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首页> 外文期刊>Journal of the Brazilian Society of Mechanical Sciences and Engineering >Proper orthogonal decomposition for model reduction of a vibroimpact system
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Proper orthogonal decomposition for model reduction of a vibroimpact system

机译：适当的正交分解以减少振动冲击系统的模型

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The application that inspires this work is the percussion drilling. This problem has impacts and presents uncertainties. In this first analysis the focus is on the construction of an efficient reduced-order model to deal with the nonlinear dynamics due to the impacts. It is important to have an efficient reduced-order model to perform the stochastic analysis. The simplified full model is constructed using the finite element method, and three different bases are used to construct the reduced-order models: LIN-basis (composed by the normal modes of the associated linear problems), PODdir-basis (obtained through proper orthogonal decomposition -direct method) and PODsnap-basis (obtained through proper orthogonal decomposition -snapshot method). The shapes of the elements of LIN-basis, PODdir-basis, and PODsnap-basis are compared. One important conclusion is that the information necessary to represent the details of a vibroimpact dynamics, measured by the proper orthogonal values, is more than the usual 99% recommended.
机译：激发这项工作的应用是冲击钻。这个问题会产生影响并带来不确定性。在此第一个分析中，重点是构建有效的降阶模型以处理由于冲击而引起的非线性动力学。重要的是要有一个有效的降阶模型来执行随机分析。使用有限元方法构造简化的完整模型，并使用三个不同的基础来构造降阶模型：LIN基（由相关线性问题的法线模式组成），PODdir基（通过适当的正交关系获得）直接分解法）和PODsnap-basis（通过适当的正交分解-snapshot方法获得）。比较了LIN基础，PODdir基础和PODsnap基础的元素的形状。一个重要的结论是，通过适当的正交值来表示代表振动冲击动力学细节的必要信息要比通常建议的99％多。

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