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Reliability analysis in a Signorini's mechanical contact problem

机译：Signorini机械接触问题的可靠性分析

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In this paper we propose an original reliability approach of the mechanical contact. The contact problems in mechanics are particularly complex and have to be numerically solved. Several numericla techniques exist to compute these calcularly complex and have to be numerically solved. Several numerical techniques exist to compute these calculations. In our study, we decide to use the penalty method which is widely developed and particularly efficient. However, some deisng parameters are uncertain and the deterministic solutions could be unacceptable. Thus, the mechanical contact study is a privileged subject for a reliability analysis. To evalaute the failure probability of a such problem, the Monte Carlo simulations and the Response Surface Methods are certainly the most efficient mechanical-reliability approaches. In the first part, we present a probabilistic unilateral contact problem. The risks, the failure mode and the limit state function are described and commentated. Then we remind of some mechanical-reliability couplings to solve it. A numerical example validates our approach and shows the interest of the reliability analysis in this mechanical context.
机译：在本文中，我们提出了一种机械接触的原始可靠性方法。力学中的接触问题特别复杂，必须在数值上解决。存在几种用于计算这些复数的数值技术，必须对其进行数值求解。存在几种数值技术来计算这些计算。在我们的研究中，我们决定使用广泛开发且特别有效的惩罚方法。但是，某些确定参数是不确定的，确定性解决方案可能无法接受。因此，机械接触研究是可靠性分析的优先主题。为了评估此类问题的失败概率，蒙特卡洛模拟和响应面方法无疑是最有效的机械可靠性方法。在第一部分中，我们提出了一个概率单边接触问题。描述并注释了风险，故障模式和极限状态功能。然后，我们想起一些机械可靠性联轴器来解决这个问题。数值示例验证了我们的方法，并显示了在这种机械环境下进行可靠性分析的兴趣。

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