Abstract
The purpose of this series of researches is to compose a new aseismic statics on aseismic structural safety and a new aseismic design systematically based upon new fundamental concepts, "Resonance Capacity" and "Resonance Fatigue Characteristic" of structures, which were introduced by the authors. In this paper (I), which is the first part of this series, the technological and vibrational meanings of such new concepts, "Resonance Capacity" and "Resonance Fatigue Characteristic", are made clear. Subsequently, as a starting part of a new aseismic statics, structural materials are classified into types, "Slip Type" and "Loop Type", from the point of view of hysteretic characteristics, and their "Resonance Fatigue Characteristics" are described in terms of methematical and theoretical expression.