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Two Plates impact Problem for Testing Accuracy and Stability of Finite Element Solutions to Wave Propagation
Gabriel, Dušan ; Plešek, Jiří ; Kolman, Radek ; Valeš, František ; Ulbin, M.
The verification of comprehensive study of dispersion properties of two-dimensional bilinear and quadratic serendipity elements in transient elastodynamics on two impact plates problem was performed.
Verifikace výsledků numerické dispersní analýzy na úloze rázu dvou elastických válců
Gabriel, Dušan ; Plešek, Jiří ; Kolman, Radek ; Valeš, František ; Okrouhlík, Miloslav ; Šraml, M.
The numerical dispersion of two-dimensional finite elements was studied. The outcome of this dispersion study was verified by the numerical and analytical solutions to the longitudinal impact of two cylindrical bars. It was shown that the quadratic elements showed better accuracy than the linear ones.
Numerical test of dispersion behavirour of quadratic finite elements
Kolman, Radek ; Plešek, Jiří ; Okrouhlík, Miloslav
Numerical tests are run on the dispersion theory established for qudratic finite elements.
Dispersion Properties of Plane Quadratic Finite Elements in Elastodynamics
Kolman, Radek
Dispersion properties of quadratic finite elements in elastodynamics are derived. The relationship for the determination of the mesh density from the knowledge of the loading spectrum is presented.
Effect of time integration on dispersion properties of quadratic finite elements in elasto-dynamics
Kolman, Radek ; Okrouhlík, Miloslav ; Plešek, Jiří
In the paper, the dispersion relationships of plane quadratic finite elements for central difference method and Newmark's method are derived. The graphs for the mesh density and time step check wtih respect the dispersive behaviour are presented.
Determination of elastic moduli by the resonant ultrasound spectroscopy method
Kolman, Radek ; Plešek, Jiří ; Landa, Michal
An optimization method for the determination of elastic moduli by resonant ultrasound spectrocopy (RUS) was proposed. All components of the fourth-order tensor of elastic moduli for a general anisotropic material is determined from the knowledge of the resonance responce(spectrum) of the mechanical system. This spectrum is obtained from experimental measurements, using the RUS method on the prismatic specimen. For the iterative computation of elastic moduli an identification algorithm based on the direct iteration method is used. Spatial discretisation is performed by the finite element method.
Numerical and experimental study of stress wave propagation in thin steel plate
Kolman, R. ; Kuliš, Z. ; Trnka, Jan ; Plešek, Jiří ; Pták, Svatopluk
The paper deals with the research wave propagation in the thin isotropic plate. The problem is solved both numerically and experimantally. The full- fiel visualisation of the displacements caused by generated waves was carried out by double-pulse holointerferometry. The perpendicular impact to the surface of the plate was generated by means of a sample with an exploding wire. The numerical and experimental results are compared and discused.
Počítačová implementace metody FEM-RUS pro kompositní materiály
Kolman, Radek ; Plešek, Jiří ; Landa, Michal
Fixed point iteration method within the finite element discretization was developed to replace the Levenberg-Marquardt procedure. Application to bicrystals.
Modification Levenberg-Marquardt method RUS for application in the FEM
Plešek, Jiří ; Kolman, Radek ; Landa, Michal
Fixed point iteration method within the finite element discretization was developed to replace the Levenberg-Marquardt procedure Computational aspects.

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24 Kolman, Radek
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