SpringerLink
Log in

Multi-objective optimization design of flexible positioning platform considering its natural frequency and mass

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

In this paper, the ultra-high acceleration macro-micro motion platform flexible positioning platform is taken as the research object. First, the finite element modal analysis is performed using the finite element technique, and the natural frequencies and mode shapes of the flexible positioning platform are obtained. Then, using the response surface optimization design method, the low-order natural frequency of the flexible positioning platform is increased, and its mass is decreased. Finally, the experimental modal analysis of the flexible positioning platform is carried out, and the experimental modal parameters of the flexible positioning platform are calculated. The experimental results are basically consistent with the finite element analysis results, which verify the accuracy of the finite element modal analysis. The research results are of great significance to the development of the ultra-high acceleration macro-micro motion platform.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price includes VAT (Canada)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Zhang, X. Li, J. Fang, Y. Lv and H. Li, Vibration isolation of extended ultra-high acceleration macro-micro motion platform considering floating stator stage, International Journal of Precision Engineering and Manufacturing, 20(8) (2019) 1265–1287.

    Article  Google Scholar 

  2. L. Zhang et al., Multi-objective optimization design of a connection frame in macro-micro motion platform, Applied Soft Computing, 32 (2015) 369–382.

    Article  Google Scholar 

  3. S. Sohn, Feasibility study on the use of wireless accelerometers in the experimental modal testing, The Journal of Supercomputing, 72(7) (2016) 2848–2859.

    Article  Google Scholar 

  4. S. Varahram, P. Jalali, M. H. Sadeghi and S. Lotfan, Experimental study on the effect of excitation type on the output-only modal analysis results, Transactions of Famena, 43(3) (2019) 37–52.

    Article  Google Scholar 

  5. A. Yucel and A. Arpaci, Analytical and experimental vibration analysis of telescopic platforms, Journal of Theoretical and Applied Mechanics, 54(1) (2016) 41–52.

    Article  Google Scholar 

  6. C. O. Azeloglu and S. Ozen, Natural frequency analysis of lattice boom crane theoretically and experimentally, International Journal of Steel Structures, 17(2) (2017) 757–762.

    Article  Google Scholar 

  7. P. Sharma, R. Singh and M. Hussain, On modal analysis of axially functionally graded material beam under hygrothermal effect, Proceedings of the Institution of Mechanical Engineers, Part C. Journal of Mechanical Engineering Science, 234(5) (2020) 1085–1101.

    Article  Google Scholar 

  8. X. Yang, T. Yi and C. Qu, Performance assessment of a high-speed railway bridge through operational modal analysis, Journal of Performance of Constructed Facilities, 35(6) (2021) 1–11.

    Article  Google Scholar 

  9. C. Zhou, W. Ding, L. Gui and Z. Fan, Modal synthesis dynamic modeling and analysis for an automotive drive axle system, Journal of Vibration and Shock, 36(9) (2017) 7–12, 27.

    Google Scholar 

  10. P. X. YI, P. Huang and T. Shi, Numerical analysis and experimental investigation of modal properties for the gearbox in wind turbine, Frontiers of Mechanical Engineering, 11(4) (2016) 1–15.

    Article  Google Scholar 

  11. T. **ang, D. Lan, S. Zhang, W. Li and D. Lin, Experimental modal test of the spiral bevel gear wheel using the PolyMAX method, Journal of Mechanical Science and Technology, 32(1) (2018) 21–28.

    Article  Google Scholar 

  12. H. Chen, C. Lu, Z. Liu, C. Shen and M. Sun, Structural modal analysis and optimization of SUV door based on response surface method, Shock and Vibration, 2020 (2020) 1–11.

    Google Scholar 

  13. J. Zhao, Z. Wang, H. Liu, F. Ning and M. Yu, Modal analysis and structure optimization of permanent magnet synchronous motor, IEEE Access, 8 (2020) 151856–151865.

