Non-stationary oscillations of high-rise axisymmetric structures

Abstract

Dynamic behavior of a high-rise structure is investigated in the paper taking into account linear and nonlinear strain and energy dissipation caused by internal friction in the building material under various kinematic effects. An algorithm and program have been developed for the dynamic calculation of high-rise axisymmetric structures under various dynamic effects. Unsteady oscillations of the high-rise axisymmetric structure represented by a one-dimensional model - a viscoelastic beam of the annular cross-section with a variable tilt of the generatrix and a variable thickness are considered. Dynamic behavior of a high-rise structure in the resonant mode under short-term pulsed effect, under prolonged pulsed effect, under the sinusoidal-damped effect, under real seismic impact is studied and the graphs of displacement changes over time of various points of the structures are plotted. It was found that the dynamic response of a high-rise structure is affected not only by the magnitude of the dynamic load but also by its frequency spectrum and duration. Under the impact of a frequency close to the natural vibration frequency of the structure, significant displacements occur, and, if the material does not possess dissipative properties, the structure could collapse, being in the resonant mode.

Propagation of a spherical wave in elastoplastic medium with complex equations of state

“…In works [12][13][14][15], studies were carried out to analyze the behavior of a high-rise structure with various kinematic effects, taking into account the real geometry, dissipative and nonlinear properties of the structure material. A generalized approach to the dynamic calculation of high-rise structures has been developed, frequency characteristics have been constructed at various points of the structure.…”