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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2014 Issue 3(22), Pages 26–29 (Mi irj388)

PHYSICS AND MATHEMATICS

Scenarios of transition from harmonic nonlinear oscillations in chaotic beams Timoshenko type

V. A. Krys'ko, I. V. Papkova, M. V. Zhigalov, O. A. Saltykov, N. A. Shelud'ko

Yuri Gagarin State Technical University of Saratov

Abstract: In this paper we consider a single-layer beam under the influence of the local oscillating loads, taking into account the geometric nonlinearity. Constructed a mathematical model based on hypotheses SPTimoshenko. Transition from harmonic oscillations to chaos scenario occurs Ruelle-Takens-Newhouse.

Keywords: beam of Timoshenko type, transition scenarios in chaos, Fourier analysis.



© Steklov Math. Inst. of RAS, 2024