Nonlinear discrete-continuous models in the analysis of low structures subject to kinematic excitations caused by transversal waves

The paper deals with dynamic analysis of low structures subject to kinematic excitations caused by transversal waves when using nonlinear discrete-continuous models. The models consist of rigid bodies and elastic elements which undergo only shear deformations. In these models discrete elements with a damper and a spring of a nonlinear characteristic representing local nonlinearities can be included. In the study a wave approach is used, in terms of the wave solution of the equations of motion. Numerical calculations are performed for model with single, two, three or four rigid bodies. They focus on the determination of amplitude-frequency curves and investigation into the effect of local nonlinearities on displacements of selected cross-sections of elastic elements in the considered models.