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Название:
Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems
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Статті »
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стаття
Язык документа:
англійська
Добавлен в архив:
23.02.2016
Сводная информация по документу:
Mikhlin, Y.V. Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems [Текст] / Mikhlin Y.V., Morgunov B.I. // Статті : - , 2001.
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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. 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.


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