Improved Root-Mean-Square Duration Models for Estimating acceleration and velocity Response Spectra from Fourier Amplitude Spectrum

The materials are provided to support the reproduction of the results presented in the paper, including the calibration and validation of the proposed root‑mean‑square (Drms) duration models for spectral acceleration (SA) and spectral velocity (SV) within the random vibration theory (RVT) framework. The contents are organized as follows. The file Drms_Calculation_Code.zip (26.14 MB) contains the MATLAB code for time‑history analysis, Drms coefficient regression, and validation of the proposed Drms models for SA and SV. The file SMSIM program.zip (354.56 KB) includes the SMSIM program (Boore, 2005), which is used to generate the synthetic ground‑motion acceleration time histories required for the analysis. The file M_R interpolation nodes.zip (1.14 GB) supplies the interpolation node data for the magnitude‑distance coefficient matrices used in the Drms models for SA and SV. The remaining files contain the time histories grouped by magnitude: M-R nodes1.zip (4.89 GB) covers moment magnitudes M = 4.0 and 4.5; M-R nodes2.zip (5.05 GB) covers M = 5.0 and 5.5; M-R nodes3.zip (5.28 GB) covers M = 6.0 and 6.5; M-R nodes4.zip (5.66 GB) covers M = 7.0 and 7.5; and M-R nodes5.zip is reserved for M = 8.0 (upload in progress). All magnitude‑distance scenarios include source‑to‑site distances ranging from 2 km to 502 km, consistent with the parameter space used in the study. To use these materials, first run the SMSIM program to generate acceleration time histories for the desired magnitude‑distance scenarios (input parameters are included in the SMSIM archive). Then execute the MATLAB scripts in Drms_Calculation_Code.zip to read the generated time histories, compute the Drms duration for SA and SV, derive the corresponding acceleration and velocity response spectra, and perform the regression and validation steps. The interpolation files provide the coefficient matrices needed for the magnitude‑distance interpolation described in the paper.