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Explicit integration of equations of motion solved on computer cluster

Rek, Václav — 2019

Programs and Algorithms of Numerical Mathematics

In the last decade the dramatic onset of multicore and multi-processor systems in combination with the possibilities which now provide modern computer networks have risen. The complexity and size of the investigated models are constantly increasing due to the high computational complexity of computational tasks in dynamics and statics of structures, mainly because of the nonlinear character of the solved models. Any possibility to speed up such calculation procedures is more than desirable. This...

On a computational approach to multiple contacts / impacts of elastic bodies

Vala, JiříRek, Václav — 2023

Programs and Algorithms of Numerical Mathematics

The analysis of dynamic contacts/impacts of several deformable bodies belongs to both theoretically and computationally complicated problems, because of the presence of unpleasant nonlinearities and of the need of effective contact detection. This paper sketches how such difficulties can be overcome, at least for a model problem with several elastic bodies, using i) the explicit time-discretization scheme and ii) the finite element technique adopted to contact evaluations together with iii) the...

Dynamic Damping - Comparison of different concepts from the point of view of their physical nature and effects on civil engineering structures

Němec, IvanTrcala, MiroslavVaněčková, AdélaRek, Václav — 2019

Programs and Algorithms of Numerical Mathematics

Sources of dynamic damping may be various. Mostly, the damping is implemented into calculations in a form of introduction of damping forces, as a product of the velocity vector and the damping matrix in an equation of motion. In practice, the damping matrix is usually assumed to be a linear combination of the mass matrix and the stiffness matrix (so called Rayleigh’s damping). This kind of damping primarily assumes the external environment viscosity as the source of damping, even though the part...

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