Abstract
This paper deals with the characteristic of non-parametric planes caused by the dynamic responses with the hysteretic restoring forces (HRF). In the first place, this method evaluates the plane represented by the 2D wavelet coefficient. In addition, the plane is investigated by the equivalent values (ωeq, βeq) on the dynamic properties of the HRF system. This 2D wavelet transformations is very effective to understand the characteristic of the non-parametric plane. In the second place, the equi-response spectrum is the absolute accelerations with a linear system under the uniformity power of response or input. The equi-response spectrum is defined by the wavelet function and is considered the property by the comparison with the response spectrum of hysteretic systems.
