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Dual multi-objective optimization design method for compliant guide mechanism

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Abstract

In this paper, a dual multi-objective optimization design method for compliant mechanism is proposed, and a new compliant guide mechanism is designed by using this method. The method combines the local optimization of multi-objective optimization algorithm and the structural optimization of multi-objective topology analysis, which can carry out the optimization design more systematically and comprehensively. Firstly, we present the specific optimization workflow and construct the mechanism amplification ratio model and pseudo-rigid body model. Secondly, the single design is carried out through using a combination of sensitivity analysis and NSGA-II multi-objective optimization, and meanwhile the EMM + TOPSIS are utilized to ensure the objectivity of the result ordering. On this basis, double design is then conducted and a better comprehensive working performance could be obtained by applying multi-objective topology design. Finally, a prototype is fabricated for experimental testing. The results show that the amplification ratio error between simulation and experiment is just 2.16%, and the operating frequency reaches 1762.9 Hz. The experimental results prove the correctness of the simulation results and show the practical application of the optimization method.

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Abbreviations

PZT:

Piezoelectric actuators

CM:

Compliant mechanism

CMs:

Compliant mechanisms

CGM:

Compliant guide mechanism

BA:

Triangular bridge amplifiers

LA:

Lever amplifiers

SRA:

Scott–Russell amplifiers

NSGA-II:

Non-dominated sorting genetic algorithm-II

EMM:

Entropy weight method

TOPSIS:

Technique for order preference by similarity to an ideal solution

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Acknowledgements

The authors would like to thank the useful comments and constructive suggestions from the handing editor and anonymous reviewers. This research was supported by the National Natural Science Foundation of China (No. 51905087), the Research Funds of National Innovation Center of Advanced Dyeing and Finishing Technology (2022GCJJ11), the fellowship of China Postdoctoral Science Foundation (2022M712835), the Fundamental Research Funds for the Central Universities (2232023G-06), the Research Project of State Key Laboratory of Mechanical System and Vibration (MSV202317).

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Authors and Affiliations

Authors

Contributions

Zhihong Sun:Conceptualization, Writing - review & editing. Chengxin Zheng:Methodology, Investigation, Writing - original draft, Writing - review & editing. Xiaoqing Sun:Writing - review & editing, Supervision, Funding acquisition. Xiusong Hou:Supervision, Investigation. Yikun Yang:Supervision, Investigation.

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Correspondence to Xiaoqing Sun.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Replication of results

This manuscript provides sufficient theoretical derivations and details of the optimization process to enable replication of these results.

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Responsible Editor: Kai James

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Sun, Z., Zheng, C., Sun, X. et al. Dual multi-objective optimization design method for compliant guide mechanism. Struct Multidisc Optim 67, 75 (2024). https://doi.org/10.1007/s00158-024-03793-z

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  • DOI: https://doi.org/10.1007/s00158-024-03793-z

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