The Dynamic Response of a Building Model with Decreasing Stiffness during Long-Period Earthquakes
Abstract
Long-period earthquakes with dominant periods of about 2...5 s occur in the far zone and usually have low intensity. However, such earthquakes can cause devastating consequences for structures if, first, their vibration frequencies are close to the lowest natural frequencies of the structures, and, second, if they persist for a sufficiently long time.
The aim of this work is to simulate a situation in which low-intensity seismic vibration acts on a structure for a long time with close-to-resonant frequencies. It leads to a long-term oscillatory process with large amplitudes. Such conditions can give rise to cyclic elastic-plastic deformation of the system with accumulation of damages, with degradation of stiffness and with decreasing of natural frequencies. If during a long-period earthquake the prevailing seismic load frequencies also decrease, the structure is “self-tuned” to resonance, a circumstance that aggravates the seismic load consequences.
The dynamic response of a system with time-dependent decreasing of stiffness for long-period seismic oscillations was analyzed for the first time. The Tohoku earthquake accelerogram recorded in Tokyo on March 11, 2011 at the TKY017 station was taken as the seismic load. The prevailing seismic load frequencies in the selected record decrease from 0.83 Hz to 0.3 Hz.
Displacements and their standard deviations for systems with the initial natural frequencies equal to 0.83 Hz, 1 Hz, and 0.5 Hz were obtained and analyzed. All calculations, including preprocessing of seismic load data, implementation of the hysteresis algorithm with decrease of stiffness, integration of the motion equations, and analysis of the obtained results were all accomplished in the Matlab software system environment.
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Для цитирования: Радин В.П., Позняк Е.В., Новикова О.В. Реакция модели здания со снижением жесткости на длиннопериодные сейсмические воздействия // Вестник МЭИ. 2019. № 6. С. 124—130. DOI: 10.24160/1993-6982-2019-6-124-130.
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For citation: Radin V.P., Poznyak E.V., Novikova O.V. The Dynamic Response of a Building Model with Decreasing Stiffness during Long-Period Earthquakes. Bulletin of MPEI. 2019;6:124—130. (in Russian). DOI: 10.24160/1993-6982-2019-6-124-130.
