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Energy Consideration on the Role of Damping

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Dynamic Stability of Columns under Nonconservative Forces

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

Abstract

In Sect. 4.3 of the previous chapter, it has been shown that introduction of small internal damping to Beck’s column leads to a considerable reduction in the flutter limit, from \(p_{* } = 20.05\) (for the undamped case) to \(p_{cr} = 10.94\) (for the damped case). This effect is referred to as the destabilizing effect of small damping. This chapter presents an energy-based discussion on the role of internal damping in the dynamics of Beck’s column with damping.

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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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Correspondence to Yoshihiko Sugiyama .

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Sugiyama, Y., Langthjem, M.A., Katayama, K. (2019). Energy Consideration on the Role of Damping. 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_5

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  • DOI: https://doi.org/10.1007/978-3-030-00572-6_5

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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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