Fully coupled forced response analysis of nonlinear turbine blade vibrations in the frequency domain

IF 3.4 2区 工程技术 Q1 ENGINEERING, MECHANICAL Journal of Fluids and Structures Pub Date : 2024-04-15 DOI:10.1016/j.jfluidstructs.2024.104112
Christian Berthold , Johann Gross , Christian Frey , Malte Krack
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Abstract

For the first time, a fully-coupled Harmonic Balance method is developed for the forced response of turbomachinery blades. The method is applied to a state-of-the-art model of a turbine bladed disk with interlocked shrouds subjected to wake-induced loading. The recurrent partial opening and closing of the pre-loaded shroud contact causes a softening effect, leading to turning points in the amplitude–frequency curve near resonance. Therefore, the coupled solver is embedded into a numerical path continuation framework. Two variants are developed: the coupled continuation of the solution path, and the coupled re-iteration of selected solution points. While the re-iteration variant is slightly more costly per solution point, it has the important advantage that it can be run completely in parallel, which substantially reduces the wall clock time. It is shown that wake- and vibration-induced flow fields do not linearly superimpose, leading to a severe under-/overestimation of the resonant vibration level by the influence-coefficient-based state-of-the-art methods (which rely on this linearity assumption).

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频域内非线性涡轮叶片振动的完全耦合强迫响应分析
首次针对涡轮机械叶片的强制响应开发了全耦合谐波平衡方法。该方法被应用于带有联锁护罩的涡轮叶盘的最新模型,该模型受到尾流诱导载荷的影响。预加载护罩接触的反复部分打开和关闭会产生软化效应,导致振幅-频率曲线在共振附近出现转折点。因此,耦合求解器被嵌入到数值路径延续框架中。开发了两种变体:求解路径的耦合延续和选定求解点的耦合再迭代。虽然重新迭代变体每个求解点的成本略高,但它有一个重要优势,即可以完全并行运行,从而大大减少了壁钟时间。研究表明,唤醒流场和振动诱导流场并不是线性叠加的,这导致基于影响系数的最新方法(依赖于这种线性假设)严重低估/高估了共振振动水平。
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来源期刊
Journal of Fluids and Structures
Journal of Fluids and Structures 工程技术-工程:机械
CiteScore
6.90
自引率
8.30%
发文量
173
审稿时长
65 days
期刊介绍: The Journal of Fluids and Structures serves as a focal point and a forum for the exchange of ideas, for the many kinds of specialists and practitioners concerned with fluid–structure interactions and the dynamics of systems related thereto, in any field. One of its aims is to foster the cross–fertilization of ideas, methods and techniques in the various disciplines involved. The journal publishes papers that present original and significant contributions on all aspects of the mechanical interactions between fluids and solids, regardless of scale.
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