质量无序配置加筋圆柱壳的振动局域化
Localization of vibration on a framed cylindrical shell with mass disorderly configurated
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摘要: 无序非周期结构振动在通频带会产生局域化效应。基于该思想,对质量无序配置加筋圆柱壳开展了振动局域化研究。为定量预报无序配置加筋圆柱壳的局域化因子,将加筋圆柱壳振动等效为耦合振子链的振动,利用耦合振子链的无序局域化因子公式预报质量无序配置加筋圆柱壳的局域化因子。以加筋圆柱壳有限元分析的振动结果为输入,使用结合波数分析的参数辨识技术给出了等效振子固有频率参数和耦合参数。等效无序度参数使用了参考模型辨识的技术。针对两个质量无序配置加筋圆柱壳开展的振动局域化分析结果表明,质量配置无序度参数是影响局域化因子的重要参数,它与质量配置参数相关;当无序质量配置的平均值超过结构重量的15%时,可以观察到较为显著的振动局域化效果。Abstract: It has been observed that vibration energy of disordered aperiodic structures will be confined to the source in the pass bands. Based on the idea,the localization of a framed cylindrical shell with mass disorderly configurated is studied. To predict the localization factor of a framed cylindrical shell with the mass disorderly configurated,the vibration of the cylindrical shell is analogized to that of a coupled oscillator chain system. With the vibration results obtained by finite element method being the input,the resonance frequency parameter and coupling parameter of the equivalent oscillator chain can be acquired by identification technology combined with wave number analysis. The equivalent mass irregularity parameter can be obtained using reference model identification technology. Localization analysis of two mass disorderly configurated models shows that,the mass irregularity parameter,which is closely related to mass configuration parameter,plays an important role in the localization factor and the mass irregularity parameter. Besides,remarkable localization can be observed in the mass disorderly configurated model when the average configuration value is over 15% of the structural mass.