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Nonlinear normal vibration modes and their applications in some applied problems
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стаття
Язык документа:
англійська
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25.02.2016
Сводная информация по документу:
Mikhlin, Y.V. Nonlinear normal vibration modes and their applications in some applied problems [Текст] / Mikhlin Y.V., Mitrokhin S. // Статті : - , 2011.
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Nonlinear normal vibration modes (NNMs) are a generalization of the normal vibrations in the linear systems. In conception of NNMs by KaudererRosenberg all position coordinates can be defined from any one of them. In conception of NNMs by Lyapunov-Shaw-Pierre all phase coordinates can be defined from two selected ones. Curvilinear trajectories of NNMs in a configuration space, or in a phase space, can be obtained as power series. The NNMs theory is used to study vibrations of some linear structure connected with the single-DOF nonlinear absorber. An essentially nonlinear oscillator, a snap-through truss with three equilibrium positions, and a vibro-impact oscillator are chosen as absorbers. Construction and stability analysis of the NNMs are presented. If the localized mode is stable, and the non-localized vibration mode is unstable, the vibration energy is concentrated in the absorber. Free damped oscillations of the double tracked road vehicle with a nonlinear response of the suspension can be considered by the NNMs theory too. The 7DOF nonlinear model is used to analyze the suspension dynamics with smooth characteristics. The quarter-car model is considered for a case of the nonsmooth characteristic of the shock absorber.


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