Continuum Mechanics and Thermodynamics

, Volume 9, Issue 3, pp 143–153 | Cite as

On the rotating rod with shear and extensibility

  • Teodor M. Atanackovic
Original Article

Stability of a heavy rotating rod is studied by energy method. The generalized constitutive equations are used so that both extensibility of the rod axis and the influence of the shear stresses are taken into account. It is shown that the total potential energy of the rod is not a minimum when the angular velocity posseses a value higher than the critical value determined from the linearized equilibrium equations. An estimate of the maximal deflection in the post-critical state is also obtained.


Shear Stress Potential Energy Angular Velocity Constitutive Equation Equilibrium Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Teodor M. Atanackovic
    • 1
  1. 1. Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Yugoslavia YU

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