    Article  Google Scholar 

  14. C. Li, G. Han and C. Duan, Study of influential factors of the vibration modal of the rocket equipment bay and structural improvement based on finite element analysis, International Journal of Aerospace Engineering, 2018 (2018) 1–10.

    Article  Google Scholar 

  15. D. Gong, Z. Wang, G. Liu and J. Zhou, A modal frequency optimization approach for a fully-equipped car body of high-speed trains, Journal of Mechanical Science and Technology, 34(1) (2020) 11–21.

    Article  Google Scholar 

  16. M. Mahboubkhah, S. Pakzad, A. G. Arasi and M. M. Ettefagh, Modal analysis of the vertical moving table of 4-DOF parallel machine tool by FEM and experimental test, Journal of Vibroengineering, 19(7) (2017) 5301–5309.

    Article  Google Scholar 

  17. Y. **e, Y. **a, Z. W. Li and F. Li, Analysis of modal and vibration reduction of an interior permanent magnet synchronous motor, Energies, 12 (8) (2019).

  18. J. Y. Liu and T. Shun, Modal measurement method research of small and light impeller, Journal of Ship Mechanics, 24(5) (2020) 626–634.

    MathSciNet  Google Scholar 

  19. Q. Liu, Y. F. Guo, Y. L. Zhang and M. J. Yong, Research on natural frequency of cantilever beam based on LabVIEW, Electronic Measurement Technology, 32(9) (2009) 85–88.

    Google Scholar 

  20. Y. Yang, Q. L. Zeng and L. R. Wang, Optimization of slider-type hydraulic powered support (SHPS) using FEA and response surface methodology, Tehnički Vjesnik, 27(2) (2020) 497–505.

    Google Scholar 

  21. B. A. Prasath, P. Ganesh and K. S. Sundaram, Optimization of electrohydraulic forming process parameters using the response surface methodology, Materials Testing, 63(6) (2021) 571–580.

    Article  Google Scholar 

  22. E. Gustafsson and N. Strmberg, Shape optimization of castings by using successive response surface methodology, Structural and Multidisciplinary Optimization, 35(1) (2007) 11–28.

    Article  Google Scholar 

  23. L. Zhang, X. Li, H. Zhang, H. Li, H. Li and J. Wu, Structure optimization of connection frames based on frequency sensitivity in macro-micro motion platforms, Nanotechnology and Precision Engineering, 2(1) (2019) 42–47.

    Article  Google Scholar 

  24. E. Reynders, System identification methods for (operational) modal analysis: review and comparison, Archives of Computational Methods in Engineering, 19(1) (2012) 51–124.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

This research was financially supported by China Postdoctoral Science Foundation, the National Natural Science Foundation of China (Grant No. 51705132), the Natural Science Project of Henan Provincial Department of Science and Technology (Grant No. 222102220088) and the Natural Science Project of Henan Provincial Department of Education (Grant No. 21A460006).

Author information

Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou, 450001, P.R. China

    Lufan Zhang, Boshi Jiang & Pengqi Zhang

Authors
  1. Lufan Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Boshi Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Pengqi Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lufan Zhang.

Additional information

Lufan Zhang received the Ph.D. degree in mechanical engineering from **’an Jiaotong University, **’an, Shaanxi, China, in 2015. He is currently an Associate Professor with the School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou, Henan, China. His research interests include design, simulation, kinetic analysis, motion control, and in ultra-precision positioning motion platform.

Boshi Jiang is master student. He is currently studying at the School of Mechanical and Electrical Engineering, Henan University of Technology. His main research directions are fatigue analysis, optimization simulation, and in ultra-precision positioning motion platform.

Pengqi Zhang is master student. He is currently studying at the School of Mechanical and Electrical Engineering, Henan University of Technology. His main research directions are piezoelectric drive, control simulation, and in ultra-precision positioning moltion platform.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, L., Jiang, B. & Zhang, P. Multi-objective optimization design of flexible positioning platform considering its natural frequency and mass. J Mech Sci Technol 37, 95–105 (2023). https://doi.org/10.1007/s12206-022-1210-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-022-1210-7

Keywords

Search

Navigation