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A Data-based Probabilistic Approach for the Generation of Spectra-Compatible Time-History Records

机译：光谱兼容的时间历史记录的基于数据的概率方法

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摘要

A data-based procedure is presented to develop spectra-compatible time-history records that are based on the dominant probabilistic features of an ensemble of records corresponding to the non-stationary stochastic phenomena of interest (e.g., earthquakes, wind loads, etc). The method requires a statistically significant collection of time-history records that are used to construct the associated covariance kernel of the random process. Subsequently, orthogonal decomposition approaches are used to determine the dominant eigenvectors of the covariance matrix, and these vectors are then linearly combined, with an adjustable amplitude-scale and phase-shift, to determine, via a nonlinear optimization scheme (employing a combination of stochastic and deterministic approaches), a time-history record that matches the target spectrum within a specified error bound. The utility of this approach is demonstrated with several collections of earthquake records from different regions of the world (Japan, Los Angeles, and San Francisco) that are then used to match various spectra widely used in seismic design applications. Issues that impact the selection of the bases vectors to construct the optimum spectra-matching record are discussed, and guidelines are provided for successful implementation of the proposed methodology.
机译：提出了一种基于数据的程序来开发与光谱兼容的时程记录，该记录基于与感兴趣的非平稳随机现象（例如地震，风荷载等）相对应的记录集合的主要概率特征。该方法需要统计上重要的时间历史记录集合，这些记录用于构建随机过程的关联协方差内核。随后，使用正交分解方法确定协方差矩阵的主要特征向量，然后将这些向量与可调整的幅度尺度和相移进行线性组合，以通过非线性优化方案确定（采用随机组合）和确定性方法），即在指定误差范围内与目标频谱相匹配的时间历史记录。世界上不同地区（日本，洛杉矶和旧金山）的几个地震记录集合证明了这种方法的实用性，然后将这些记录用于匹配在地震设计应用中广泛使用的各种光谱。讨论了影响碱基向量选择以构建最佳光谱匹配记录的问题，并为成功实施所提出的方法提供了指导。

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