| Title | Generation of damped response spectra from an undamped response specfrum by constrained interpolation |
| Download | Downloads |
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| Licence | Please note the adoption of the Open Government Licence - Canada
supersedes any previous licences. |
| Author | McMechan, G A |
| Source | Earth Physics Branch, Seismological Service of Canada, Internal Report 77-8, 1977, 25 pages, https://doi.org/10.4095/314877  Open Access |
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| Year | 1977 |
| Publisher | Canada Department of Energy, Mines and Resources (Ottawa, Canada) |
| Document | internal document |
| Lang. | English |
| Media | paper; on-line; digital |
| File format | pdf (Adobe® Reader®) |
| Subjects | geophysics; Science and Technology; seismology; earthquakes; seismic waves; seismic velocities; Methodology |
| Illustrations | tables; spectra; plots |
| Released | 1977 05 01; 2019 09 20 |
| Abstract | The 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. |
| GEOSCAN ID | 314877 |
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