Skip to main content
SpringerLink
Log in

Parametric design strategy of a novel cylindrical negative Poisson’s ratio jounce bumper for ideal uniaxial compression load-displacement curve

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

A cylindrical negative Poisson’s ratio (CNPR) structure based on two-dimensional double-arrow negative Poisson’s ratio (NPR) structure was introduced in this paper. The CNPR structure has excellent stiffness, damping and energy absorption performances, and can be applied as spring, damper and energy absorbing components. In this study, the CNPR structure was used as a jounce bumper in vehicle suspension, and the load-displacement curve of NPR jounce bumper was discussed. Moreover, the influences of structural parameters and materials on the load-displacement curve of NPR jounce bumper were specifically researched. It came to the conclusion that only the numbers of cells and layers impact the hardening displacement of NPR jounce bumper. And all parameters significantly affect the structure stiffness at different displacement periods. On the other hand, the load-displacement curve of NPR jounce bumper should be in an ideal region which is difficult to be achieved applying mathematical optimization method. Therefore, a parametric design strategy of NPR jounce bumper was proposed according to the parametric analysis results. The design strategy had two main steps: design of hardening displacement and design of stiffness. The analysis results proved that the proposed method is reliable and is also meaningful for relevant structure design problem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lakes R. Foam structures with a negative Poisson’s ratio. Science, 1987, 235: 1038–1040

    Article  Google Scholar 

  2. Larsen U D, Signund O, Bouwsta S. Design and fabrication of compliant micromechanisms and structures with negative Poisson’s ratio. J Microelectromech Syst, 1997, 6: 99–106

    Article  Google Scholar 

  3. Liu Y, Ma Z D. Nonlinear analysis and design investigation of a negative Poisson’s ratio material. In: 2007 ASME International Mechanical Engineering Congress and Exposition. Seattle, Washington, 2007

    Google Scholar 

  4. Zhang W, Ma Z, Hu P. Mechanical properties of a cellular vehicle body structure with negative Poisson’s ratio and enhanced strength. J Reinf Plast Compos, 2014, 33: 342–349

    Article  Google Scholar 

  5. Ma Z D, Bian H X, Sun C, et al. Functionally-graded NPR (negative Poisson’s ratio) material for a blast-protective deflector. In: 2010 NDIA Ground Vehicle Systems Engineering and Technology Symposium. Dearborn, 2010

    Google Scholar 

  6. Zhou G, Ma Z D, Li G, et al. Design optimization of a novel NPR crash box based on multi-objective genetic algorithm. Struct Multidisc Optim, 2016, 54: 673–684

    Article  Google Scholar 

  7. Zhou G, Zhao W Z, Ma Z D, et al. Multi-objective robust design optimization of a novel negative Poisson’s ratio bumper system. Sci China Tech Sci, 2017, 60: 1103–1110

    Article  Google Scholar 

  8. Smardzewski J, Kłos R, Fabisiak B. Design of small auxetic springs for furniture. Mater Des, 2013, 51: 723–728

    Article  Google Scholar 

  9. Wang K, Chang Y H, Chen Y W, et al. Designable dual-material auxetic metamaterials using three-dimensional printing. Mater Des, 2015, 67: 159–164

    Article  Google Scholar 

  10. Qi C, Yang S, Wang D, et al. Ballistic resistance of honeycomb sandwich panels under in-plane high-velocity impact. Sci World J, 2013, 2013: 1–20

    Article  Google Scholar 

  11. Zied K, Osman M, Elmahdy T. Enhancement of the in-plane stiffness of the hexagonal re-entrant auxetic honeycomb cores. Phys Status Solidi B, 2015, 252: 2685–2692

    Article  Google Scholar 

  12. Prall D, Lakes R S. Properties of a chiral honeycomb with a Poisson’s ratio of −1. Int J Mech Sci, 1997, 39: 305–314

    Article  MATH  Google Scholar 

  13. Alderson A, Alderson K L, Attard D, et al. Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading. Compos Sci Technol, 2010, 70: 1042–1048

    Article  Google Scholar 

  14. Miller W, Smith C W, Scarpa F, et al. Flatwise buckling optimization of hexachiral and tetrachiral honeycombs. Compos Sci Technol, 2010, 70: 1049–1056

    Article  Google Scholar 

  15. Lorato A, Innocenti P, Scarpa F, et al. The transverse elastic properties of chiral honeycombs. Compos Sci Technol, 2010, 70: 1057–1063

    Article  Google Scholar 

  16. Abramovitch H, Burgard M, Edery-Azulay L, et al. Smart tetrachiral and hexachiral honeycomb: Sensing and impact detection. Compos Sci Technol, 2010, 70: 1072–1079

    Article  Google Scholar 

  17. Grima J N, Gatt R. Perforated sheets exhibiting negative Poisson’s ratios. Adv Eng Mater, 2010, 12: 460–464

    Article  Google Scholar 

  18. Attard D, Grima J N. A three-dimensional rotating rigid units network exhibiting negative Poisson’s ratios. Phys Status Solidi B, 2012, 249: 1330–1338

