Nonlinear Site Response Model With Improved Damping and Strain Softening

Abstract eng:
This paper presents the mathematical formulation of the one-dimensional nonlinear seismic site response program QUIVER, which contains two different analysis options. The first option performs a nonlinear site response analysis with a hyperbolictype backbone curve and Davidenkov’s model (1938) to describe the unloading-reloading behavior. The Davidenkov (1938) model gives narrower hysteresis loops than the traditional Masing rules, which result in less damping at large shear strains that more accurately reflects laboratory tests. In addition, the hyperbolic model can accurately estimate both small strain nonlinearity and a given shear strength at failure. The second option performs a nonlinear site response analysis using a viscoelastic linear loading-unloading model with a tri-linear model for strain softening post peak strength. The inclusion of a model for strain softening in Quiver is unique and not available in most seismic site response programs. Finally, this paper compares results from the first option with results from another commonly used one-dimensional site response program using ground motions with forward directivity, and demonstrates the effects and importance of strain softening on site response analyses.

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