This study presents the results of several nonlinear dynamic analyses performed on a 2D building structure equipped with different types of rate-independent hysteretic dampers. To simulate their complex hysteretic behavior, the Vaiana-Rosati model of hysteresis is employed. In particular, we compare the experimental and simulated hysteresis loops by evaluating the related amounts of dissipated energy. The results reveal remarkable consistency between them, underscoring the accuracy of the model in describing the complex behavior of the dampers as well as the ease of model calibration. In addition, by performing several nonlinear dynamic analyses in NextFEM Designer®, we examine various types of selected dampers thus delving into their respective advantages and determining the most effective one in reducing building displacements, velocities, and accelerations.