本文首先简单地回顾了多自由度体系的弹性地震反应,然后根据多自由度体系的弹性地震反应公式和摄动理论,采用将扭转耦联低振型近似地表示为非耦联振型线性组合的方法,来求出扭转耦联振型。在此基础上,可以建立计算多层建筑结构考虑扭转耦联振动的弹性地震作用公式。计算比较精确和方便,可在实际工程中应用。 In this paper, we first briefly review the elastic-seismic response of a multi-degree-of-freedom system, and then use the elastic-seismic response formula and perturbation theory of a multi-degree-of-freedom system to represent the torsional coupling low-order vibration mode approximately as a non-coupled mode-type linear combination. The method is to find the torsional coupling mode. Based on this, a formula for calculating the elastic earthquake response of a multi-story building structure considering torsional coupling vibrations can be established. The calculation is more precise and convenient and can be applied in practical projects.