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Multi-objective optimization of a co-rotating twin-screw gear transmission system based on heuristic search

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Abstract

The positive characteristics observed in terms of compact structural sizes and high torque-transmitting capacities have allowed co-rotating twin-screw (CRTS) gear transmissions to be extensively applied to instances requiring small central distances and large power densities. In this study, a multi-objective optimization model for the quick determination of structural parameters of the CRTS gear transmission system is proposed based on the heuristic search and non-dominant sorting genetic algorithm. Results reveal that the optimized scheme with 17 design variables and 18 constrained parameters can be achieved with this model. The system reduces mass by 7.74 % from the original mass of 199.06 kg, while the safety factor variance of the transmission system decreases by 29.3 %. This method applies to other transmission systems with different structures and thus provides general theoretical support for modern gear transmission optimizations.

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Abbreviations

a :

The lower bounds of the normal module

a 2,3 :

The center distances of the second and third stages

b :

The upper bounds of the normal module

b i :

The tooth width of the three gear stages

c :

The error of the actual installation angle

d :

The center distance of two output shafts

d fi :

Entropy

d s :

The shaft diameter of each working shaft

d a6 :

The third-stage pinion indexing circle diameters

d shaft :

The diameter of the gear shaft where shaft is located

f 1(X):

The weight and of each stage gear

f 2(X):

The safety factor variance of each stage gear

f(Y):

The value of the corresponding two interpolation points

f(α i):

The value of the corresponding two interpolation points

g(Z):

Function reflecting the relationship between constraints and related parameters

i 2 :

The limited range of the second stage gear ratio

I i :

The initialization parameter set of monte carlo sampling

m ni :

Normal modules, with i = 1, 2, 3

M :

The set of normal modules with a range of 2~10

M i :

Mass

Oi :

The set of other parameters for analytic solution

S Hi :

The contact safety factor

S Fi :

The bending safety factor

St(X):

A series heuristic search decision function

St i :

The contact safety factor

X i :

The design parameter

X :

The vector of all design parameter

X 2,3 :

The vector of design variables involved in the second-layer and third-layer cycle

ΣX i :

The total shifting coefficient

Z i :

The teeth numbers

Z p :

The teeth numbers range of the pinion

z w :

The teeth number range of the wheel

β i :

The helix angle

φai :

The tooth width coefficient

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Acknowledgments

This work is supported by the National Key R&D Program of China (Grant No. 2020YFB2008200).

Author information

Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400044, China

    Mingzhu Hu, Peitang Wei, Genshen Liu & Huaiju Liu

  2. Changshu Institute of Technology, South third ring Road, Changshu, 215500, Jiangsu, China

    Haixia Wang

  3. Jiangyin Tiancheng Machinery Equipment Co., Ltd., Jangyin, 214400, Jiangsu, China

    Lei Zhang & Zhiqiang He

Authors
  1. Mingzhu Hu
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  2. Haixia Wang
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Correspondence to Huaiju Liu.

Additional information

Mingzhu Hu has been studying as a master student in the State Key Laboratory Mechanical Transmissions, Chongqing University, China, since 2021. Her research interest includes the failure mechanism, loading capacity, and multi-objective optimization of gear transmission system.

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Hu, M., Wang, H., Wei, P. et al. Multi-objective optimization of a co-rotating twin-screw gear transmission system based on heuristic search. J Mech Sci Technol 37, 5831–5841 (2023). https://doi.org/10.1007/s12206-023-1022-4

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  • DOI: https://doi.org/10.1007/s12206-023-1022-4

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