fi and fo, ball number Z, ball diameter dw and bearing pitch circle diameter Dm as design variables, and bearing rigidity requirement, ball contact strength requirement and bearing size requirement as constrain conditions, and finally the optimum solutions of the five design variables of the bearing are obtained by optimizing the angular contact ball bearing based on particle swarm optimization. By applying particle swarm optimization to optimum design of the angular contact ball bearing, the service life of the bearing is prolonged to the maximum on the premise that the rigidity of the bearing is high enough. The method has the advantages of being high in accuracy, high in reliability, high in computing speed and the like and is a practical and effective angular contact ball bearing optimum design method.

Description

technical field [0001] The invention relates to an optimal design method of an angular contact ball bearing based on a particle swarm algorithm, and belongs to the technical field of optimal design of bearings. Background technique [0002] Angular contact ball bearing is a common mechanical product, which can bear radial load and axial load at the same time, and can work at a high speed, so it is widely used in machine tool spindles, high-frequency motors, oil pumps and other electromechanical equipment. With the progress of the times and the development of science and technology, high rigidity and long life have become the development direction of mechanical products. In the bearing design process, due to the lack of optimization methods suitable for angular contact ball bearings, people can only design and check continuously, and finally meet the product design requirements. This method is time-consuming and labor-intensive. Therefore, it is of great significance to inve...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50G06N3/00
Inventor 刘志峰张伯华张涛王冰
Owner BEIJING UNIV OF TECH
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