Wind-induced lateral-torsional coupled responses of tall buildings with non-coaxial stiffness eccentricity

A dynamic analysis framework of non-coaxial eccentric structures under wind loading was presented here. Firstly, the dynamic equations of a two-storey non-coaxial eccentric structure with 6-DOF were set up. Secondly, the dynamic equations of a multi-storey non-coaxial eccentric structure were obtained via extending those of a two-storey non-coaxial eccentric structure. Thirdly, based on the power spectra of wind forces in along-wind, across-wind, and torsional directions, considering both intermodal coupling of modal response components and statistical correlation between across-wind and torsional wind loading, the analysis methodology for wind-induced lateral-torsional coupled responses of structures with non-coaxial mass eccentricity was developed in frequency domain. Eventually, taking a structure with 15-DOF for example, the effects of non-coaxial stiffness eccentricity on its wind-induced lateral-torsional coupled responses were analyzed numerically through selecting different locations of stiffness eccentricity.