On some bifurcation analysis techniques for continuous systems
Banichuk, N., Barsuk, A., Jeronen, J., Neittaanmäki, P., & Tuovinen, T. (2016). On some bifurcation analysis techniques for continuous systems. Rakenteiden mekaniikka, 49(2), 52-68. http://rmseura.tkk.fi/rmlehti/2016/nro2/RakMek_49_2_2016_3.pdf
Julkaistu sarjassa
Rakenteiden mekaniikkaTekijät
Päivämäärä
2016Tekijänoikeudet
© The Authors 2016. This is an open access article distributed under the terms of a CC BY-SA 4.0 license.
This paper is devoted to techniques in bifurcation analysis for continuous mechanical
systems, concentrating on polynomial equations and implicitly given functions. These are
often encountered in problems of mechanics and especially in stability analysis. Taking a classical
approach, we summarize the relevant features of the cubic polynomial equation, and present
some new aspects for asymptotics and parametric representation of the solutions. This is followed
by a brief look into the implicit function theorem as a tool for analyzing bifurcations. As
an example from mechanics, we consider bifurcations in the transverse free vibration problem
of an axially compressed beam.
Julkaisija
Rakenteiden Mekaniikan Seura ryISSN Hae Julkaisufoorumista
0783-6104
Alkuperäislähde
http://rmseura.tkk.fi/rmlehti/2016/nro2/RakMek_49_2_2016_3.pdfJulkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/26378117
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