Pere, Balázs SZE
Numerical solution of a 1D contact-impact problem with different time stepping methods
Engineering structures often contain parts which are in contact. Even today, solving contact problems is one of the most challenging tasks in numerical analysis of structures. On the one hand, the difficulty of such problems results from its non-linear nature. On the other hand, inaccuracy raising from the discretization of a continuum as a set of distinct points can also cause problems. The problem discussed here is that when bodies are getting into touch the solution begins strongly to oscillate. This oscillation has no physical background, but it comes from the discretization itself. The presentation provides comparison of solutions using various time stepping methods as the central difference method, Newmark method, implicit Euler method, etc. A newly developed method is also introduced where a special damping matrix helps to suppress undesirable oscillations. Additionally, the model reduction technique is applied to speed up the computation while the non-oscillating property is preserved.
Online location: https://meet.google.com/ckd-siwc-nvx?authuser=0