The Stochastic Response of Strongly Yielding Systems

A new look at an old problem
  • Wilfred D. Iwan
  • Leonidas G. Paparizos
Part of the Lecture Notes in Engineering book series (LNENG, volume 32)


The bilinear hysteretic model is used to examine the nature of the stochastic response of strongly yielding (nearly elasto-plastic) systems. Both second-order and third-order equivalent linearization schemes are examined. It is shown that although these approximate techniques generally give acceptable results for second-order response statistics they fail to yield an accurate description of the nature of the response in the frequency domain. The influence of the excitation Power Spectrum on the response is examined. The desirability of decomposing the response into an elastic and inelastic component is demonstrated.


Displacement Response Equivalent Linearization Power Spectral Density Function White Noise Excitation Stochastic Response 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • Wilfred D. Iwan
    • 1
  • Leonidas G. Paparizos
    • 1
  1. 1.California Institute of TechnologyPasadenaUSA

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