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Columns under Conservative Forces

  • Yoshihiko SugiyamaEmail author
  • Mikael A. Langthjem
  • Kazuo Katayama
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 255)

Abstract

Leonard Euler (1707–1783) was arguably the foremost mathematical scientist of the 18th century. Euler and Daniel Bernoulli established the basic theory of beams and columns. The structural stability of columns under a compressive (conservative) force was first studied by Euler in 1744 [1, 2]. This chapter discusses columns from the viewpoint of dynamic stability.

References

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    Timoshenko, S. P., & Gere J. M. (1961). Theory of elastic stability. New York: McGraw-Hill. (2009, Dover Publications, Inc., New York)Google Scholar
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    Pflüger, A. (1964). Stabiliätsprobleme der Elastostatik. Berlin: Springer.CrossRefGoogle Scholar
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    Sugiyama, Y., Fujiwara, N., & Sekiya, T. (1969). Studies on nonconservative problems of instability of columns by means of analog computer. In Proceedings of the 18th Japan National Congress for Applied Mechanics, 1968 (pp. 113–126). Tokyo: The University of Tokyo Press.Google Scholar
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    Pippard, A. B. (1985). Response and stability. Cambridge: Cambridge University Press.zbMATHGoogle Scholar
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    Sugiyama, Y., Ashida, K., & Kawagoe, H. (1978). Buckling of long columns under their own weight. Bulletin of the Japan Society of Mechanical Engineers, 21(158), 1228–1235.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yoshihiko Sugiyama
    • 1
    Email author
  • Mikael A. Langthjem
    • 2
  • Kazuo Katayama
    • 3
  1. 1.Small Spacecraft Systems Research Center, Osaka Prefecture UniversitySakaiJapan
  2. 2.Department of Mechanical Systems EngineeringYamagata UniversityYonezawaJapan
  3. 3.Daicel CorporationTatsunoJapan

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