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Dynamic Stability of Columns under Nonconservative Forces pp 183–197Cite as

Parametric Resonances of Columns

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 255))

Abstract

This chapter aims to give a general overview of the parametric resonances of columns under a harmonically pulsating force . In addition to simple resonance, combination resonances of sum and difference type are introduced, with columns having various kinds of boundary condition, other than pinned-pinned ends . For simplicity, it is assumed that damping is absent. Hsu’s conditions for resonances are introduced to give the first estimate of the principal regions of instability. Experiments with columns having clamped-clamped and clamped-pinned ends are presented, to demonstrate combination resonances of sum type. Combination resonances of difference type are introduced through an analog computer-based experiment of a cantilevered column subjected to a pulsating follower force .

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Author information

Authors and Affiliations

  1. Small Spacecraft Systems Research Center, Osaka Prefecture University, Sakai, Osaka, Japan

    Yoshihiko Sugiyama

  2. Department of Mechanical Systems Engineering, Yamagata University, Yonezawa, Japan

    Mikael A. Langthjem

  3. Daicel Corporation, Tatsuno, Hyogo, Japan

    Kazuo Katayama

Authors
  1. Yoshihiko Sugiyama
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  2. Mikael A. Langthjem
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  3. Kazuo Katayama
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Corresponding author

Correspondence to Yoshihiko Sugiyama .

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Sugiyama, Y., Langthjem, M.A., Katayama, K. (2019). Parametric Resonances of Columns. In: Dynamic Stability of Columns under Nonconservative Forces. Solid Mechanics and Its Applications, vol 255. Springer, Cham. https://doi.org/10.1007/978-3-030-00572-6_14

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  • DOI: https://doi.org/10.1007/978-3-030-00572-6_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00571-9

  • Online ISBN: 978-3-030-00572-6

  • eBook Packages: EngineeringEngineering (R0)

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