振动结构耦合动刚度的间接逆子结构辨识方法

耦合动刚度是复杂耦合结构振动分析中的一个非常关键的参数,其精确辨识对于结构振动特性评估与控制设计非常重要。为将逆子结构动态分析方法推广应用于振动结构耦合动刚度辨识,在建立了耦合动刚度逆子结构分析模型后,提供一种通过频率响应函数反演耦合结构动刚度的方法——间接逆子结构辨识法。最后采用单点和三点耦合二级子结构“质量-胶垫”实验模型,验证了逆子结构辨识方法的理论有效性,包括辨识精度的误差分析.实验与理论分析结果的一致性表明,与现有的直接逆子结构动态分析方法相比,该方法较常规辨识方法具有适用条件范围更宽、辨识精度更高的优点,可以提高工程结构参数的辨识精度,具有更好的工程应用可行性与有效性,为逆子结构动态分析方法辨识振动结构耦合动刚度进一步提供理论依据。 

Indirect inverse substructuring identification method for coupling dynamic stiffness of vibrational structures

Coupling dynamic stiffness is a key parameter in vibrational analysis of complex coupled structures, for both estimation of structural vibrational characteristics and design of vibration control. An indirect method of inverse substructuring analysis to identify the stiffness is studied further by using frequency response functions that are tested oil the models of coupled structures. The theoretical effectiveness of this method is here verified by two 'mass-rubber' experimental models constructed as two-level substructures with mono-coupling and tri-coupling connections, and the identification error is also analyzed. The coincidence of numerical and experimental results show that the indirect method has better feasibility and effectiveness than the existing direct method of inverse substructuring analysis, and with more applicable conditions and higher acceptable precision in determining the stiffness. It provides more solid theoretical basis for the stiffness identification by inverse substructuring analysis.