References¶
This page contains the complete bibliography of scientific references used in pyRVT documentation and implementations.
Linda Al Atik, Albert Kottke, Norman Abrahamson, and Justin Hollenback. Kappa (κ) scaling of ground-motion prediction equations using an inverse random vibration theory approach. Bulletin of the Seismological Society of America, 104(1):336–346, 2014.
John G Anderson and Susan E Hough. A model for the shape of the fourier amplitude spectrum of acceleration at high frequencies. Bulletin of the Seismological Society of America, 74(5):1969–1993, 1984.
Gail M Atkinson and David M Boore. Modifications to existing ground-motion prediction equations in light of new data. Bulletin of the Seismological Society of America, 101(3):1121–1135, 2011.
David M Boore. Simulation of ground motion using the stochastic method. Pure and applied geophysics, 160(3-4):635–676, 2003.
David M Boore and William B Joyner. A note on the use of random vibration theory to predict peak amplitudes of transient signals. Bulletin of the Seismological Society of America, 74(5):2035–2039, 1984.
David M Boore and Eric M Thompson. Empirical improvements for estimating earthquake response spectra with random-vibration theory. Bulletin of the Seismological Society of America, 102(2):761–772, 2012.
David M Boore and Eric M Thompson. Revisions to some parameters used in stochastic-method simulations of ground motion. Bulletin of the Seismological Society of America, 2015.
Kenneth W Campbell. Prediction of strong ground motion using the hybrid empirical method and its use in the development of ground-motion (attenuation) relations in eastern North America. Bulletin of the Seismological Society of America, 93(3):1012–1033, 2003.
DEm Cartwright and Michael S Longuet-Higgins. The statistical distribution of the maxima of a random function. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, volume 237, 212–232. The Royal Society, 1956.
Alan Garnett Davenport. Note on the distribution of the largest value of a random function with application to gust loading. In Institute of Civil Engineering Proceedings, volume 28, 187–196. London, 1964. Institute of Civil Engineers.
Dario Ambrose Gasparini and Erik Hector Eugene Joseph Vanmarcke. Simulated earthquake motions compatible with prescribed response spectra. Massachusetts Institute of Technology, Department of Civil Engineering, Constructed Facilities Division, 1976.
Takeru Igusa and Armen Der Kiureghian. Dynamic characterization of two-degree-of-freedom equipment-structure systems. Journal of engineering mechanics, 111(1):1–19, 1985.
Armen Der Kiureghian. A response spectrum method for random vibrations. Technical Report UCB/EERC-80/l5, University of California, Berkeley, CA, June 1980.
L Liu and S Pezeshk. An improvement on the estimation of pseudoresponse spectral velocity using rvt method. Bulletin of the Seismological Society of America, 89(5):1384–1389, 1999.
Andrew Seifried, Mahdi Bahrampouri, Gabriel R Toro, and Albert R Kottke. To be determined. Bulletin of the Seismological Society of America, 2025.
Peter J Stafford, David M Boore, Robert R Youngs, and Julian J Bommer. Host-region parameters for an adjustable model for crustal earthquakes to facilitate the implementation of the backbone approach to building ground-motion logic trees in probabilistic seismic hazard analysis. Earthquake Spectra, 38(2):917–949, 2022.
Gabriel R Toro and Robin K McGuire. An investigation into earthquake ground motion characteristics in eastern north america. Bulletin of the Seismological Society of America, 77(2):468–489, 1987.
Erik H Vanmarcke. On the distribution of the first-passage time for normal stationary random processes. Journal of applied mechanics, 42(1):215–220, 1975.
Xiaoyue Wang and Ellen M Rathje. Accounting for changes in duration in random-vibration-theory-based site-response analysisaccounting for changes in duration in random-vibration-theory-based site-response analysis. Bulletin of the Seismological Society of America, 108(4):2117–2129, 2018.
Additional Reading¶
For those interested in learning more about random vibration theory and its applications in earthquake engineering, the following resources are recommended:
Textbooks and Monographs¶
Clough, R. W., & Penzien, J. (2003). Dynamics of Structures. Computers & Structures, Inc.
Chopra, A. K. (2016). Dynamics of Structures: Theory and Applications to Earthquake Engineering. Prentice Hall.
Kramer, S. L. (1996). Geotechnical Earthquake Engineering. Prentice Hall.
Key Review Papers¶
Boore, D. M. (2003). Simulation of ground motion using the stochastic method. Pure and Applied Geophysics, 160(3), 635-676.
Hanks, T. C., & McGuire, R. K. (1981). The character of high-frequency strong ground motion. Bulletin of the Seismological Society of America, 71(6), 2071-2095.
Software and Standards¶
Boore, D. M. (2005). SMSIM—Fortran programs for simulating ground motions from earthquakes: version 2.3—a revision of OFR 96–80–A. US Geological Survey Open-File Report 00-509.
Building Seismic Safety Council (2020). NEHRP Recommended Seismic Provisions for New Buildings and Other Structures. FEMA P-2082-1.
Online Resources¶
Historical Development¶
The development of random vibration theory for earthquake engineering applications spans several decades:
- 1960s-1970s: Foundation period
Development of basic RVT concepts
Early applications to earthquake engineering
Vanmarcke’s seminal work on first-passage times
- 1980s-1990s: Practical applications
Integration with ground motion prediction
Development of stochastic simulation methods
Refinement of peak factor calculations
- 2000s-2010s: Modern implementations
Computational advances enabling broader application
Integration with probabilistic seismic hazard analysis
Development of more sophisticated source models
- 2010s-Present: Current research
Machine learning applications
Site-specific ground motion prediction
Integration with physics-based simulations
Contributing References¶
If you know of additional references that should be included in pyRVT documentation:
Create an issue on GitHub with the reference details
Consider contributing a pull request adding the reference to
refs.bibProvide context about how the reference relates to pyRVT functionality
Reference Management¶
The bibliography is managed using:
BibTeX format in the
refs.bibfilesphinxcontrib-bibtex for automatic bibliography generation
Zotero for reference management (optional)
All references in the documentation should be included in the centralized bibliography to ensure consistency and proper formatting.