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Kinematic and Dynamic Analysis of a Compliant Mechanism to Generate Different Flapping-Wing Paths Based on Vibration Characteristics

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Abstract

Background

In recent decades, the use of compliant mechanisms has been moved from the context of precision engineering to flapping-wing micro aerial vehicles. One of the features of compliant mechanisms in the field of bio-inspired vehicles is the high speed and high frequency of flapping-wing motion that leads to the effect of the dynamic properties of the mechanism.

Purpose

In this paper, the effect of the vibrational properties of a semi-constrained compliant mechanism on the mechanism’s generated path is discussed.

Methods

The kinematic and dynamic governing equations of the mechanism are extracted and the analytical solution for the desired path is obtained with a vibrational approach. To validate the analytical and numerical results, one of the studied cases was constructed by the smart composite manufacturing method. The experimental results were obtained using a high-speed camera and compared with numerical and analytical solutions.

Results

By investigating the results, it was found that by changing the position of the compliant linkage resulting in the frequency variation of the mechanism, flapping-wing paths like peer-shape and 8-type were obtained.

Conclusion

The resulting path error was low and acceptable.

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References

  1. Ling M, Howell LL, Cao J (2020) Kinetostatic and dynamic modeling of flexure-based compliant mechanisms: a survey. Appl Mech Rev. https://doi.org/10.1115/1.4045679

    Article  Google Scholar 

  2. Howell LL, Midha A (1996) A loop-closure theory for the analysis and synthesis of compliant mechanisms. ASME J Mech Des 118(1):121–125

    Article  Google Scholar 

  3. Lau GK, Chin YW, Goh JTW, Wood RJ (2014) Dipteran-insect-inspired thoracic mechanism with nonlinear stiffness to save inertial power of flapping-wing flight. IEEE Trans Robot 30(5):1187–1197. https://doi.org/10.1109/TRO.2014.2333112

    Article  Google Scholar 

  4. Zhao K, Schmiedeler JP (2016) Using rigid-body mechanism topologies to design path generating compliant mechanisms. J Mech Robot. https://doi.org/10.1115/1.4030623

    Article  Google Scholar 

  5. Saxena A (2005) Synthesis of compliant mechanisms for path generation using genetic algorithm. J Mech Des. https://doi.org/10.1115/1.1899178

    Article  Google Scholar 

  6. Tari H, Su HJ (2011) A complex solution framework for the kinetostatic synthesis of a compliant four-bar mechanism. Mech Mach Theory 46:1137–1152

    Article  MATH  Google Scholar 

  7. Lehmann F, Pick S (2007) The aerodynamic benefit of wing–wing interaction depends on stroke trajectory in flapping insect wings. J Exp Biol 210:1362–1377. https://doi.org/10.1242/jeb.02746

    Article  Google Scholar 

  8. Dickinson MH, Farley CT, Full RJ, Koehl MAR, Kram R, Lehman S (2000) How animals move: an integrative view. Science 288(5463):100–106. https://doi.org/10.1126/science.288.5463.100

    Article  Google Scholar 

  9. Lehmann F-O (2008) When wings touch wakes: understanding locomotor force control by wake–wing interference in insect wings. J Exp Biol 211:224–233. https://doi.org/10.1242/jeb.007575

    Article  Google Scholar 

  10. Berg AM, Biewener AA (2010) Wing and body kinematics of takeoff and landing flight in the pigeon (Columba livia). J Exp Biol 213:1651–1658. https://doi.org/10.1242/jeb.038109

    Article  Google Scholar 

  11. McDonald M, Agrawal SK (2010) Desgin of a bio-inspired spherical four-bar mechanism for flapping-wing micro air-vehicle applications. J Mech Robot 2:021012. https://doi.org/10.1115/1.4001460

    Article  Google Scholar 

  12. Jain RK, Majumder S, Dutta A (2012) Multiple path generation by a flexible four-bar mechanism using ionic polymer metal composite. J Intell Mater Syst Struct 23(12):1379–1393. https://doi.org/10.1177/1045389X12447290

    Article  Google Scholar 

  13. Hoover AM, Fearing RS (2008) Fast scale prototyping for folded millirobots. In: IEEE international conference on robotics and automation, Pasadena, CA, USA, May 2008. https://doi.org/10.1109/ROBOT.2008.4543317

  14. Xiao S, Hu K, Huang B, Deng H, Ding X (2021) A review of research on the mechanical design of hoverable flapping wing micro-air vehicles. J Bionic Eng 18:1235–1254. https://doi.org/10.1007/s42235-021-00118-4

    Article  Google Scholar 

  15. Floreano D, Wood RJ (2015) Science, technology and the future of small autonomous drones. Nature 521:460–466

    Article  Google Scholar 

  16. Yue-Qing Yu, Zhou P, Qi-Ping Xu (2019) Kinematic and dynamic analysis of compliant mechanisms considering both lateral and axial deformations of flexural beams. J Mech Eng Sci 233(3):1007–1020. https://doi.org/10.1177/0954406218760956

    Article  Google Scholar 

  17. Sattari Sarebangholi M, Najafi F (2022) Design of a path generating compliant mechanism using a novel rigid-body-replacement method. Meccanica 57:1701–1711. https://doi.org/10.1007/s11012-022-01527-3

    Article  Google Scholar 

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Funding

No funding was received for conducting this study.

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Authors and Affiliations

  1. School of Mechatronic Systems Engineering, Faculty of Applied Science, Simon Fraser University, Burnaby, Canada

    Milad Sattari Sarebangholi & Farshid Najafi

Authors
  1. Milad Sattari Sarebangholi
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  2. Farshid Najafi
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Contributions

This study was conducted by Milad Sattari Sarebangholi under the supervision of Dr. FN. All authors contributed to the study's conception and design. Material preparation, experiment conduction, and analysis were performed by MSS. The first draft of the manuscript was written by MSS and FN reviewed and edited the previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Farshid Najafi.

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Sattari Sarebangholi, M., Najafi, F. Kinematic and Dynamic Analysis of a Compliant Mechanism to Generate Different Flapping-Wing Paths Based on Vibration Characteristics. J. Vib. Eng. Technol. 11, 3907–3915 (2023). https://doi.org/10.1007/s42417-022-00791-7

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  • DOI: https://doi.org/10.1007/s42417-022-00791-7

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