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Archive of Applied Mechanics

, Volume 81, Issue 12, pp 1993–2005 | Cite as

Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading

  • Vladimir Stojanović
  • Predrag KozićEmail author
  • Ratko Pavlović
  • Goran Janevski
Original

Abstract

Free transverse vibration and buckling of a double-beam continuously joined by a Winkler elastic layer under compressive axial loading with the influence of rotary inertia and shear are considered in this paper. The motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli–Fourier method. The boundary value and initial value problems are solved. The natural frequencies and associated amplitude ratios of an elastically connected double-beam complex system and the analytical solution of the critical buckling load are determined. The presented theoretical analysis is illustrated by a numerical example, in which the effect of physical parameters characterizing the vibrating system on the natural frequency, the associated amplitude ratios and the critical buckling load are discussed.

Keywords

Timoshenko beam Winkler elastic layer Boundary conditions Critical buckling force Eigenvalue 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Vladimir Stojanović
    • 1
  • Predrag Kozić
    • 1
    Email author
  • Ratko Pavlović
    • 1
  • Goran Janevski
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of NišNišSerbia

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