Synchronized Load Quantification from Multiple Data Records for Analysing High-rise Buildings

To analyse the reliability and durability of large complex structures such as high-rise buildings, most realistically, it is advisable to utilize site-specific load characteristics. Such load characteristics can be made available as data records, e.g. representing measured wind or earthquake loads. Due to various circumstances such as measurement errors, equipment failures, or sensor limitations, the data records underlie uncertainties. Since these uncertainties affect the results of the simulation of complex structures, they must be mitigated as much as possible. In this work, the Procrustes analysis, finding similarity transformations between two sets of points in n-dimensional space is used and is extended to uncertainties so that data records can be analysed regarding the uncertainty. To find the best matching of two sets of points the Kabsch algorithm is used. In this manner, a basis is created to simulate and assess the reliability of high-rise buildings under load due to wind and earthquakes. Keywords—earthquake simulation, Procrustes analysis, uncertainty quantification, random vibrations, RESET