多级叶盘结构随机失谐响应特性分析

廖海涛;王建军;李其汉

振动与冲击 ›› 2011, Vol. 30 ›› Issue (3) : 22-29.

PDF(2783 KB)
PDF(2783 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (3) : 22-29.
论文

多级叶盘结构随机失谐响应特性分析

  • 廖海涛;王建军;李其汉
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Mistuning Forced Response Characteristics Analysis of a Mistuning Multi-Stage Bladed Disks

  • LIAO Haitao;WANG Jianjun;LI Qihan
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摘要


为研究多级叶盘结构最大失谐强迫响应幅值及最坏失谐模式,通过设置失谐变量为优化变量,提出了运用遗传算法和序列二次规划混合方法确定最大的失谐强迫响应幅值及最坏失谐模式的通用方法。针对典型三自由度扇区单级和耦合两级叶盘结构集中参数模型计算了相应谐调系统叶片刚度失谐时的最大失谐幅值放大系数及最坏失谐模式,揭示了失谐跳变-局部化现象,通过算例说明在失谐跳变的叶片位置,叶片出现了强烈的振动响应局部化,构建了与振动响应局部化直接关联的表达因素。运用提出的方法分析了三自由度扇区单级叶盘集中参数模型谐调系统叶片刚度失谐时的敏感度特性,研究表明,随着失谐强度的增加,最大幅值放大系数逐渐增大,并在失谐强度上界处取得极值,并没有所谓的失谐“阈值”现象。


Abstract

The worst mistuning pattern and robust maximum mistuned forced response of a mistuned multi-stage bladed rotor are studied as an optimization problem. This approach is simulated on both a lumped parameter model of a mistuned multi-stage bladed rotor and a three-degree-of-freedom per blade disk model. Results of the optimum search of the worst-case mistuning patterns for the lumped parameter models are analyzed, which reveals that the maximum blade forced response in a mistuned bladed disk is associated with mistuning jump which causing strong localization of the vibration re-sponse in a particular blade. The three-degree-of-freedom per blade disk model is also used for calcu-lation of the maximum forced resonant response of mistuned assemblies and for determination of its sensitivity coefficients with respect to mistuning variation. Studies show that there is not a threshold of mistuning beyond which the maximum forced response levels off, or even drops, as the degree of mistuning is increased further, the tendency of the forced response maximum amplitude magnifica-tion to increase with blade mistuning. The influence of the multi-stage coupling is revealed by com-paring the results of single stage analysis with that of the multi-stage case.

关键词

失谐多级叶盘结构 / 最大幅值放大系数 / 最坏失谐模式 / 失谐跳变-局部化现象

Key words

mistuned multi-stage bladed disk / maximum amplitude magnification / the worst mistuning pattern / mistuning jump-localization phenomenon

引用本文

导出引用
廖海涛;王建军;李其汉. 多级叶盘结构随机失谐响应特性分析[J]. 振动与冲击, 2011, 30(3): 22-29
LIAO Haitao;WANG Jianjun;LI Qihan. Mistuning Forced Response Characteristics Analysis of a Mistuning Multi-Stage Bladed Disks[J]. Journal of Vibration and Shock, 2011, 30(3): 22-29

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