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A global strategy for the stability analysis of friction induced vibration problem with parameter variations

机译:参数变化引起的摩擦振动问题稳定性分析的全局策略

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摘要

This paper presents a numerical strategy to reanalyze the modified frequency stability analysis of friction induced vibration problem. The stability analysis of a mechanical system relies on several coupling steps, namely a non-linear static analysis followed by linear and complex eigenvalue problems. We thus propose a numerical strategy to perform more rapidly multiple complex eigenvalue analyses. This strategy couples three methods namely, Fuzzy Logic Controllers to manage frictional contact problem, homotopy developments and projection techniques to reanalyze the projection matrices and component mode synthesis to calculate the modified eigensolutions. A numerical application is performed to highlight the efficiency of the strategy and a discussion is proposed in terms of precision and computational time.
机译:本文提出了一种数值策略来重新分析摩擦引起的振动问题的改进频率稳定性分析。机械系统的稳定性分析取决于几个耦合步骤,即非线性静态分析,然后是线性和复杂特征值问题。因此,我们提出了一种数值策略,可以更快速地执行多个复杂特征值分析。该策略结合了三种方法,即用于处理摩擦接触问题的模糊逻辑控制器,同伦展开和投影技术以重新分析投影矩阵和分量模式合成以计算修正的本征解。进行数值应用以突出该策略的效率,并就精度和计算时间提出了讨论。

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