Study of Non-Linear Behavior of Vibrating System

Mechanical Engineering

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. In the case of the real structures a linear model will be insufficient to describe the dynamic behavior correctly. It thus appears natural to introduce non-linear models of structures which are able to predict the dynamic behavior of the real structures. This seminar includes study of non-linear vibrations, it different types and various applications. Here the vibratory behavior of an absorber of vibration related to a system subjected to a harmonic load, in the presence of uncertainties on the design parameters is optimised. The total system is modeled by two degrees of freedom (2 dof) with a shock absorber and a generalized non-linear stiffness. one proposes to optimize the vibratory behavior of an absorber of vibration related to a system subjected to a harmonic load, in the presence of uncertainties on the design parameters. The total system is modelled by two degrees of freedom (2 dof) with a shock absorber and a generalized non-linear stiffness. The resolution is carried out in the temporal field according to a traditional diagram. It is a question of seeking the optimal responses envelopes of the deterministic and stochastic case and this for the non-linear displacements, phases and forces.

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