The accuracy of several assumptions made when developing the methodology for nonlinear response history analysis of Chapter 16 of ASCE/SEI 7 is investigated. The major findings of this work include: (1) Modeling the gravity system's lateral influence can have a significant effect on system behavior, but it is generally conservative to neglect its contribution. (2) Exclusion of a residual drift check is acceptable when collapse prevention is the primary objective. (3) Spectrally matched ground motions should cautiously be used for near-field sites. (4) The effects of nonlinear accidental torsion can be influential, and should be considered for the analysis of torsionally irregular buildings. (5) When analyzed using FEMA P-695, a structure designed per ASCE/SEI 7 Chapter 16 may have a probability of collapse that is different than the target value associated with the system's risk category.
Plane elastic waves in assemblies of solid or hollow circular particles are considered using finite element approximations combined with periodic boundary conditions. Of primary interest are the dispersion relations and their interaction with particle geometry, the nature of the slowness curves for this class of particle assembly, the influence of particle anisotropy, and the effective elastic constants of these assemblies as computed by wave speed parameters. A comparison with experimental results from the literature is also provided for the case of extremely thin isotropic rings.
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