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Structural response to non‐stationary non‐white stochastic ground motions
Author(s) -
Langley R. S.
Publication year - 1986
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290140607
Subject(s) - convolution (computer science) , envelope (radar) , moment (physics) , mathematics , white noise , numerical integration , mathematical analysis , engineering , computer science , physics , statistics , classical mechanics , telecommunications , radar , machine learning , artificial neural network
A numerical procedure is presented for calculating the survival probability of a linear multidegree of freedom structure subjected to non‐stationary non‐white ground motions using the concept of qualified envelope crossings. The moment equations governing the covariances of the structural response and its Hillbert transform are derived, and efficient techniques for calculating various convolution integrals which appear in these equations are discussed. Numerical integration of the moment equations yields the statistics of the response and the response envelope, from which the survival probability can be estimated. Excellent agreement is found with published analytical results for the response variances of a three storey building, and it is shown that the method can readily deal with cases for which there is no analytical solution.