Skip to main content
Log in

The modeling and analysis of vibration response with airdrop vehicle in landing process

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

The airdrop transport of vehicle is an important way to transport people and goods quickly. In order to reduce the damage to the vehicle and the people at the landing instant, it is necessary to model and analyze the airdrop vehicle in landing process. This paper is first time to develop a 10-degree-of-freedom dynamics model for this process by using Kane’s method. By analyzing the partial velocities, partial angular velocities, active forces and inertia forces of the vehicle system with the Cardan angle conversion during the landing process, the Kane multibody dynamics equations of airdrop vehicle are obtained. The results show that the solutions of Kane’s method are consistent with that of the experiment and finite element simulation, simplify the simulation process. The equations derived by Kane’s method can express the acceleration changes of vehicle and people on the seat in the landing process of airdrop vehicle. The excitation from compressions of suspension and wheels is the main reason of vehicle vibration. When the suspension is compressed to reach the limit displacement, the suspension impact on the vehicle body will lead to greater acceleration. It also analyzes the influencing factors about the vibration response and proposes suggestions to reduce the vibration before airdrop.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Wei T, Qu X, Wang L (2011) Hierarchical mission planning for multiple vehicles airdrop operation. Aircr Eng Aerosp Technol 83(5):315–323. https://doi.org/10.1108/00022661111159924

    Article  Google Scholar 

  2. Wang H, Hong H, Hao G, Deng H, Rui Q, Li J (2014) Characteristic verification and parameter optimization of airbags cushion system for airborne vehicle. Chinese J Mech Eng 27(1):50–57. https://doi.org/10.3901/CJME.2014.01.050

    Article  Google Scholar 

  3. Xu B, Chen J (2016) Review of modeling and control during transport airdrop process. Int J Adv Robot Syst 13(6):1–8. https://doi.org/10.1177/1729881416678142

    Article  Google Scholar 

  4. Nguyen CH, Ho CM, Ahn KK (2021) An air spring vibration isolator based on a negative-stiffness structure for vehicle seat. Appl Sci 11(23):11539. https://doi.org/10.3390/app112311539

    Article  Google Scholar 

  5. Kandasamy S, Nicolsen B, Shabana AA, Falcone G (2021) Evaluation of effectiveness of pneumatic suspensions: Application to liquid sloshing problems. J Sound Vib 514:116328. https://doi.org/10.1016/j.jsv.2021.116328

    Article  Google Scholar 

  6. Liu P, Zheng M, Ning D, Zhang N, Du H (2022) Decoupling vibration control of a semi-active electrically interconnected suspension based on mechanical hardware-in-the-loop. Mech Syst Signal Process 166:108455. https://doi.org/10.1016/j.ymssp.2021.108455

    Article  Google Scholar 

  7. Wu T, Qiu W, Kim CW, Chang K, Lu X (2023) Dynamic responses of a vehicle-bridge-soil interaction system subjected to stochastic-type ice loads. Struct Infrastruct Eng 19(9):1263–1282. https://doi.org/10.1080/15732479.2021.2023586

    Article  Google Scholar 

  8. Guo Y, Ren C (2022) Research on vibration reduction of semi-active suspension system of quarter vehicle based on time-delayed feedback control with body acceleration. J Low Freq Noise Vib Act Control 41(2):701–711. https://doi.org/10.1177/14613484211051845

    Article  Google Scholar 

  9. Chen J, Wang P, Xu J, Chen R (2023) Simulation of vehicle-turnout coupled dynamics considering the flexibility of wheelsets and turnouts. Veh Syst Dyn 61(3):739–764. https://doi.org/10.1080/00423114.2021.2014898

    Article  Google Scholar 

  10. Gao J, Qi X (2021) Study of Suspension Parameters Matching to Enhance Vehicle Ride Comfort on Bump Road. Shock Vib 2021:5806444. https://doi.org/10.1155/2021/5806444

    Article  Google Scholar 

  11. Wu K, Ren C, Chen Y (2021) Time-delay vibration reduction control of 3-DOF vehicle model with vehicle seat. Appl Sci 11(20):9426. https://doi.org/10.3390/app11209426

