Relation between seismic intensity by linear and nonlinear site responses using transfer functions derived from KiK-net records

We develop an empirical equation of seismic intensity by nonlinear site responses as functions of seismic intensity by linear site responses and the equivalent predominant frequency derived from the peak ground acceleration and the peak ground velocity. The strong motions by linear site responses are calculated using records affected by nonlinear site responses and empirical transfer functions which are defined by spectral ratios of ground motions at a surface to vertical motions at a borehole for weak motions with respect to those for strong motions using KiK-net records after removing records affected by rocking or uplifting vibrations.