Optimal Analysis of High-Rise Building Facade Shape Based on Frequent Earthquake Response

Abstract

Transfer Matrix Method was used to calculate the frequent earthquake responses of high-rise building with different facade shapes. At the premise of constant lateral rigid and same bottom storey mass and supposing that the facade shape variability is simulated by the change of storey mass, the relationship between the maximum value of seismic response and the structure total mass were obtained. Results show that up concave shapes are more optimal than down concaves, pyramid and homogeneous shape as long as the structure deformation being within a reasonable range. If the building height is the most seeking aspect of the design, an up concave shape should be adopted and the building bottom size can be amplified according to the required architecture scale. On the other hand, up concave shapes can’t adapt to a rather wide range of total mass. If the construction field is limited and the architecture scale must meet the requirement, the homogeneous shape should be adopted.