&nbsp;First-passage failure of the non-inelastic vibro-impact system

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (17) : 197-200.

First-passage failure of the non-inelastic vibro-impact system

Xu Ming1, 2 Jin Hua-bin 1,2

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Abstract

The first-passage failure of the inelastic vibro-impact system is studied in this paper, and the conditional reliability function and the conditional probability density function are derived. Different from the traditional impact model, the modified Hertzian contact model is adopted. First, based on the energy dissipation balance technique, the inelastic vibro-impact system is transformed to an equivalent nonlinear system without impact. Second, the averaged Ito differential equation is derived by the stochastic averaging. Third, the governing equation of the conditional reliability function is established and numerically solved under given initial and boundary conditions. Last, the influences of the different system parameters on system reliability and probability density are discussed. The proposed technique is very efficient and accurate for the first passage failure of the vibro-impact system, and the weak excitation intensity and big damping coefficient will enhance the system reliability.

Key words

inelastic vibro-impact system / modified Hertzian contact model / stochastic averaging / the conditional reliability function / the conditional probability density

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Xu Ming1, 2 Jin Hua-bin 1,2 . First-passage failure of the non-inelastic vibro-impact system[J]. Journal of Vibration and Shock, 2016, 35(17): 197-200

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