Journal ArticleDOI
A New Destabilization Phenomenon in Nonconservative Systems
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1971-01-01. It has received 29 citations till now.read more
Citations
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Journal ArticleDOI
Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?
TL;DR: In this article, the authors revisited this undeservedly forgotten pioneering result by Oene Bottema that outstripped later findings for about half a century, and discussed subsequent developments of the perturbation analysis of dissipation-induced instabilities and applications over this period.
Journal ArticleDOI
Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?
TL;DR: The first complete explanation of Ziegler's paradox by means of the Whitney umbrella singularity dates back to 1956 as discussed by the authors, and the perturbation analysis of dissipation-induced instabilities and applications over this period, involving structural stability of matrices, Krein collision, Hamilton-Hopf bifurcation, and related Bifurcations.
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On the destabilizing effect of damping on discrete and continuous circulatory systems
TL;DR: In this paper, a series expansion of the damped eigenvalues around the distinct purely imaginary undamped Eigenvalues is performed, with the load kept as a fixed, although unknown, parameter, so that no surprising discontinuities in the critical load exist between undamped and damped systems.
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Coupled flutter and divergence bifurcation of a double pendulum
R. Scheidl,H. Troger,K. Zeman +2 more
TL;DR: In this paper, the stability of a double pendulum with follower force loading and elastic end support is studied, where the stability problem is a complicated critical case in the sense of Liapunov and requires a non-linear analysis.
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The destabilizing effect of external damping: Singular flutter boundary for the Pflüger column with vanishing external dissipation
TL;DR: In this article, it was shown that external damping is qualitatively the same as the effect of internal damping, yielding a pronounced destabilization paradox, where the critical force for flutter instability decreases by an order of magnitude when the coefficient of internal viscous damping becomes infinitesimally small.
References
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Journal ArticleDOI
Effects of damping on stability of elastic systems subjected to nonconservative forces
V.V. Bolotin,N.I. Zhinzher +1 more
TL;DR: In this paper, a question of the correlation between stability and quasistability regions of elastic and viscoelastic systems subjected to non-conservative forces is discussed, and it is shown that for real laws of damping, a considerable part of the stability region belongs in fact to instability region.
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Some general considerations concerning the destabilizing effect in nonconservative systems
Sia Nemat-Nasser,George Herrmann +1 more
TL;DR: In this paper, a lineares system with Freiheitsgraden untersucht, beansprucht durch eine Gruppe nichtkonservativer Krafte, welche linear von den verallgemeinerten Koordinaten abhangen, werden aufgestellt.
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Über den Einfluß der Dämpfung bei nichtkonservativen Stabilitätsproblemen elastischer Stäbe
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On the energy concepts in the theory of elastic stability
Sia Nemat-Nasser,J. Roorda +1 more
TL;DR: In this paper, the problem of local stability of structural systems subjected to conservative and non-conservative external forces is examined and it is shown that, contrary to the usual assumption and in contrast to the case of conservative loading, if linearized analysis is used for local stability investigation of nonconservative systems, then the existence of simple harmonic vibrations of constant amplitudes does not necessarily imply stability.