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Mass lumping methods for the semi-loof shell element
Sháněl, Vít ; Kolman, Radek ; Plešek, Jiří
Mass matrix diagonalization in terms of a finite element method (FEM) is essential for an effective deployment of the explicit method as one of the direct integration methods of the motion equations of elastodynamics. A particular attention is focused on the mass matrix diagonalization of the semi-loof shell element. Its diagonalization requires a specially designed universal diagonalization scheme that is derived from the scaling HRZ method. Another analyzed aspect is the problem of preserving the moment of inertia for various types of finite elements. The proposed scheme is implemented in the finite element program and consequently tested on several problems
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FEM simulation of an integrated longitudinal and tangential wave probe
Hora, Petr ; Červená, Olga
The aim of contribution is the finite element modeling of integrated longitudinal and shear wave probe. This type of probe was investigated by Cheng-Kuei Jen and Makiko Kobayashi in Jen (2007). Finite element calculations are performed in the commercial environment COMSOL Multiphysics. The ultrasonic transducer excitation was modeled as total force load. The received ultrasonic signal was obtained by integration of velocities at place of ultrasonic transducer. Though these simplifications the resulting ultrasonic signals are in good agreement with results presented by Cheng-Kuei Jen and Makiko Kobayashi.
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Finite element contact-impact algorithm in explicit transient analysis
Gabriel, Dušan ; Kopačka, Ján ; Plešek, Jiří ; Ulbin, M.
This work addresses three issues in computational modelling of contact-impact problems: i) overviews a contact algorithm proposed by these authors, ii) local search treatment based on the modification of the Nelder-Mead simplex method, iii) discusses an algorithmic aspects of contact algorithm in conjunction with the explicit time integration scheme. The talk closes with the presentation of several numerical examples including the longitudinal impact of two thick plates, for which analytical solution is available.
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