The Odd Stability of the Euler Beam

  • Gábor Domokos
Part of the International Centre for Mechanical Sciences book series (CISM, volume 436)


In this part of the lecture notes we investigate a classical chapter of elastic stability from a new perspective. We show that even the first buckling mode in Euler’s problem becomes unstable at a second critical load parameter P L = 2.183P Euler and the only stable solution for P > P L is the straight bar in tension. We also show that if we discretize the beam into a sequence of n rigid links coupled by linear torsional springs, the described stability behaviour is only reflected correctly if n is an odd number.


Boundary Value Problem Bifurcation Diagram Initial Value Problem Equilibrium Path Rigid Body Rotation 
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Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • Gábor Domokos
    • 1
  1. 1.Department of Strength of MaterialsBudapest University of Technology and EconomicsBudapestHungary

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