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<br />design earthquake, distance of the site from epicenter of <br />the earthquake, attenuation characteristics of the <br />earthquake to the site, and the source mechanisms of the <br />earthquake (type of fault, depth, etc.). The current <br />library of strong-motion records, in most cases, is not <br />sufficient to complete ly consider all of the abOlTe fac tors, <br />particularly the attenuation charac teristic s and the source <br />mechanisms. Site-dependent response spectra have been <br />developed for various conditions including foundation <br />conditions, earthquake size, and attenuation effects. <br /> <br />Site-dependent spectra will generally produce ground- <br />motion parameters that correspond better with those <br />expected on the basis of the seismological and geologic <br />conditions at the site. The limiting factor is that source <br />mechanisms and the attenuation charac teristic s to the site <br />may not be fully represented by the available data. Also, <br />the nuuber of relevant ground motion records may not be <br />sufficient to perform a statistical evaluation. Therefore, <br />care should be exercised in developing a site-dependent <br />re sponse spec tra. <br /> <br />4. Acceleration Time-Histories <br /> <br />The acceleration time-histories used in the analysis are <br />usually selected in conjunction with the site-independent or <br />site-dependent response spectra. The time-histories may be <br />real earthquake records or synthetic (mathematical models) <br />records whose response spectra closely represent the site- <br />independent or si te-dependen t re sponse spec tra. The re sponse <br />spectra from the time-histories may envelope site response <br />spec tra or they may repre sent an average; this depends on how <br />the site response spec tra were developed and the amount of <br />conservatism desired in defining the time-histories. <br /> <br />The synthetic earthquake rec ord s are developed from <br />mathematical models that use white noise, filtered white noise, <br />and sta tionary and nonsta tionary fi ltered white noise or <br />theoretical seismic source models of failure in the fault zone <br />to genera te time-histories. <br /> <br />Selection of real earthquake records to represent the site <br />acceleration time-histories is usually preferable to using <br />synthetic earthquakes. Sometimes, this is not possible due to <br />lack 0 f rec orded da ta . <br /> <br />Ac tual and synthetic earthquake time-histories may be modified <br />and/or combined to form time-histories which contain desired <br />ground motion charac terist ic s 0 f peak accelera tion, dura tion, <br />and frequency content. Accelerations can be increased or <br />decreased by scaling the amplitudes, i.e., by llDlltiplying by <br />the ratio of the peak acceleration desired to the peak <br />unmodified acceleration. Frequency content can be modified by <br /> <br />-16- <br />