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首页> 外文期刊>Mechanical systems and signal processing >Propagation of friction parameter uncertainties in the nonlinear dynamic response of turbine blades with underplatform dampers
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Propagation of friction parameter uncertainties in the nonlinear dynamic response of turbine blades with underplatform dampers

机译：摩擦参数不确定性在涡轮机叶片阻尼器的非线性动力响应中的传播

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摘要

Underplatform dampers are widely used in turbomachinery to mitigate structural vibra-tions by means of friction dissipation at the interfaces. The modelling of such friction dis-sipation is challenging because of the high variability observed in experimental measurements of contact parameters. Although this variability is not commonly accounted for in state-of-the-art numerical solvers, probabilistic approaches can be implemented to include it in dynamics simulations in order to significantly improve the estimation of the damper performance. The aim of this work is to obtain uncertainty bands in the dynamic response of turbine blades equipped with dampers by including the variability observed in interfacial contact parameters. This variability is experimentally quantified from a friction rig and used to generate uncertainty bands by combining a deterministic state-of-the-art numerical solver with stochastic Polynomial Chaos Expansion (PCE) models. The bands thus obtained are validated against experimental data from an underplatform damper test rig. In addition, the PCEs are also employed to perform a variance-based global sensitivity analysis to quantify the influence of contact parameters on the variation in the nonlinear dynamic response via Sobol indices. The analysis highlights that the influence of each con-tact parameter in vibration amplitude strongly varies over the frequency range, and that Sobol indices can be effectively used to analyse uncertainties associated to structures with friction interfaces providing valuable insights into the physics of such complex nonlinear systems.
机译：在涡轮机上广泛用于涡轮机的底板，以通过界面的摩擦耗散来减轻结构振动。由于在接触参数的实验测量中观察到的高可变性，这种摩擦疏松疏水系统的建模是具有挑战性的。尽管在最先进的数值求解器中，这种变异性不常见，但是可以实现概率方法以包括动力学模拟中的概率方法，以便显着改善阻尼器性能的估计。这项工作的目的是通过包括在界面接触参数中观察到的可变性，从配备有阻尼器的动态响应中获得不确定性带。这种可变性从摩擦钻机进行实验量化，并且通过与随机多项式混沌扩展（PCE）模型组合确定的确定性最新的数值求解器来产生不确定性带。由此获得的带验证了来自底板阻尼器试验台的实验数据。此外，还用于执行基于方差的全局敏感性分析，以通过Sobol指标量化接触参数对非线性动态响应变化的影响。分析强调，振动幅度在振动幅度中的影响在频率范围内强烈变化，并且可以有效地使用Sobol索引来分析与摩擦接口的结构相关的不确定性，该摩擦接口为这些复杂的非线性系统的物理提供有价值的见解。

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