In this paper, we develop two wave-based approaches for predicting the nonlinear periodic response of jointed elastic bars. First, present a vibration approach (WBVA) studying systems informed by re-usable, perturbation-derived scattering functions. This analytical can be used to predict steady-state, forced bar structures incorporating any number and variety joints. As second method, Plane-Wav...

We study the construction of nonlinear impulse responses in linear structural dynamic models that include nonlinearly transformed regressors. derive closed-form solution for population to a given shock and propose control function approach estimating these without taking stand on how remainder model is identified. Our plug-in estimator dispenses with need simulations and, unlike conventional lo...

Placing column lap-splice in the locations of possible nonlinear deformation may adversely affect the structures response to strong ground motions. Localization of damage in splice zone may change the structural response and prevent the load redistribution and development of a uniform pattern of nonlinear excursions among the various members. Validated by existing laboratory experiments, this s...