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Direct parametric analysis of resonance regimes for nonlinear vibrations of bladed discs

机译:叶片圆盘非线性振动共振状态的直接参数分析

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摘要

A method has been developed to calculate directly resonance frequencies and resonance amplitudes as functions of design parameters or as a function of excitation levels. The method provides, for a first time, this capability for analysis of strongly nonlinear periodic vibrations of bladed discs and other structures with nonlinear interaction at contact interfaces. A criterion for determination of major, sub- and superharmonic resonance peaks has been formulated. Analytical expressions have been derived for accurate evaluation of the criterion and for tracing resonance regimes as function of such contact interface parameters as gap and interference values, friction and contact stiffness coefficients, normal stresses. High accuracy and efficiency of the new method have been demonstrated on numerical examples including large-scale nonlinear bladed disc model and major types of contact interfaces including friction contact interfaces, gaps and cubic nonlinearities.
机译:已经开发出一种方法来直接计算共振频率和共振振幅,该共振频率和共振振幅是设计参数的函数或激发水平的函数。该方法首次提供了这种能力,用于分析叶片盘和其他结构在接触界面处具有非线性相互作用的强烈非线性周期性振动。已经制定了确定主要,次谐波和超谐波共振峰的标准。已经获得了用于精确评估该标准并用于追踪共振状态的解析表达式,这些共振状态是诸如间隙和干涉值,摩擦和接触刚度系数,法向应力等接触界面参数的函数。在包括大型非线性叶片盘模型和主要类型的接触界面(包括摩擦接触界面,间隙和立方非线性)在内的数值示例中,已经证明了该新方法的高精度和高效率。

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