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Robustness of stochastic expansions for the stability of uncertain nonlinear dynamical systems - Application to brake squeal

机译：不确定非线性动力系统稳定性的随机展开的鲁棒性-在制动尖叫中的应用。

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摘要

This paper is devoted to the prediction and analysis of brake squeal under random uncertainty. This problem, which is a particular application of a wider issue, namely the stability of random parameter-dependent (RPD) nonlinear dynamical systems, is undertaken by using the non-intrusive generalized polynomial chaos (GPC) and Wiener-Haar expansions. The main objective is to assess the capacities of these meta-models within this framework. A reduced nonlinear non-equally damped, iso-damped and non-damped, disc/pad models are considered in this perspective in order to analyze the robustness of the proposed meta-models with respect to perfect and non-perfect mode coalescence. It turns out that the Wiener-Haar meta-model shows a more robust performance than GPC expansion and consequently offers a more reliable tool for the nonlinear stability analysis and thus for the prediction of brake squeal under parameter uncertainty.
机译：本文致力于随机不确定性下制动尖叫的预测和分析。通过使用非侵入式广义多项式混沌（GPC）和Wiener-Haar展开来解决这个问题，这是一个更广泛问题的特殊应用，即随机参数相关（RPD）非线性动力系统的稳定性。主要目标是在此框架内评估这些元模型的能力。在此透视图中考虑了简化的非线性非等阻尼，等阻尼和非阻尼的盘/垫模型，以分析所提出的元模型相对于完美和非完美模式合并的鲁棒性。事实证明，维纳-哈尔（Wiener-Haar）元模型比GPC展开具有更强大的性能，因此为非线性稳定性分析以及参数不确定性下的制动尖叫预测提供了更可靠的工具。

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