Computation of Isolated Periodic Solutions for Forced Response Blade-Tip/Casing Contact Problems

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
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Abstract

Abstract This article introduces a numerical procedure dedicated to the identification of isolated branches of solutions for nonlinear mechanical systems. It is here applied to a fan blade subject to rubbing interactions and harmonic forcing. Both contact, which is initiated by means of the harmonic forcing, and dry friction are accounted for. The presented procedure relies on the computation of the system's nonlinear normal modes and their analysis through the application of an energy principle derived from the Melnikov function. The dynamic Lagrangian frequency-time strategy associated with the harmonic balance method (DLFT-HBM) is used to predict the blade's dynamics response as well as to compute the autonomous nonlinear normal modes. The open industrial fan blade NASA rotor 67 is employed in order to avoid confidentiality issues and to promote the reproducibility of the presented results. Previous publications have underlined the complexity of NASA rotor 67's dynamics response as it undergoes structural contacts, thus making it an ideal benchmark blade when searching for isolated solutions. The application of the presented procedure considering a varying amplitude of the harmonic forcing allows to predict isolated branches of solutions featuring nonlinear resonances. With the use of the Melnikov energy principle, nonlinear modal interactions are shown to be responsible for the separation of branches of solutions from the main response curve. In the end, the application of the presented procedure on an industrial blade model with contact interactions demonstrates it is both industry-ready and applicable to highly nonlinear mechanical systems.
叶片-叶尖/机匣接触强迫响应问题孤立周期解的计算
摘要本文介绍了一种用于辨识非线性机械系统解的孤立分支的数值方法。本文将其应用于受摩擦相互作用和谐波力影响的风扇叶片。由调和力引起的接触和干摩擦都考虑在内。所提出的程序依赖于系统非线性正态模态的计算,并通过应用从梅尔尼科夫函数导出的能量原理对其进行分析。采用基于谐波平衡法的动态拉格朗日频时策略(DLFT-HBM)预测叶片的动态响应,并计算叶片的自主非线性正态模态。为了避免保密问题并促进所呈现结果的可重复性,采用了开放式工业风扇叶片NASA旋翼67。先前的出版物强调了NASA旋翼67在经历结构接触时的动力学响应的复杂性,从而使其成为寻找隔离解决方案时的理想基准叶片。应用所提出的程序考虑谐波强迫的变化幅度,可以预测具有非线性共振的解的孤立分支。利用Melnikov能量原理,证明了非线性模态相互作用是导致解分支与主响应曲线分离的原因。最后,将该方法应用于具有接触相互作用的工业叶片模型,表明该方法既适用于工业,也适用于高度非线性的机械系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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