Some seismic design codes require to determine earthquake motions at ground surface, although we need sometimes a motion at engineering basement of ground. For example, it is necessary for optimal design of structures to introduce effects of soil-structure interaction and to input ground motions to engineering basement, which should satisfy the motions at surface required by a design code. This is simplified as a problem to find a possible input signal of a known non-linear-single-input and single-output (SISO) system with a given output signal. This study proposes a very simple algorithm to find a possible input signal for a known SISO system satisfying a given output signal from the system. The proposed algorithm searches for a possible input signal, whose system response is similar in shape to the given output signal, without any system identifications. Thus, it is not an inversion technique; it is an algorithm used to search for one of the possible input signals. Herein, the proposed algorithm is described and its performance is demonstrated using numerical examples.

中文翻译：

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一种利用地表给定运动寻找合适输入运动的方法

一些抗震设计规范要求确定地表的地震运动，尽管有时我们需要在地面的工程地下室进行运动。例如，结构的优化设计需要引入土结构相互作用的影响，并将地震动输入工程地下室，这应满足设计规范要求的地表运动。这被简化为寻找具有给定输出信号的已知非线性单输入单输出 (SISO) 系统的可能输入信号的问题。本研究提出了一种非常简单的算法，可以为已知的 SISO 系统找到满足系统给定输出信号的可能输入信号。所提出的算法搜索可能的输入信号，其系统响应在形状上与给定的输出信号相似，没有任何系统标识。因此，它不是一种反演技术。它是一种用于搜索可能输入信号之一的算法。本文描述了所提出的算法，并使用数值示例证明了其性能。