Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers

The traditional mechanical transmission system motion accuracy allocation process has the following problems: the error modeling process can not reflect the error formation mechanism of the system, and the influence of maintenance costs and the motion accuracy robustness of the system are ignored in...

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Main Authors: Zongyi Mu, Jian Li, Xiaogang Zhang, Genbao Zhang, Jinyuan Li, Hao Wei
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Actuators
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Online Access:https://www.mdpi.com/2076-0825/13/12/484
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author Zongyi Mu
Jian Li
Xiaogang Zhang
Genbao Zhang
Jinyuan Li
Hao Wei
author_facet Zongyi Mu
Jian Li
Xiaogang Zhang
Genbao Zhang
Jinyuan Li
Hao Wei
author_sort Zongyi Mu
collection DOAJ
description The traditional mechanical transmission system motion accuracy allocation process has the following problems: the error modeling process can not reflect the error formation mechanism of the system, and the influence of maintenance costs and the motion accuracy robustness of the system are ignored in the process of establishing the optimal allocation model of motion accuracy. In this paper, firstly, meta-action theory is introduced and the meta-action unit is taken as the basic analysis unit, the error modeling of mechanical transmission systems is studied, and the formation mechanism of the motion error is correctly analyzed. Secondly, the comprehensive cost of a mechanical transmission system, considering the part manufacturing cost, assembly cost and maintenance cost per unit, is accurately evaluated using the multi-criteria decision-making (MCDM) method. Thirdly, based on the motion error model, a robust model for system motion accuracy is obtained by analyzing the sensitivity of each motion pair. Then, a multi-objective optimal allocation model of motion accuracy is established. The model is solved by an intelligent algorithm to obtain the Pareto non-dominated solution set, and the optimal solution is selected by the fuzzy set method. Finally, the method described in this paper is illustrated by an engineering example.
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publishDate 2024-11-01
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spelling doaj-art-d4b7db5f300f4e1b94ffdf88f0897e372024-12-27T14:02:01ZengMDPI AGActuators2076-08252024-11-01131248410.3390/act13120484Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy NumbersZongyi Mu0Jian Li1Xiaogang Zhang2Genbao Zhang3Jinyuan Li4Hao Wei5College of Intelligent Manufacturing Engineeringl, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaChongqing Key Laboratory of Manufacturing Equipment Mechanism Design and Control, Chongqing Technology and Business University, Chongqing 400067, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaCollege of Intelligent Manufacturing Engineeringl, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaCollege of Intelligent Manufacturing Engineeringl, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaCollege of Intelligent Manufacturing Engineeringl, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaThe traditional mechanical transmission system motion accuracy allocation process has the following problems: the error modeling process can not reflect the error formation mechanism of the system, and the influence of maintenance costs and the motion accuracy robustness of the system are ignored in the process of establishing the optimal allocation model of motion accuracy. In this paper, firstly, meta-action theory is introduced and the meta-action unit is taken as the basic analysis unit, the error modeling of mechanical transmission systems is studied, and the formation mechanism of the motion error is correctly analyzed. Secondly, the comprehensive cost of a mechanical transmission system, considering the part manufacturing cost, assembly cost and maintenance cost per unit, is accurately evaluated using the multi-criteria decision-making (MCDM) method. Thirdly, based on the motion error model, a robust model for system motion accuracy is obtained by analyzing the sensitivity of each motion pair. Then, a multi-objective optimal allocation model of motion accuracy is established. The model is solved by an intelligent algorithm to obtain the Pareto non-dominated solution set, and the optimal solution is selected by the fuzzy set method. Finally, the method described in this paper is illustrated by an engineering example.https://www.mdpi.com/2076-0825/13/12/484mechanical transmission systemmeta-action theoryinterval intuitionistic trapezoidal fuzzy numbermulti-criteria decision makingmotion accuracy allocation
spellingShingle Zongyi Mu
Jian Li
Xiaogang Zhang
Genbao Zhang
Jinyuan Li
Hao Wei
Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
Actuators
mechanical transmission system
meta-action theory
interval intuitionistic trapezoidal fuzzy number
multi-criteria decision making
motion accuracy allocation
title Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
title_full Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
title_fullStr Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
title_full_unstemmed Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
title_short Motion-Accurate Allocation of a Mechanical Transmission System Based on Meta-Action and Intuitionistic Trapezoidal Fuzzy Numbers
title_sort motion accurate allocation of a mechanical transmission system based on meta action and intuitionistic trapezoidal fuzzy numbers
topic mechanical transmission system
meta-action theory
interval intuitionistic trapezoidal fuzzy number
multi-criteria decision making
motion accuracy allocation
url https://www.mdpi.com/2076-0825/13/12/484
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