Nonlinear Analytical Models of the Seismically Isolated ``Frame-Boiler'' System with Cantilever-Type Hysteresis Dampers

This study shows results of development of the ``frame-boiler'' system with hysteresis dampers analytical model. Hysteresis dampers are used as boiler antiseismic bracing. It is noted that simplified analytical models are necessary at the stage of preliminary iterative calculations, when a CAE-modeling is impractical due to significant time costs. The authors have proposed 2 options of analytical models: 2-mass model and 3-mass model. The differential equations of motion for each model are written below. The results of the calculation for seismic impacts are compared with the finite element model. It is shown that 3-mass model gives good match of results both in terms of displacement values and in terms of accelerations: the average discrepancy is less 5%. This model is proposed to use at the stage of preliminary calculations, including selection optimal parameters of dampers and their number.