Investigation of bar system modal characteristics using Dynamic Stiffness Matrix polynomial approximations

The rapid development of analytical and semi-analytical methods being based at DSM idea is commented and justified in comparison with FEM analysis. Even if a certain overlap exists, the DSM approach represents an irreplaceable alternative of analysis especially in broadband dynamic problems stemming from area of the stochastic dynamics, like wind, earthquake or traffic engineering. Problems of dynamic stability are easier to be managed as well, when using DSM oriented approaches together with related algorithms of the analytical and semi-analytical method family. Moreover, many problems of physics at the nano-scale emerged recently where these procedures are preferable to be used.