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ON THE STABILITY BEHAVIOUR OF ELASTIC BEAMS UNDER INTERNAL PRESSURE
BibTeX
@MISC{Zentner_onthe,
author = {Lena Zentner and Hartmut Witte},
title = {ON THE STABILITY BEHAVIOUR OF ELASTIC BEAMS UNDER INTERNAL PRESSURE},
year = {}
}
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Abstract
Scientific reception of the term ”stability ” stresses steady adaptation to its changing fields of application. Nevertheless, the determination of cri-tical forces remains one of the main tasks of stability theories. We exem-plify some classes of the stability loss in beams under internal pressure for the static case. Additionally, we analyse in more detail the dynamic stability of beams under internal pressure and demonstrate means to keep an equilibrium. Key words: stability, elastic beam, dynamic modelling 1. Static cases of loss of stability Best known examples for the loss of stability under static loads are the Eulerian cases of stability (Leipholz, 1968). For undercritical loads, the equilibrium is determinate, while at critical loads bifurcations in the solutions to state equations occur. Solutions are no more bijective, one load situation may lead to more than one possible geometric configuration of the system. Figure 1 exemplifies this phenomenon in the case of a half-cycle shaped bending beam
Keyphrases
internal pressure static case critical load bifurcation stability best known example load situation main task static load elastic beam possible geometric configuration cri-tical force eulerian case dynamic stability scientific reception stability theory demonstrate mean steady adaptation state equation term stability key word stability loss undercritical load
