Distribution of accumulated irrecoverable hysteretic energy in MDOF structures
Purpose The study of the character of structural hysteretic energy under earthquake is an essential foundation for energy-based seismic design and evaluation method. The purpose of this paper is to explore the distribution law of the accumulative irrecoverable hysteretic energy for MDOF structures, a formula of the accumulated irrecoverable hysteretic energy ratio along the layers is derived. Design/methodology/approach The procedure is based on the energy balance principle and the concept of the equivalent single-degree-of-freedom system. Furthermore, sensitivity analysis is carried out for 16 working conditions, considering all these possibilities of local failure or damage. And then the sensitivity influencing rule is obtained and the proposed formula is simplified. Findings Finally, the validation of the proposed formula is investigated through comparisons with the nonlinear time-history analysis results. Originality/value The proposed formula can be effectively to estimate the distribution of the hysteretic energy under a given ground motion.