In this study, application of the spectral representation method for generation of endurance time excitation functions is introduced. Using this method, the intensifying acceleration time series is generated so that its acceleration response spectrum in any desired time duration is compatible with a time-scaled predefined acceleration response spectrum. For this purpose, simulated stationary acceleration time series is multiplied by the time dependent linear modulation function, then using a simple iterative scheme, it is forced to match a target acceleration response spectrum. It is shown that the generated samples have excellent conformity in low frequency, which is useful for nonlinear endurance time analysis. In the second part of this study, it is shown that this procedure can be extended to generate a set of spatially correlated endurance time excitation functions. This makes it possible to assess the performance of long structures under multi-support seismic excitation using endurance time analysis.

在本研究中，介绍了谱表示方法在生成耐久时间激励函数中的应用。使用这种方法，生成增强加速度时间序列，使其在任何所需时间段内的加速度响应谱与时间尺度的预定义加速度响应谱兼容。为此，将模拟的静止加速度时间序列乘以时间相关的线性调制函数，然后使用简单的迭代方案，强制匹配目标加速度响应谱。结果表明，生成的样本在低频具有良好的一致性，可用于非线性耐久时间分析。在本研究的第二部分，结果表明，可以扩展此过程以生成一组空间相关的耐久时间激励函数。这使得使用耐久时间分析来评估多支撑地震激励下长结构的性能成为可能。