    Article  Google Scholar 

  12. Li X, Nielsen JCO, Torstensson PT (2019) Simulation of wheel–rail impact load and sleeper–ballast contact pressure in railway crossings using a Green’s function approach. J Sound Vib 463:114949. https://doi.org/10.1016/j.jsv.2019.114949

    Article  Google Scholar 

  13. Barbeau R, Weisser T, Dupuis R, Aubry É, Baudu S (2019) Assessment of the impact of sub-components on the dynamic response of a coupled human body/automotive seat system. J Sound Vib 459:114846. https://doi.org/10.1016/j.jsv.2019.07.012

    Article  Google Scholar 

  14. Yin W, Ding J, Qiu Y (2021) Nonlinear Dynamic Modelling of a Suspension Seat for Predicting the Vertical Seat Transmissibility. Math Probl Eng 2021:3026108. https://doi.org/10.1155/2021/3026108

    Article  Google Scholar 

  15. Wu J, Qiu Y (2020) Modelling of seated human body exposed to combined vertical, lateral and roll vibrations. J Sound Vib 485:115509. https://doi.org/10.1016/j.jsv.2020.115509

    Article  Google Scholar 

  16. Liu Y, Pan Z, Ge X (2014) Dynamics of Multibody Systems, 2nd edn. Higher Education Press, Beijing, pp 160–161

    Google Scholar 

  17. Xu S, Chu M, Sun H (2021) Design and stiffness optimization of bionic docking mechanism for space target acquisition. Appl Sci 11(21):10278. https://doi.org/10.3390/app112110278

    Article  Google Scholar 

  18. Li W, Jin D (2018) Flutter suppression and stability analysis for a variable-span wing via morphing technology. J Sound Vib 412:410–423. https://doi.org/10.1016/j.jsv.2017.10.009

    Article  Google Scholar 

  19. Nair WR, Chin SN (2021) Simulation of flexural dynamics of a slender ship undergoing heave and pitch. Acta Mech 232(6):2443–2453. https://doi.org/10.1007/s00707-021-02950-5

    Article  MathSciNet  Google Scholar 

  20. Sarkar S, Fitzgerald B (2021) Use of Kane’s method for multi-body dynamic modelling and control of spar-type floating offshore wind turbines. Energies 14(20):6635. https://doi.org/10.3390/en14206635

    Article  Google Scholar 

  21. Park J, Jeong S, Yoo H (2021) Dynamic modeling of a front-loading type washing machine and model reliability investigation. Machines 9(11):289. https://doi.org/10.3390/machines9110289

    Article  Google Scholar 

  22. Gomez ER, Arteaga IL, Kari L (2021) Normal-force dependant friction in centrifugal pendulum vibration absorbers: Simulation and experimental investigations. J Sound Vib 492:115815. https://doi.org/10.1016/j.jsv.2020.115815

    Article  Google Scholar 

  23. Xu K (2020) Research on airdrop protection technology for a light vehicle. M.S. dissertation, Nanjing University of Science and Technology, Nanjing, pp 7–11 and 15–20. https://doi.org/10.27241/d.cnki.gnjgu.2020.000132

  24. Dai J, Zhou Y, Zhang J, Zhang M, Wang X, Sun X (2021) Effects of different postures on crew damage under the impact of manned airdrop landing. Explosion and Shock Waves 41(1):125–137

    Google Scholar 

Download references

Funding

The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article. This research was supported by the National Natural Science Foundation of China (grant number 52272397, 11672127), the Fundamental Research Funds for the Central Universities (grant number NP2022408), and the National Engineering Laboratory of High Mobility anti-riot vehicle technology (grant number B20210017).

National Natural Science Foundation of China, 52272397, Youqun Zhao, 11672127, Youqun Zhao, Fundamental Research Funds for the Central Universities, NP2022408, Youqun Zhao, and National Engineering Laboratory of High Mobility anti-riot vehicle technology, B20210017, Youqun Zhao

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Youqun Zhao.

Ethics declarations

Conflict of interest

The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Additional information

Technical Editor: Samuel da Silva.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, C., Zhao, Y., Shen, Y. et al. The modeling and analysis of vibration response with airdrop vehicle in landing process. J Braz. Soc. Mech. Sci. Eng. 46, 345 (2024). https://doi.org/10.1007/s40430-024-04913-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-024-04913-y

Keywords

Navigation