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Method of Optimal Design of Gear Box Based on Neumann Stochastic Finite Element

An optimization design and gearbox technology, applied in the fields of mechanical optimization design, mechanical design, and modern mechanical design, to achieve significant optimization effects, reduced raw material costs, and reduced gearbox quality

Active Publication Date: 2019-08-20
HUBEI UNIV OF AUTOMOTIVE TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] At present, there is no method for optimal design of gearboxes based on Neumann stochastic finite elements

Method used

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  • Method of Optimal Design of Gear Box Based on Neumann Stochastic Finite Element
  • Method of Optimal Design of Gear Box Based on Neumann Stochastic Finite Element
  • Method of Optimal Design of Gear Box Based on Neumann Stochastic Finite Element

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Embodiment Construction

[0016] Through the following content, the present invention will be described in further detail.

[0017] figure 1 It is a gear box structure that needs to be optimized. There are 12 gears and 4 shafts. The numbers 1-12 represent gears, and the numbers I, II, III, and IV represent shafts.

[0018] Combine figure 1 To describe the present invention in detail, the method for optimally designing gearboxes based on Neumann stochastic finite element includes the following steps:

[0019] (1) Use the 3D modeling software to construct the 3D solid model of the gearbox through the parameters of the original design drawings of the gearbox;

[0020] (2) Import the three-dimensional solid model of the gearbox obtained in step (1) into the finite element software. The mesh used by the gear adopts twenty-node hexahedral elements, and the mesh used by the axis adopts axisymmetric quadrilateral ring elements to generate Finite element model; the penalty function method is used to transform the const...

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Abstract

The invention provides an optimization design method of a gear box based on a Neumann random finite element for performing optimization design on the gear box. The core scheme is as follows: establishing an optimization mathematical model, wherein a target function is a mass sum of a gear and a shaft in the gear box, the Neumann random finite element is required for calculating the constraint conditions of bending fatigue strength of the gear and the constraint conditions of the strength of the shaft, a grid used by the gear adopts a 20-node hexahedral isoparametric unit, and the grid used by the shaft adopts an axial symmetry quadrilateral ring unit; converting a constraint optimization problem into a non-constraint optimization problem by using a penalty function, wherein the non-constraint optimization problem is solved by the Powell method; establishing the optimization mathematical model of the gear box, and writing a computer operation program according to the optimization mathematical model of the gear box. According to the optimization design method provided by the invention, the optimization effect is excellent, the mass of the gear box is reduced, the volume is decreased, the cost of raw materials is lowered, the product quality is improved, and the product is more competitive.

Description

Technical field [0001] The invention relates to a method for optimally designing a gear box based on random finite elements, and belongs to the fields of mechanical design, mechanical optimization design, and modern mechanical design methods. Background technique [0002] Gearboxes are widely used in machine tools, construction machinery, metallurgical machinery, mining machinery, petroleum machinery, agricultural machinery, vehicles and other fields. With the development of computer technology, the traditional mechanical design method has made great progress, and the mechanical optimization design method has been produced. Many mechanical products and parts have been optimized design at home and abroad. Mechanical reliability design treats some variables in conventional design, such as load, material strength, geometric dimensions of parts, etc., as random variables. The data used for design comes from experiment or practice, and after statistical analysis, it is considered Ch...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 莫文辉
Owner HUBEI UNIV OF AUTOMOTIVE TECH