Linear and Equivalent-Linear Direct Transfer of Bedrock Response Spectrum to Free Surface

The aim of this study is to develop a method based on a theoretical background that can evaluate directly the response spectrum of a soil profile at the surface from a specified bedrock response spectrum. One-dimensional ground response analysis is mainly performed using linear (L) and equivalent linear (EQL) method. The interesting feature of this method is its possibility to evaluate, directly, the response spectrum of a soil profile at the surface, without the need of using the power spectral density or the Fourier amplitude spectrum. The results of the proposed method showed a good agreement compared with those obtained from the Shake software and from the random vibration theory (RVT) used in the Strata software.