Multivariate damage potential estimation of earthquake ground motions for RC frames based on canonical correlation analysis
Liu Tingting1,2 Yu Xiaohui1,2 Lu Dagang1,2
1. Key Lab of Structure Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China;
2. Key Lab of Smart Prevention and Mitigation of Civil Engineering Disaster of the Ministry of Industry and Information Technology,
Harbin Institute of Technology, Harbin 150090, China
Abstract:A new approach is presented to comprehensively estimate the damage potential of earthquake ground motions based on canonical correlation analysis with consideration of the effects of multiple earthquake intensity parameters and multiple structural damage indices. To illustrate the presented method, a total of 16 reinforced concrete frame structures with different height and seismic fortification levels are used as the study cases. One hundred real ground motion records are selected as the earthquake inputs. Eight earthquake intensity parameters related to the ground motion acceleration, velocity and displacement are linearly combined in the logarithm space as the canonical variable of multiple earthquake intensity measures. The structural damage in terms of maximum interstory drift, global damage index and maximum story acceleration is log-linearly combined as the canonical variable of multiple structural damage indicators. The compound earthquake intensity parameters are then developed through maximumizing the correlation coefficient between the canonical variables of earthquake intensity measures and structural damage indicators, which can well predict the damage potential of earthquake ground motions. The results show that the developed compound earthquake intensity parameter can estimate the damage potential of earthquake ground motions better with much closer correlation to the structural damage than a single earthquake intensity parameter.