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Parametric Resonances of Columns with Damping

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

Abstract

This chapter discusses the mathematical aspects of parametric resonances of columns with damping, dealing generally with dynamical systems with damping. In addition to the first-order approximation for the resonance boundaries of Mathieu-Hill equations, an approach to the second-order approximation is suggested.

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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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