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Study on the Influence of Stiffness and Damping on the Response of the Projectile

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Abstract

Based on the typical characteristics of the actual projectile structure, a configuration structure reflecting the basic connection characteristics of the simulated charge and shell is constructed. Based on the Hertz contact theory and the concentrated mass method, the collision vibration model of the charge with clearance structure is established. The 4th order Runge-Kutta method is used for the theoretical solution. The response plots, phase diagrams and poincare cross section of the system are analyzed for different stiffness and damping of the charge. The non-linear vibration characteristics of the simulated projectile structure were verified by combining FEM numerical simulations and vibration tests. The results show that the local response amplification of the projectile often occurs during the penetration through the multi-layer target at relatively low loads. The structural vibration may be an important factor. The stiffness and damping have a significant influence on the vibration characteristics. This study has a strong reference value for understanding the problem of early unintended ignition during projectile penetration.

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REFERENCES

  1. N. Wang, PhD Thesis (Nanjing Univ. of Science & Technology, Nanjing, 2017).

  2. Z. T. Zhao. Master’s Thesis (Lanzhou Jiaotong Univ., Lanzhou, 2016.)

  3. J. G. Shi, H. Meng, and J. Mao, “Study of transverse vibration characteristics of rolls with symmetrical gap,” J. Shock Vibr. 37, 110–116 (2018). https://doi.org/10.13465/j.cnki.jvs.2018.10.016

    Article  Google Scholar 

  4. V. N. Pilipchuk, “Impact modes in discrete vibrating systems with rigid barriers,” Int. J. Non-Lin. Mech. 36, 999–1012 (2001). https://doi.org/10.1016/S0020-7462(00)00066-4

    Article  MATH  Google Scholar 

  5. X. X. Lu, Z. Q. Liu, S. H. Huang, etal., “Non-linear vibration characteristics of a vibro-impact system with clearance,” J. Chin. Soc. Power Eng. 32, 388–393 (2012).

    Google Scholar 

  6. X. B. An and S. F. Pan, “Analysis of contact model in multi-body system dynamic simulation,” J. Comput. Simulat. 25, 98–101 (2008).

    Google Scholar 

  7. B. Liu, L. M. Yang, D. J. Li, et al., “The contact-impact force Model of coated revolute joints with clearance and its application,” J. Explos. Shocks Waves 38, 677–682 (2018). https://doi.org/10.27440/d.cnki.gysdu.2019.000876

    Article  Google Scholar 

  8. X. Q. Hao and J. Y. Chen, “Effects of different materials in joints on dynamic characteristics of a mechanism with clearance,” J. Shock Vibr. 31, 19–21 (2012). https://doi.org/10.13465/j.cnki.jvs.2012.12.013

    Article  Google Scholar 

  9. P. Flores and M. H. Lankarani, “Dynamic response of multi-body systems with multiple clearance joints,” J. Computat. Nonlin. Dyn. 7, 1001–1003 (2011). https://doi.org/10.1115/DETC2011-47224

    Article  Google Scholar 

  10. O. Muvengei, J. Kihiu, and B. Ikua, “Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints,” J. Multi-Body Syst. Dyn. 28, 369–393 (2012). https://doi.org/10.1007/S11044-012-9309-8

    Article  MathSciNet  Google Scholar 

  11. S. P. Yang, Master’s Thesis (Lanzhou Jiaotong Univ., Lanzhou, 2012).

  12. D. J. Idar, R. A. Lucht, R. Scammon, et al., PBX 9501 High Explosive Violent Response/Low Amplitude Insult Project: Phase I (Los Alamos National Lab., New Mexico, 1997).

    Book  Google Scholar 

  13. D. Idar, R. Lucht, J. Straight, etal., “Low amplitude insult project: PBX 9501 high explosive violent reaction experiments,” in Proceedings of 11th International Detonation Symposium, August 31 – September 4, 1998 Snowmass, Colorado (Los Alamos National Laboratory, United States, 1998), p. 101. https://doi.org/10.2172/334327

  14. F. Liu, D. J. Jia, X. Li, etal., “The dimensionless approach,” J. Anshun College 10, 78–80 (2008).

    Google Scholar 

  15. Z. Guan and J. F. Lu, Fundamentals of Numerical Analysis, Vol. 3: Runge-Kutta Method (Higher Education Press, Beijing, 2019).

  16. X. H. Fan, C. Y. Yu, K. Y. Wang, etal., “Parallel computation of large-scale random vibration analysis undersingle-point motion-based excitation,” J. Chongqing Univ. Technol. 31, 57–58 (2017). https://doi.org/10.3969/j.issn.1674-8425(z).2017.10.009

    Article  Google Scholar 

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Funding

This study was supported by the National Natural Science Foundation of China (grant no.11872059), the Science Challenge Project (grant no.TZ2018002), and the Defense Industrial Technology Development Program (grant no. C1520110002).

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Authors and Affiliations

  1. Institute of Systems Engineering, China Academy of Engineering Physics, 621900, Mianyang, China

    Jun Liang, Xuanhua Fan, Shifu Xiao, Hongyong Chen & Linzhongyang E

  2. Mianyang Teachers’ College, 621000, Mianyang, China

    Jun Liang

Authors
  1. Jun Liang
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  2. Xuanhua Fan
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  3. Shifu Xiao
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  4. Hongyong Chen
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  5. Linzhongyang E
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Corresponding authors

Correspondence to Jun Liang, Xuanhua Fan, Shifu Xiao, Hongyong Chen or Linzhongyang E.

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Liang, J., Fan, X., Xiao, S. et al. Study on the Influence of Stiffness and Damping on the Response of the Projectile. Mech. Solids 58, 1319–1334 (2023). https://doi.org/10.3103/S0025654423600563

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  • DOI: https://doi.org/10.3103/S0025654423600563

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