Abstract In this paper, we propose a general method for solving structural mechanics problems by developing “functional model”. It is implemented defining the required geometrical and physical relationships in their form via analytical numerical functions. For that purpose, special programming language Calcpad used. The obtained data structure processed core engine, which generates computer cod...

1. Abstract Structural topology optimization often leads to slender structures which are sensitive to geometric imperfections such as the misplacement of material. A robust approach is therefore presented in order to take into account material misplacement in topology optimization problems. A probabilistic approach to robust optimization is followed. Spatially varying geometric imperfections ar...

Random numbers are essential for our modern information based society e.g. in cryptography. Unlike frequently used pseudo-random generators, physical random number generators do not depend on complex algorithms but rather on a physical process to provide true randomness. Quantum random number generators (QRNG) do rely on a process, which can be described by a probabilistic theory only, even in ...

Different record achievements are fixed in many domains of the human activities. Very often this process happens with some rate discretization (up to seconds, up meters or thousands individuals) observed results. On examples exponential and geometrical distributions it is shown how such type transition from continuous discrete can vary numbers values corresponding sequences random variables.

A random noise-induced beam degradation that can affect intense beam transport over long propagation distances has been experimentally studied by making use of the transverse beam dynamics equivalence between an alternating-gradient (AG) focusing system and a linear Paul trap system. For the present studies, machine imperfections in the quadrupole focusing lattice are considered, which are emul...

The finite element model-based design of steel structures is getting increasing attention by designers, especially in the case buckling problems welded plated and static check interacting stability behaviour. FEM-based approach introduced standardised EN 1993–1-5 Annex C providing ability to calculate resistance based on direct geometrical material non-linear analysis using imperfections (GMNIA...

For the European x-ray free electron laser (XFEL) a split-and-delay unit (SDU) based on geometrical wavefront beam splitting and multilayer mirrors is built which covers the range of photon energies from 5 keV up to 20 keV. Maximum delays between ∆τ ± 2.5 ps at hν=20 keV and up to ∆τ ± 23 ps at hν=5keV will be possible. Time-dependent wave-optics simulations have been performed by means of Sync...