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Earthquakes and Structures
  Volume 8, Number 5, May 2015, pages 1055-1067

Earthquake response spectra estimation of bilinear hysteretic systems using random-vibration theory method
Azad Yazdani and Mohammad-Rashid Salimi

    A theoretical procedure to estimate spectral displacement of a hysteretic oscillator with bilinear stiffness excited by band-limited excitation is presented. The stochastic method of ground-motion simulation is combined with the random vibration theory to compute linear and nonlinear structural response. The response is obtained by computing the root-mean-square oscillator response using dissipation energy balancing by integrating over all energy levels of system weighting with the stationary probability density of the energy. The results are presented in a convenient form, and the accuracy of the procedure is assessed by comparison with results obtained with the time-domain method using the recorded data. The model shows little or no bias at the structural period of engineering interest.
Key Words
    bilinear hysteretic; random-vibration; displacement; stochastic; point-source
Azad Yazdani and Mohammad-Rashid Salimi: Department of Civil Engineering, University of Kurdistan, Sanandaj, Iran

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