This study is primarily focused on investigating the linear and nonlinear behaviour of beams and plates under dynamic loads. Additionally, it aims to provide a thorough understanding of the interaction between the frictional joint and the joined part. To this end, a new model for the joint has been suggested. It is intended to bridge the gap as shown by the literature review. Further, the model is adjusted to mediate a trade-off between low computation cost and acceptable prediction capability of true physics; portability and integrability features are attributed so they can be implemented easily. Practicability of the model is demonstrated by dynamic analysis. In particular, full time series analysis was carried out twice, one time for a beam and one time for a plate. In both cases, the stick-slip mechanism is allowed to interact with the geometrical nonlinearity of the beam or the plate model on a flexible support. Furthermore, for validation purposes, results from the plate model were compared to results from literature, experiments and some applicable analytical solutions. In order to make the results available, various computation software packages have been used parallel with some in-house programs coded by MATLAB. Furthermore, a variety of solution methodologies have been adopted such as finite element, finite difference for spatial state variables discretization and a direct time integration scheme for time domain variables. In order to evaluate the joint parameter impact on the built-up structures, the damping due to stick-slip at the joint is estimated by evaluating the dissipated energy. The final results show that the suggested lumped model is able to capture some realistic phenomena such as stick-slip and the interaction between the joint and the geometrical nonlinearity of the joined components. Obviously, the model is able to accommodate the damping due to the stick-slip at the joints. Hence, this allows for the optimizing process for joint parameters based on damping and stability conditions. In conclusion, in addition to the well-known vital role of the joint as a major participant in the system damping, the results also show the contribution of the joint to the overall behaviour. More precisely, the joint suppresses the high peaks of the internal, in-plane forces compared with case of fully clamped boundary conditions.