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首页> 外文期刊>Mechanical systems and signal processing >Robust component modal synthesis method adapted to the survey of the dynamic behaviour of structures with localised non-linearities
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Robust component modal synthesis method adapted to the survey of the dynamic behaviour of structures with localised non-linearities

机译：适于局部非线性结构动力特性研究的鲁棒分量模态综合方法

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This paper deals with a method to study closely the stationary solution of non-linear dynamic systems at several degrees of freedom (dof) subjected to harmonic excitations with or without parametric modifications. This solution is obtained basically with the utilisation of an iterative algorithm adapted to the first approximation of Newton-Raphson method. This method is based on the exploitation of the eigensolutions of the associated conservative linear system with or without parametric modifications as well as on the characteristics of localised non-linearities and finally on the exploitation of the equivalent linearisation method. With the application of this method at first on linear models initially condensed by modal synthesis, the predictions of non-linear responses can be obtained rapidly. In a second step, this method is adapted to a condensed linear model used in the first optimisation procedure of the non-linear dynamic behaviour. In fact, before the non-linear analysis, the appropriate choice of the basis of reduction, that is referred to as "robust" obtained from the initial linear system is necessary. This robust basis will be used as condensation basis of the modified model local per tzone or global by substructure leads to a prediction of vibratory responses of complex structures greatly modified and affected by localised non-linearities. At the end of this article, two examples are given to illustrate the efficiency and the performances of the proposed method.
机译：本文提出了一种方法，用于仔细研究非线性动力学系统在具有或不具有参数修改的情况下受到谐波激励的几个自由度（dof）的平稳解。该解决方案基本上是通过利用一种适用于牛顿-拉夫森方法的第一近似的迭代算法来获得的。该方法基于对相关保守线性系统的本征解的利用，带有或不具有参数修改，以及局部非线性的特征，最后基于等效线性化方法的利用。通过首先在通过模态综合压缩的线性模型上应用此方法，可以快速获得非线性响应的预测。在第二步骤中，该方法适用于非线性动态行为的第一优化过程中使用的压缩线性模型。实际上，在进行非线性分析之前，有必要适当选择还原基础，即从初始线性系统获得的“稳健性”。该稳健的基础将用作每个子区域局部或整体通过子结构的修改模型的冷凝基础，从而可以预测复杂的结构的振动响应，这些结构会大大受到修改并受到局部非线性的影响。在本文的结尾，给出了两个例子来说明所提方法的效率和性能。

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