Abstract:
Objective: To study the dynamic behavior of high-rise structures with dynamic oscillation dampers under various kinematic influences, taking into account the nonlinear elastic, viscoelastic, and elastoplastic properties of the structure’s material and the viscoelastic properties of the oscillation damper. Dynamic oscillation dampers can be used both at the stage of design, development and construction of structures, as well as in cases where structural quality deficiencies are identified during operation. Their adjustment allows for a simple way to achieve the desired effect of reducing oscillation levels. Methods. A mathematical model, methodology, and algorithm are proposed for evaluating the dynamic behavior of high-rise structures equipped with a dynamic vibration absorber, taking into account the nonlinear properties of materials under actual operating conditions. To account for internal dissipation in the structure’s material, a nonlinear hereditary Boltzmann-Volterra viscoelasticity model is employed, along with elastic-plastic properties based on a bilinear diagram. This model is characterized by a hysteresis loop, which describes the relationship between the structure’s response and deformation, represented in the form of a parallelogram. Results. The forced vibrations of high-rise structures near the resonance mode were investigated taking into account the linear, nonlinear elastic, viscoelastic and elastic-plastic properties of the structure material with a dynamic vibration damper under various kinematic effects in the base. The reliability of the method was verified by a test example considering the reaction of an elastic-plastic frame as a system with one degree of freedom under a given load. The effect of vibration damping of a high-rise structure was revealed taking into account the nonlinear viscoelastic and elastic-plastic properties of the structure material together with a viscoelastic dynamic vibration damper. Conclusion. The influence of the material’s dissipative properties on the structure’s oscillations has been established. Recommendations for optimizing the structure’s performance, taking into account the dynamic oscillation damper, have been proposed. The effectiveness of damping oscillations in a high-rise structure has been demonstrated, considering the nonlinear viscoelastic and elastoplastic properties of the structure’s material in conjunction with a viscoelastic dynamic oscillation damper.
Keywords:height structure, kinematic impact, nonlinear elastic, viscoelastic and elastic-plastic properties of the material, dynamic oscillation damper, finite element method, resonance mode.
Fulltext:
PDF file (2674 kB)