In order to overcome the problems of long analysis time, low accuracy, and high energy consumption in traditional lateral vibration analysis methods of high-rise buildings, a new method of lateral vibration analysis of high-rise buildings based on partial differential equation is proposed. Based on Hamilton’s principle, the partial differential equation of lateral vibration of high-rise buildings is established, and the Galerkin method is used to solve the partial differential equation until the discrete solution is obtained, and then the displacement response of high-rise buildings under different excitation frequencies is obtained. The experimental results show that compared with the traditional method, the proposed method has the advantages of short calculation time, high accuracy, and low energy consumption.

针对高层建筑传统的侧向振动分析方法中分析时间长，精度低，能耗高的问题，提出了一种基于偏微分方程的高层建筑侧向振动分析新方法。基于汉密尔顿原理，建立了高层建筑侧向振动的偏微分方程，并用Galerkin方法求解了偏微分方程，直到获得离散解，然后对高层建筑在位移作用下的位移响应进行了分析。获得了不同的激励频率。实验结果表明，与传统方法相比，该方法具有计算时间短，精度高，能耗低的优点。