New Strength Degradation of Bouc-Wen Hysteresis Differential Model for Romanian Anti-Seismic Devices Used in Buildings Seism Protection Systems

Abstract

In this paper is presented a new mathematical differential model used for simulating the hysteresis phenomenon of romanian seismic energy dissipating devices which are usefull in seismic protection of buildings suprastructure. Existing mathematical models do not provide adequate modeling of the behavior of these devices during seism. The new mathematical model proposed in this paper represents a modification of the Bouc-Wen differential mathematical model through a new Strength Degradation method that reduces the capacity of the Backbone curve of the hysteresis characteristic. This is done through a yield force whose expressions have been proposed by several authors, but the new expression of the yield force proposed in this paper ensures an adequate simulation of the seism behavior of the Romanian anti-seismic devices SERB C-194. The new expression of yield force depends on four variable parameters that amplify the versatility of this new mathematical model which can simulate a wide variety of hysteretic loops difficult to model with other mathematical models of hysteresis.