Seismic responses of high‐rise structure under multiple‐component ground motions

In this paper, we studied the responses of high‐rise structures under the multiple‐component ground motions, such as horizontal; coupled horizontal and rocking; and coupled horizontal, vertical, and rocking ground motion. First, the principle and process of obtaining the rotation component by using wavelet analysis are explained, and the rocking ground motion was obtained by wavelet analysis from translational ground motions. The correctness of this method was verified by shaking table tests. Next, the shaking table tests were performed on the scale model of a high‐rise TV tower under the horizontal, multiple ground motions. Under multiple ground motions, the amplitudes of the displacement and the acceleration increased to a certain extent, and the increased range of the acceleration was relatively larger. In addition, the displacement time‐history curve with the rocking ground motion showed an asymmetric offset. Subsequently, the dynamic equation of a high‐rise structure under the multiple ground motions was established, and the additional second‐order effect of the rocking ground motion was also considered. The results of the dynamic equation were well consistent with the shaking table test results, which verified the rationality and the accuracy of the dynamic equation. Besides, the result from the theoretical calculation and test indicated that the additional second‐order effect with the rocking ground motion that led to the ground tilting should not be ignored. In the last part, the elastic–plastic properties of the structure under the horizontal and rocking ground motion in the rare earthquake were analyzed. The displacement of the structure with the rocking ground motion increased significantly at the elastic–plastic stage, and the asymmetry deviation degree of the displacement and restoring force–displacement trend of the structure were more significant, which would impact the dynamic stability of the structure and even increase the possibility of structural collapse.