Abstract This paper presents an efficient reduction method for predicting the nonlinear transient and steady state squeal events in mechanical systems subjected to friction-induced vibration and noise. This proposed reduction technique is based on the Double Modal Synthesis (DMS) method that involves the use of a classical Craig & Bampton modal reduction on each substructure considering the interface surfaces associated to a condensation at the frictional interface based on complex modes. In this paper, the performances of some reduced bases based on the DMS strategy are investigated in the case of a finite element model of a simplified disc/pads system. The originality of the present work is to propose a comprehensive study on the convergence of the DMS method in order to predict not only the stability or the limit cycles of a simplified brake system but also the transient nonlinear self-excited vibrations, as well as the squeal noise. A special attention is brought to the convergence of the DMS method and more precisely the number of interfaces modes required to provide satisfactory results in regard to various criterion used to characterize the squeal.

中文翻译：

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用于预测瞬态自持振动和尖叫噪声的双模态综合性能

摘要 本文提出了一种有效的减少方法，用于预测受到摩擦引起的振动和噪声的机械系统中的非线性瞬态和稳态尖叫事件。这种提议的归约技术基于双模态综合 (DMS) 方法，该方法涉及在每个子结构上使用经典的 Craig & Bampton 模态归约，同时考虑到与基于复杂模式的摩擦界面处的冷凝相关的界面表面。在本文中，在简化的盘/垫系统的有限元模型的情况下，研究了基于 DMS 策略的一些简化基的性能。本工作的独创性是对 DMS 方法的收敛性进行综合研究，以便不仅预测简化制动系统的稳定性或极限循环，而且预测瞬态非线性自激振动，以及尖叫声。特别注意 DMS 方法的收敛性，更准确地说，对于用于表征尖叫声的各种标准，提供令人满意的结果所需的界面模式数量。