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Effects of material anisotropy on impact mitigation in single column woodpile structures

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Abstract

We studied effects of material anisotropy on impact mitigation in single column woodpile structures. Local vibrations and nonlinear contacts of cylindrical members are key mechanisms of wave modulation in woodpile structures. We numerically obtained wave propagations in single column woodpile structures by changing longitudinal and/or transverse stiffness different from stiffness along the stacking direction. We found that changes in longitudinal and/or transverse stiffness altered wave propagation tendency as well as impact mitigation rate. We observed compact and wide waves propagated through single column woodpile structures with small stiffness ratio, while disintegrated but narrow waves with large stiffness ratio. According to dynamic behavior under impact loadings and frequency responses of woodpiles, bending vibration changed from 3rd to 1st mode and low energy band moved to relatively low frequency region when the single column woodpile structures had small stiffness ratio. This leads to increase impact mitigation characteristics of single column woodpile structures.

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References

  1. Z. Y. Liu, X. X. Zhang, Y. W. Mao, Y. Y. Zhu, Z. Y. Yang, C. T. Chan and P. Sheng, Locally resonant sonic materials, Science, 289 (2000) 1734–1736.

    Article  Google Scholar 

  2. M. I. Hussein, G. M. Hulbert and R. A. Scott, Dispersive elastodynamics of 1D banded materials and structures: Design, J. of Sound and Vibration, 307 (2007) 865–893.

    Article  Google Scholar 

  3. N. Boechler, J. Yang, G. Theocharis, P. G. Kevrekidis and C. Daraio, Tunable vibrational band gaps in one–dimensional diatomic granular crystals with three–particle unit cells, J. of Applied Physics, 109 (2011) 074906.

    Article  Google Scholar 

  4. E. Kim and J. Yang, Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps, J. of Mechanics and Physics of Solids, 71 (2014) 33–45.

    Article  Google Scholar 

  5. E. Kim, Y. H. N. Kim and J. Yang, Nonlinear stress wave propagation in 3D woodpile elastic metamaterials, International J. of Solids and Structures, 58 (2015) 128–135.

    Article  Google Scholar 

  6. E. Kim, R. Chaunsali, H. Xu, J. Jaworski, J. Yang, P. G. Kevrekidis and A. F. Vakakis, Nonlinear low–to–highfrequency energy cascades in diatomic granular crystals, Physical Review E, 92 (2015) 1–7.

    Google Scholar 

  7. R. Chaunsali, M. Toles, J. Yang and E. Kim, Extreme control of impulse transmission by cylinder–based nonlinear phononic crystals, J. of Mechanics and Physics of Solids, 107 (2017) 21–32.

    Article  MathSciNet  Google Scholar 

  8. E. Kim, J. Yang, H. Y. Hwang and C. W. Shul, Impact and blast mitigation using locally resonant woodpile metamaterials, International J. of Impact Engineering, 101 (2017) 24–31.

    Article  Google Scholar 

  9. H. Y. Hwang, J. W. Lee, J. Yang, C. W. Shul and E. Kim, Sandwich–structured woodpile metamaterials for impact mitigation, International J. of Applied Mechanics, 10 (2018) 1850078.

    Article  Google Scholar 

  10. Z. Y. Li, B. Y. Gu and B. Z. Yang, Large Absolute band gap in 2D anisotropic photonic crystals, Physical Review Letters, 81 (1998) 2574–2577.

    Article  Google Scholar 

  11. Z. Zhan and P. Wei, Influences of anisotropy on band gaps of 2D phononic crystal, Acta Mechanica Solida Sinica, 23 (2010) 181–188.

    Article  Google Scholar 

  12. Z. Zhan and P. Wei, Band gaps of three–dimensional phononic crystal with anisotropic spheres, Mechanics of Advanced Materials and Structures, 21 (2014) 245–254.

    Article  Google Scholar 

  13. S. C. S. Lin and ·T. J. Huang, Tunable phononic crystals with anisotropic inclusions, Physical Review E, 83 (2011) 174303.

    Article  Google Scholar 

  14. S. Alagoz, Effects of wave propagation anisotropy on the wave focusing by negative refractive sonic crystal flat lenses, Chinese Physics B, 21 (2012) 126202.

    Article  MathSciNet  Google Scholar 

  15. J. C. Hsu, Effects of elastic anisotropy in phononic bandgap plates with two–dimensional lattices, J. of Physics D, 46 (2013) 15301.

    Article  Google Scholar 

  16. Y. F. Wang, A. Maznev and V. Laude, Formation of bragg band gaps in anisotropic phononic crystals analyzed with the empty lattice model, Crystals, 6 (2016) 52.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mechanical Design Engineering, Andong National University, 1375 Gyeongdong-ro, Andong-si, Gyeongsangbuk-do, 36729, Korea

    Hui Yun Hwang & Jung Woo Lee

  2. Division of Mechanical System Engineering, Automotive Hi-Technology Research Center, Chonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju, Jeonbuk, 54896, Korea

    Eunho Kim

  3. Aeronautics and Astronautics, University of Washington, Seattle, 98195-2400, WA, USA

    Jinkyu Yang

  4. P.O.Box 35, Agency for Defense Development, Deajeon, 34186, Korea

    Chang Won Shul

Authors
  1. Hui Yun Hwang
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  2. Jung Woo Lee
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  3. Eunho Kim
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  4. Jinkyu Yang
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  5. Chang Won Shul
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Correspondence to Hui Yun Hwang.

Additional information

Recommended by Associate Editor Kyeongsik Woo

Hui Yun Hwang is a Professor of Department of Mechanical Design Engineering, Andong National University, South Korea. He received his doctorial degree in mechanical engineering from Korea Advanced Institute of Science and Technology.

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Hwang, H.Y., Lee, J.W., Kim, E. et al. Effects of material anisotropy on impact mitigation in single column woodpile structures. J Mech Sci Technol 32, 5817–5822 (2018). https://doi.org/10.1007/s12206-018-1129-1

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  • DOI: https://doi.org/10.1007/s12206-018-1129-1

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