On an approximate criterion for chaotic motion in a model of a buckled beam
Tóm tắt
Periodic and chaotic motions in a mathematical model of a buckled beam are studied by the aid of approximate theory of nonlinear vibration and computer simulation. It is shown that the first approximate harmonic solution of small orbit motion may provide an approximate criterion for chaotic motion to appear. While computer simulation shows a variety of subharmonic motions (period doubling bifurcation) critical system parameters calculated on the assumption of harmonic solution prove to be close to the true boundaries of chaotic zone.
Tài liệu tham khảo
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