Study on the calculation method of the maximum deformation of the isolation layer of friction pendulum isolated structures based on energy analysis
Seismic isolation technology is an effective means to protect the safety of structures.Taking the friction pendulum isolation structure as an example,a method for calculating the maximum deformation of the isolation layer(MDIL)based on the maximum momentary input energy(MMIE)analysis is proposed.Firstly,the MDIL is verified to be occur simultaneously with the MMIE based on a nonlinear single degree of freedom(NSDOF)model.Secondly,the relationship between the maximum sliding displacement and the hysteretic energy consumption of the isolation layer is derived.The ratio of the MDIL to the maximum sliding displacement of the isolation layer is further determined.Finally,a method for calculating the MDIL based on the MMIE is proposed and verified using the NSDOF model.The results show that there is a high correlation between the MDIL and the MMIE.The ratio of the hysteretic energy of the isolation layer to the MMIE decreases with the increase of the equivalent period of the structure.The ratio of the MDIL to the maximum sliding displacement is about 0.55.Compared to the actual maximum deformation of the isolated structure,the calculated deformation using the energy method is with an error of 10%.
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