    Article  Google Scholar 

  19. Attard D, Caruana-Gauci R, Gatt R, et al. Negative linear compressibility from rotating rigid units. Phys Status Solidi B, 2016, 253: 1410–1418

    Article  Google Scholar 

  20. Shufrin I, Pasternak E, Dyskin A V. Planar isotropic structures with negative Poisson’s ratio. Int J Solids Struct, 2012, 49: 2239–2253

    Article  Google Scholar 

  21. Shufrin I, Pasternak E, Dyskin A V. Negative Poisson’s ratio in hollow sphere materials. Int J Solids Struct, 2015, 54: 192–214

    Article  Google Scholar 

  22. Bertoldi K, Reis P M, Willshaw S, et al. Negative Poisson’s ratio behavior induced by an elastic instability. Adv Mater, 2010, 22: 361–366

    Article  Google Scholar 

  23. Hou X, Hu H, Silberschmidt V. A novel concept to develop composite structures with isotropic negative Poisson’s ratio: Effects of random inclusions. Compos Sci Technol, 2012, 72: 1848–1854

    Article  Google Scholar 

  24. Hou X, Hu H, Silberschmidt V. Numerical analysis of composite structure with in-plane isotropic negative Poisson’s ratio: Effects of materials properties and geometry features of inclusions. Compos Part B-Eng, 2014, 58: 152–159

    Article  Google Scholar 

  25. Shan S, Kang S H, Zhao Z, et al. Design of planar isotropic negative Poisson’s ratio structures. Extreme Mech Lett, 2015, 4: 96–102

    Article  Google Scholar 

  26. Elipe J C A, Lantada A D. Comparative study of auxetic geometries by means of computer-aided design and engineering. Smart Mater Struct, 2012, 21: 105004

    Article  Google Scholar 

  27. Xu B, Arias F, Brittain S T, et al. Making negative Poisson’s ratio microstructures by soft lithography. Adv Mater, 1999, 11: 1186–1189

    Article  Google Scholar 

  28. Scarpa F, Smith C W, Ruzzene M, et al. Mechanical properties of auxetic tubular truss-like structures. Phys Status Solidi B, 2008, 245: 584–590

    Article  Google Scholar 

  29. Karnessis N, Burriesci G. Uniaxial and buckling mechanical response of auxetic cellular tubes. Smart Mater Struct, 2013, 22: 84008

    Article  Google Scholar 

  30. Sun Y, Pugno N. Hierarchical fibers with a negative Poisson’s ratio for tougher composites. Materials, 2013, 6: 699–712

    Article  Google Scholar 

  31. Wang Y, Wang L, Ma Z D, et al. Parametric analysis of a cylindrical negative Poisson’s ratio structure. Smart Mater Struct, 2016, 25: 035038

    Article  Google Scholar 

  32. Wang Y, Wang L, Ma Z, et al. A negative Poisson’s ratio suspension jounce bumper. Mater Des, 2016, 103: 90–99

    Article  Google Scholar 

  33. Dickson D G. A primer on jounce bumper design using microcellular polyurethane. SAE Technical Paper. Detroit, 2004

    Google Scholar 

  34. Dickson D G, Schranz S, Wolff M. Microcellular polyurethane jounce bumper design and the effects on durability. SAE Technical Paper. Detroit, 2005

    Google Scholar 

  35. Wang Y, Ma Z, Wang L. A finite element stratification method for a polyurethane jounce bumper. Proc Inst Mech Eng D-J Automob Eng, 2016, 230: 983–992

    Article  Google Scholar 

  36. Kim C, Ro P I, Kim H. Effect of the suspension structure on equivalent suspension parameters. Proc Inst Mech Eng D-J Automob Eng, 1999, 213: 457–470

    Article  Google Scholar 

  37. Wang Y, Wang L, Ma Z, et al. Finite element analysis of a jounce bumper with negative Poisson’s ratio structure. Proc Inst Mech Eng CJ Mech Eng Sci, 2017, 231: 4374–4387

    Article  Google Scholar 

  38. Wang Y, Zhao W, Zhou G, et al. Optimization of an auxetic jounce bumper based on Gaussian process metamodel and series hybrid GASQP algorithm. Struct Multidisc Optim, 2017, 70: doi: 10.1007/s00158-017-1869-z

    Google Scholar 

  39. Zhou G, Duan L B, Zhao W Z, et al. An enhanced hybrid and adaptive meta-model based global optimization algorithm for engineering optimization problems. Sci China Tech Sci, 2016, 59: 1147–1155

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    YuanLong Wang, WanZhong Zhao, Guan Zhou & ChunYan Wang

  2. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Qiang Gao

Authors
  1. YuanLong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. WanZhong Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guan Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. ChunYan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Qiang Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to WanZhong Zhao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Y., Zhao, W., Zhou, G. et al. Parametric design strategy of a novel cylindrical negative Poisson’s ratio jounce bumper for ideal uniaxial compression load-displacement curve. Sci. China Technol. Sci. 61, 1611–1620 (2018). https://doi.org/10.1007/s11431-017-9194-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-017-9194-2

Keywords

Search

Navigation