Statistical Analysis and its Validation of the Change in Structural Dynamic Properties Under Crowd Bouncing Excitation
Abstract
Bouncing is a common human activity that is frequently observed in large-span structures such as sports stadiums and concert halls; this activity can cause vibration serviceability problems that must be considered at the structural design stage. Current design codes suggest methods for predicting structural responses under rhythmic bouncing excitations. However, these methods typically do not consider the interaction effect between the crowd and structure, which is highly significant, particularly for large groups of people. Such an effect can quantitatively be evaluated from the structural dynamic property changes attributable to the crowd. Using the random distribution of human model parameters given in a previous study, we propose an empirical formula to predict the frequency and damping ratio of the coupled system via statistical analysis. The structural dynamic properties are updated. A response spectrum method framework that employs the updated structural dynamic properties is proposed and validated through a series of experiments on crowd bouncing. The results show that the response spectrum method provides a reasonable prediction of the structural responses. Hence, this study provides an effective method for quantitatively considering the interaction effect when calculating structural responses at the design stage.
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