基于微分求积原理的地震反应谱计算方法

new method calculating seismic response spectrum with high precision and efficiency is presented by applying differential quadrature (DQ) analysis procedure to seismic response of SDOF system. Three acceleration histories of earthquake-induced ground motion with different predominant periods are selected for illustration of seismic response spectrum calculation by this DQ procedure, and the reliability and efficiency of the method are also checked out. In addition, the influences of important parameters including time step length and number of nodes on the calculation result are analyzed. The research indicates that this DQ-based seismic response analysis method for SDOF system in the state space is reasonable and feasible while it is employed for the calculation of seismic response spectrum. The method introduced in this paper can be used for the applied approach of calculation of seismic response spectrum owe to its good accuracy, high efficiency and convenient use.