Compressive sensing with an adaptive wavelet basis for structural system response and reliability analysis under missing data

The challenge of determining response and reliability statistics of large-scale structural systems under earthquake induced stochastic excitations is considered where the source load data records are incomplete. To this aim, a compressive sensing based framework in conjunction with an adaptive wavelet basis is presented for reconstructing the samples with missing data and estimating the underlying process EPS. In this regard, novel insights are provided whereas certain conceptual, numerical, and practical implementation aspects of the technique are presented in detail. A numerical example pertaining to the stochastic response and reliability analysis of an eight floor reinforced concrete building structural system demonstrates the effectiveness of the proposed methodology.