Random Function Model Research on Strong Ground Motion

Abstract eng:
Since a stochastic process may be represented perfectly by a family of functions with random parameters, an original random function model, in this context, for earthquake ground motion accelerograms is proposed. The new model contains two parts: one is constructed for describing the Fourier amplitude spectrum based on the physical theory; the other behaves the Fourier phase spectrum employing the empirical theorem. The Fourier amplitude spectrum model (FASM) is originated from the dynamic equation of a single-degree-of-freedom system, featuring the amplitude spectrum of the recorded accelerograms in principles. However, the Fourier phase spectrum model (FPSM) is built on the trend patterned accumulated phase (or unwrapped phase) spectrum which can be denoted by a series of linear polynomials or trigonometric functions. Finally, the model has been justified by the real accelerograms.

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