THE EVALUATION OF REDUCTION FACTOR BY DAMPING IN NON-STATIONARY ELASTIC RESPONSE BASED ON ENERGY THEORY

Abstract

 This paper theoretically induces the response reduction factor of the elastic single-mass system based on the equilibrium of the absorbed energy and the input energy during one cycle just before the maximum response. The fundamental relation adopted in the theory is that the response waveform with random damping factor is expressed as α times that of the basic damping factor. This value of α corresponds to the response reduction factor and is greatly affected by a projecting ratio of the maximum response to the peak response just before it. Finally, the paper presents the equation to calculate the response reduction factor as the function of projecting ratio. The theoretical values given by the proposed equation show excellent agreement with those of the time history analyses.