中文摘要：

离散结构动力方程为差分方程，并假设始、末时刻位移已知，将初值问题形式上转化为边值问题，然后利用快速傅立叶变换（FFT）进行求解，从而得到非齐次结构动力方程的一个数值特解。将该数值特解与通过精细积分法求得的齐次方程通解相结合，建立了求解结构动力方程的一种新方法。该方法具有较高的精度和计算效率，算例的数值结果证明了本文方法的有效性。

英文摘要：

A precise time integration-FFT method applied for linear time-invariant dynamic system is presented. The initial-value problem is formally transformed into a boundary-value problem through discreting the structural dynamic equation and assuming the two ends of time displacement is known. A new method has high precision and efficiency to solve the structural dynamic equation is obtained by combining the numerical particular solution of non- homogeneous equation solved by fast Fourier transform （FFT） with the general solution of homogeneous equation obtained by precise integration method （PIM）. Numerical examples show the validity of the present method.