Abstract:The wind induced dynamic responses can be analyzed by applying the base bending overturning moment in sway directions and the base torque in the torsional direction measured by the high-frequency force balance (HFFB) technique in wind tunnel. Generally, only the effects of the first mode in each direction (two sway and one torsional directions) can be considered. However, the contribution of the higher order modes cannot be considered. In the present study, a framework for evaluating the generalized force spectra of the higher order modes in the sway and torsional directions is proposed according to the correction method of the generalized force spectra of the ideal mode shape. The data used in the analysis are measured through the HFFB wind tunnel tests. Then, the evaluation of the wind-induced dynamic responses of the aeroealstic model for three typical lattice high rise structures are presented by applying the proposed framework. The calculation results with considering mode shape corrections, higher order mode shape generalized force, and aero-dynamic damping ratios, agree well with those from the wind tunnel tests. This verifies the accuracy of the framework for evaluating the different order mode shape for the generalized force spectra.