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TitleGeneration of damped response spectra from an undamped response specfrum by constrained interpolation
LicencePlease note the adoption of the Open Government Licence - Canada supersedes any previous licences.
AuthorMcMechan, G A
SourceEarth Physics Branch, Seismological Service of Canada, Internal Report 77-8, 1977, 25 pages, Open Access logo Open Access
PublisherCanada Department of Energy, Mines and Resources (Ottawa, Canada)
Documentinternal document
Mediapaper; on-line; digital
File formatpdf (Adobe® Reader®)
Subjectsgeophysics; Science and Technology; seismology; earthquakes; seismic waves; seismic velocities; Methodology
Illustrationstables; spectra; plots
Released1977 05 01; 2019 09 20
AbstractThe calculation of damped response spectra can be greatly simplified if only approximate spectra are required. The procedure proposed here is based on the observations that the shape of damped response spectra are similar to that of the undamped spectrum of the same record, and that a highly damped spectrum is smoother, and of smaller average value than a spectrum corresponding to a lower percentage damping . Guided by these general properties of damped spectra, a fast, approximate algorithm has been empirically devised for the production of damped spectra from an undamped spectrum. The technique is basically one of constrained interpolation. It is general in that it is independent of the physical significance of the data to which it is applied. As the number of constraint points increases, the approximations converge to a desired solution, so that any required degree of precision can be obtained. Computational costs, which are typically of the order of 10% of the cost of direct integration, are low enough that the approach described here should be competitive with all other techniques for most applications.

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