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杨智春 杨飞. T尾结构振动的模态局部化判据研究[J]. 力学学报, 2010, 42(2): 290-299. DOI: 10.6052/0459-1879-2010-2-2008-588
引用本文: 杨智春 杨飞. T尾结构振动的模态局部化判据研究[J]. 力学学报, 2010, 42(2): 290-299. DOI: 10.6052/0459-1879-2010-2-2008-588
Zhichun Yang. ode localization prediction criterion for T-tail structure[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 290-299. DOI: 10.6052/0459-1879-2010-2-2008-588
Citation: Zhichun Yang. ode localization prediction criterion for T-tail structure[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 290-299. DOI: 10.6052/0459-1879-2010-2-2008-588

T尾结构振动的模态局部化判据研究

ode localization prediction criterion for T-tail structure

  • 摘要: 用峰值振幅比定义局部化度,用平尾刚度与垂尾刚度的比值定义耦合度. 基于T尾结构的质量失调模型,从模态峰值振幅比、失调耦合比、常规摄动和近频摄动4个角度,提出4个不同的局部化判据来预测T尾结构模态局部化的发生. 对一个T尾结构模型局部化振动的数值分析结果表明: (1) T尾结构系统一般具有弱耦合性,小量的失调就可以使T尾结构发生模态局部化; (2) T尾结构一旦发生模态局部化,不但使对称一弯模态和反对称一弯模态的振型发生较大改变,而且其模态频率也将改变,模态频率的改变在失调量的正负区间内具有唯一性; (3) 算例验证了4个模态局部化判据的可行性和有效性,为T尾结构的模态局部化分析和设计提供了依据.

     

    Abstract: Mode localization is often an unexpected dynamicphenomenon in weakly-coupled symmetric structure, and it arises from smallimperfections (less than 5\%) which perturb the symmetry. Suchimperfections typically result from random manufacturing or assemblyimprecision. Mode localization prediction is an important problem in T-Tailstructure design because some drastic localized vibration phenomena occurduring ground vibration test of T-Tail aircraft. Mode localization isdependent not only on mistuning, but also on coupling intensity. In thispaper, we define the degree of mode localization with the peak amplituderatio and the coupling intensity with stiffness ratio of horizontalstabilizer to fin in T-Tail structure. The influence of mass mistuning onmode localization and frequency loci veering of T-Tail structure is studied.Based on the mass mistuning model, four different criterions are proposed topredict the occurrence of mode localization in T-Tail structure from fourview points, which are the peak amplitude ratio, coupling mistuned ratio,ordinary eigenvalue perturbation method and eigenvalue perturbation methodfor nearly equal frequencies, respectively. The numerical simulation resultsfor a T-Tail structure model indicate that mode localization is most likelyto occur in T-Tail structure consisting of weakly coupledsubstructures---horizontal stabilizer and fin. Moreover, when localizationoccurs, the first two bending vibration modes in T-Tail structure are proneto localization, and only one of the two mode frequencies is changed byparameter mistuning to induce frequency loci veering phenomena. The resultsof this study also demonstrate the feasibility and effectiveness of theproposed four predicting criterions of mode localization, and thus provide areference solution to the prediction and design of mode localization of thiskind structure.

     

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