Title The elastic slit membrane: the concept and the target transient modes /
Authors Ragulskienė, Jūratė ; Pilkauskas, Kęstutis ; Palevičius, Paulius
DOI 10.15388/DAMSS.15.2024
eISBN 9786090711125
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Is Part of DAMSS: 15th conference on data analysis methods for software systems, Druskininkai, Lithuania, November 28-30, 2024.. Vilnius : Vilniaus universiteto leidykla, 2024. p. 82.. eISBN 9786090711125
Abstract [eng] This article presents the concept and the mathematical model of the elastic slit membrane. The complex structure of the membrane requires a non-standard approach for building the mathematical model and the numerical simulation scheme for the representation of the transient dynamics of the membrane. It is assumed that slits move in accordance with the fundamental axisymmetric mode of the circular-shaped membrane. The mathematical model incorporates the separable variables in time and the solution of a special case of Bessel’s differential equation in space. A large scale optimization strategy is used to generate the target transient modes of the membrane.
Published Vilnius : Vilniaus universiteto leidykla, 2024
Type Conference paper
Language English
Publication date 2024
CC license CC license description