An introduction to the Conditional Mean Spectrum

A common goal of dynamic structural analysis is to predict the response of a structure subjected to ground motions having a specified spectral acceleration at a given period. This is important, for example, when coupling ground motion hazard curves from probabilistic seismic hazard analysis with results from dynamic structural analysis. The prediction is often obtained by selecting ground motions that match a target response spectrum, and using those ground motions as input to dynamic analysis. The commonly used Uniform Hazard Spectrum (UHS) conservatively implies that large-amplitude spectral values will occur at all periods within a single ground motion. An alternative, termed a Conditional Mean Spectrum (CMS), is presented here. The CMS provides the expected (i.e., mean) response spectrum, conditioned on occurrence of a target spectral acceleration value at the period of interest. The CMS may be a more appropriate target spectrum in some analysis situations, and is thus a useful tool for selecting ground motions as input to dynamic analysis.

[quanghuytran]

I really like the way you share and teach us the seismic topics. It is very clear and easy to understand. Thank you very much!

[maksins]

Thank you Dr. Baker. This was informative and explained quite articulately. I really appreciate your efforts to make your research available on the internet.