Problems of numerical problems of dynamics as a part of Computational Mechanics will constitute the core of the first part of the special session. Papers dealing with various aspects of computer implementations of new numerical approaches are expected together with relevant studies of numerical stability, efficiency and reliability. Combined analysis based on analytical and numerical basis are welcome. The Dynamic Stiffness Matrix approach and related topics are principally invited. Examples include eigen-value and eigen-mode searching methods and analysis concerning non-symmetric, non-proportional and various types of perturbed problems, large and sparse matrices, lambda matrices amongst others. Investigations of multiple eigen-value problems and Jordan structures as well as problems of numerical integration of large evolution differential systems and similar topics are considered to be relevant themes.
The core of the second part of the special session will consist of non-linear dynamics and problems related to dynamic stability. This part of will be particularly aimed at non-linear vibration of systems with concentrated and distributed mass, stability problems, post-critical response processes and areas of both Hamiltonian and non-Hamiltonian mechanics. Deterministic as well as random formulations including additive/multiplicative excitation and related self-exciting processes will be given due recognition. Problems regarding stability definition, types and criteria, bifurcations, limit states, limit cycle oscillations, internal resonance within non-linear systems, auto-parametric processes, transition and other unsteady effects, quasi-periodic interaction and analogous themes are also welcome.
It is expected that both the classical fields as well as emerging areas of linear and non-linear dynamics will be fully addressed. Papers of analytic, semi-analytic, numeric or simulation types based on multi-degree of freedom and/or continuous models will be given preference. Experimental investigations representing either independent research or those being conducted as verification, validation or motivation of on-going theoretical studies are encouraged. Papers reporting interesting practical applications in physics and engineering including case studies, interaction with other areas of mechanics and physics are also expected. Particularly welcome are interdisciplinary investigations providing current developments in the field and pilot studies with preliminary results.