abstract

A hill is represented by a linearly elastic shear beam with an exponentially varying cross section in order to predict its earthquake response. An inequality is proposed through which an upper bound on the amplification factor of the maximum base acceleration may be estimated. The method is applied to Kagel Mountain, the site of the 1971 San Fernando earthquake, and an upper bound on the amplification factor of the maximum base acceleration for the Pacoima Dam site, when subjected to the El Centero earthquake of 1940, is estimated. The results are in good agreement with what may be predicted from the available attenuation curve for the Western United States.

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