Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems

Autor: Mikhlin, Yuri, MORGUNOV, B. I.
Přispěvatelé: Department of Applied Mathematics, National Technical University 'Kharkiv Polytechnic Institute' (NTUKPI), Department of Mathematical Modelling, Moscow Institute of Electronics and Mathematics
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Nonlinear Dynamics
Nonlinear Dynamics, Springer Verlag, 2001, 25 (1), pp.33-48. ⟨10.1023/A:1012942413955⟩
ISSN: 0924-090X
1573-269X
Popis: International audience; A perturbation methodology and power series are utilized to the analysis of nonlinear normal vibration modes in broad classes of finite-dimensional self-excited nonlinear systems close to conservative systems taking into account similar nonlinear normal modes. The analytical construction is presented for some concrete systems. Namely, two linearly connected Van der Pol oscillators with nonlinear elastic characteristics and a simplest two-degrees-of-freedom nonlinear model of plate vibrations in a gas flow are considered. Periodical quasinormal solutions of integro-differential equations corresponding to viscoelastic mechanical systems are constructed using a convergent iteration process. One assumes that conservative systems appropriate for the dominant elastic interactions admit similar nonlinear normal modes.
Databáze: OpenAIRE
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