Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems
| Autor: | B. I. Morgunov, Yu. V. Mikhlin |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Power series
Van der Pol oscillator Mathematical analysis 02 engineering and technology 01 natural sciences Viscoelasticity Vibration Split-step method Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Normal mode Nonlinear resonance 0103 physical sciences 010301 acoustics Mathematics |
| Zdroj: | Normal Modes and Localization in Nonlinear Systems ISBN: 9789048157150 |
| DOI: | 10.1007/978-94-017-2452-4_2 |
| Popis: | 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 twodegrees-of-freedom nonlinear model of plate vibrations in a gas flow are considered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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