|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|5470769||1399022||2018||14 صفحه PDF||سفارش دهید||دانلود کنید|
- Stochastic averaging and first-passage failure of vibro-impact system are investigated.
- The bigger parameters Î¶, sp and k2 can enhance the system reliability.
- The uncorrelated random noises seem more easily destroy the system reliability.
The first-passage failure of linear oscillator with inelastic impact subjected to the additive and multiplicative random noises is investigated. The impact is described by the non-classical inelastic impact model, which is essentially different from the traditional impact model and can provide the whole information of the impact process. First of all, the impact force in the motion equation is replaced by the quasi-linear damping and nonlinear stiffness terms. Then, the stochastic averaging is adopted and the averaged ItÃ´ stochastic deferential equation of the total system energy is derived. Last, by solving the established backward Kolmogorov equation and Pontryagin equation from the averaged ItÃ´ equation numerically, the conditional reliability, the conditional probability density function (PDF) and the mean time of first-passage failure can be obtained. The comparison between the analytical results and those from Monte-Carlo simulation reveals the proposed procedure is effective. The influences of some system parameters are discussed in detail.
Journal: Applied Mathematical Modelling - Volume 54, February 2018, Pages 284-297