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International Applied Mechanics

, Volume 55, Issue 5, pp 575–583 | Cite as

Dynamics of Impulse-Loaded Beam with One-Sided Support Ties

  • V. P. Ol’shanskiiEmail author
  • V. V. Burlaka
  • M. V. Slipchenko
Article
  • 2 Downloads

The pulsed deformation of a beam with hinged ends and discretely elastically supported span is considered. It is assumed that due to separation of the beam from the support, a one-sided constraint (contact) of the beam with the support arises, when the support is compressed but not stretched. The determination of the force of contact interaction between the beam and the compressed support is reduced to numerical solution of the Volterra integral equation using the time-stepping method. Two options of the generalized distribution of the external load along the length of the beam are considered. The conditions are established in which the maximum displacement of the beam over the support in the direction of action of the external force pulse is less than the amplitude of the displacement in the opposite direction after the separation from the support. It is shown that this inequality is observed only for short-time impulsive loads and is inherent in systems with nonsymmetrical elasticity characteristics.

Keywords

beam impulsive load discrete elastic supports one-sided constraints integral equations numerical method 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • V. P. Ol’shanskii
    • 1
    Email author
  • V. V. Burlaka
    • 1
  • M. V. Slipchenko
    • 1
  1. 1.Petro Vasilenko Kharkiv National Technical University of AgricultureKharkivUkraine

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