The endurance time (ET) method is a dynamic analysis in which structures are subjected to intensifying excitations, also known as ET excitation functions (ETEF). The ET method is a tool for structural response prediction. The main advantage of the ET method over conventional approaches is its much lower demand for computational efforts. The concept of acceleration spectra is used in generating existing ETEFs. It is expected that ETEF acceleration spectra increase consistently with time and remain proportional to a target spectrum. Nonlinear unconstrained optimization is commonly used to generate ETEFs. Generating new ETEFs is a complicated time-consuming mathematical problem. If the target acceleration spectrum changes, new ETEFs must be generated. This study intends to modify existing ETEFs to be compatible with a desired acceleration spectrum. This process, called spectral matching, obviates the need for using the complicated generating procedure in simulating new ETEFs. ETEFs spectral matching is introduced in this paper for the first time. A Fourier-based method for ETEFs spectral matching is proposed. This algorithm is then applied in a case study. Results are presented to prove the efficiency of the algorithm.

中文翻译：

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一种通过傅立叶变换匹配耐力时间激励响应谱的方法

耐久时间（ET）方法是一种动态分析，其中结构受到强化激发，也称为ET激发函数（ETEF）。ET方法是用于结构响应预测的工具。与传统方法相比，ET方法的主要优点是对计算工作的需求低得多。加速度谱的概念用于生成现有的ETEF。预计ETEF加速度谱会随着时间不断增加，并保持与目标谱成比例。非线性无约束优化通常用于生成ETEF。生成新的ETEF是一个复杂且耗时的数学问题。如果目标加速度频谱发生变化，则必须生成新的ETEF。这项研究旨在修改现有的ETEF，使其与所需的加速度谱兼容。此过程称为光谱匹配，从而避免了在模拟新ETEF时使用复杂的生成过程的需求。本文首次介绍了ETEF的光谱匹配。提出了一种基于傅立叶的ETEF频谱匹配方法。然后将该算法应用于案例研究。结果证明了该算法的有效性。