Dynamic analysis of dams with nonlinear slipjoints

A nonlinear, slip-joint element for analyzing the effect of discontinuities on a concrete, arch dam's seismic response is developed. The joint element has been incorporated into a finite-element-based, solution for predicting dynamic structural response. This joint model, plus the numerical procedure incorporated into the incremental solution, models inter-element impact across a joint when adjacent, structural elements separate and later collide. Collision is incorporated into the incremental analysis by calculating the exchange of momentum and energy with the equations describing eccentric, rigid-body impact. Joint material's force-deflection relations are multi-linear with hysteresis. Coulomb friction is also modeled. The joint element and numerical procedure have been tested with two models. The first is a segmented arch of seven, straight beam elements connected to one another. The arch dam has been experimentally tested. Analytical results are compared with experimental results from the sealed model. Second is a rectangular plate model subject to lateral base accelerations. One horizontal edge is fixed and the opposite edge is free. The vertical edges may be fixed or connected to the base by joint elements.