Maximal Multivariable Coefficient Analysis between Vibration Limits and Relevant Factors in General Buildings

Abstract

The vibration limit is an essential prerequisite for building vibration serviceability assessment, and various biological/environmental factors affect it deeply. Yet quantitative relationships between vibration limits and these factors in general buildings, such as the human weight, height and number of stories, stay unknown. Based on data collected by an investigation conducted on a cell phone application, this paper proposed a novel approach for quantifying correlations between common relevant factors in general buildings and limits by maximal information coefficient (MIC). Vibration serviceability was thoroughly proved to be a multivariable system and crest factor/BMI had a higher correlation than other factors. A functional relationship and 95% confidence intervals between vibration limits and crest factor/BMI were proposed, respectively. Lilliefors test and normal probability plot show that residuals between fitted values of limits and measured ones follow a normal distribution. Finally, estimation of vibration serviceability based on probability was suggested when the crest factor/BMI and vibration magnitude were known.