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Helical Buckling of Slender Beam Structures Surrounded by an Elastic Medium

Published online by Cambridge University Press:  23 January 2015

S. Harasawa  and
M. Sato
S. Harasawa
Affiliation:
Graduate School of Engineering, Hokkaido University, Sapporo, Japan
M. Sato*
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, Japan
*
*Corresponding author (tayu@eng.hokudai.ac.jp)
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Abstract

The goal of this study was to investigate analytically the buckling phenomena of slender beam structures embedded in an elastic medium. In such cases, there is a possibility that spiral-shaped buckling modes can occur due to the restraining effect of the surrounding medium. As a result of analytical investigations, helical buckling occurs radically. Furthermore the pitch of the helix does not fluctuate as the radius of the helix increases. The interesting mechanical implications of the embedding effect are demonstrated by the theoretical approach established in this study.

Keywords

Helical bucklingHelixStrainElastic medium
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 3 , June 2015 , pp. 241 - 247
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

REFERENCES

1.Brush, D.O., and Almroth, B.O., Buckling of Bars, Plates, and Shells, McGraw-Hill, Inc., Columbus, Ohio (1975).Google Scholar
2.Sato, M., and Patel, M.H., “Exact and Simplified Estimations for Elastic Buckling Pressures of Structural Pipe-in-Pipe Cross-Sections under External Hydrostatic Pressure,” Journal of Marine Science and Technology, 12, pp. 251–262 (2007).Google Scholar
3.Sato, M., Patel, M.H., and Trarieux, F., “Static Displacement and Elastic Buckling Characteristics of Structural Pipe-in-Pipe Cross-Sections,” Structural Engineering & Mechanics, 30, pp. 263–278 (2008).Google Scholar
4.He, X. Q., Kitipornchai, S., and Liew, K M., “Buckling Analysis of Multi-Walled Carbon Nanotubes: A Continuum Model Accounting for Van Der Waals Interaction,” Journal of Mechanics and Physics of Solids, 53, pp. 303–326 (2005).Google Scholar
5.Silverberg, J.L., Noar, R.D., Packer, M.S., Harrison, M.J., Henley, C.L., Cohen, I., and Gerbode, S.J., “3D Imaging and Mechanical Modeling of Helical Buckling in Medicago Truncatula Plant Roots,” Proceedings of the National Academy of Sciences of the United States of America, 109, pp. 16794–16799(2012).Google Scholar
6.Sun, C., and Lukasiewicz, S., “A New Model on the Buckling of a Rod in Tubing,” Journal of Petroleum Science and Engineering, 50, pp. 78–82 (2006).Google Scholar
7.Thompson, J.M.T., Silveira, M., van der Heijden, G.H.M., and Wiercigroch, M., “Helical Post-Buckling of a Rod in a Cylinder: With Applications to Drill-Strings,” Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, 468, pp. 1591–1614 (2012).Google Scholar
8.Valverde, J., and van der Heijden, G.H.M., “Helical Buckling of a Whirling Conducting Rod in a Uniform Magnetic Field,” International Journal of Nonlinear Mechanics, 47, pp. 38–53 (2012).Google Scholar
9.Huang, N.C., and Pattillo, P.D., “Helical Buckling of a Tube in an Inclined Wellbore,” International Journal of Nonlinear Mechanics, 35, pp. 911–923(2000).Google Scholar
10.Foster, D., and Harland, D., “Helical Buckling of Skyrme-Faddeev Solitons,” Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, 468, pp. 3172–3190 (2012).Google Scholar
11.Svensek, D., and Podgornik, R., “Confined Nanorods: Jamming Due to Helical Buckling,” Physics Review E, 77, p. 031808 (2008).CrossRefGoogle ScholarPubMed
12.Tanaka, S., Yamanishi, T., Tsuneishi, K., and Mitsunaga, Y., “Compressive Strain and Low Temperature Characteristics of Nylon Jacketed Fiber,” Journal of the Institute of Electronics, Information and Communication Engineers, 66, pp. 943–950 (1983). (in Japanese)Google Scholar