Analysis of mode localization in a single-layer spherical reticulated shell
Keywords:
reticulated shell, matrix perturbation, FEM, mistuning, mode localizationAbstract
The occurrence of the mode localization is studied in a structure of a single-layer spherical reticulated shell. The matrix perturbation method is used to analyze the mechanism of the occurrence of mode localization. The dynamical characteristics of this structure, especially the effects of the variation of the stiffness parameter on the vibration modes of the structure, were analyzed by numerical simulations. An amplitude significance coefficient is proposed as a measure of the degree of the mode localization. The results show that small deviations of the stiffness parameter can cause significant changes to the structural dynamics characteristics; the mode localization does occur for some particular modes of this structure in the case of random stiffness mistuning. Preliminary analysis found that the mode can be considered as strongly localized when the amplitude significance coefficient is greater than 8.Downloads
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