KINEMATICALLY EXCITED NON-LINEAR VIBRATION OF A BEAM ON ELASTIC SUPPORTS WITH CLEARANCES

Abstract eng:
The paper deals with nonlinear vibration of a beam excited by harmonic movement of frame which the beam is fixed in. Except for supports of the ends of the beam, another supports along axis of the beam are considered. In these supports, there are clearances which cause nonlinear vibration of the system. A mathematical model of the beam is obtained using finite element method and decomposition of such a system is used to obtain a model including kinematical excitation. As an application, nonlinear vibration of a guide thimble in spacer grid of nuclear fuel assembly is shown. To get solution, numerical integration in time domain is used and quality of vibration is shown using orbits and phase trajectories of representative dynamical quantities.

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