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1
Content available The stability of a steel welded girder with bending and shear forces included
Sygulski R., Guminiak M., Polus Ł.
Acta Mechanica et Automatica
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2017
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Vol. 11, no. 1
14--19
EN
The stability of the element of a steel welded girder subjected to bending and shear forces is considered. The considered element is a rectangular plate supported on boundary. The type of a plate boundary conditions depend on the types (thickness) of the stiffeners. Considered plate is loaded by in-plane forces causing bending and shear effects. The Finite Element Method was applied to carry out the analysis. Additionally the Boundary Element Method in terms of boundary-domain integral equation was applied to evaluate the critical shear loading.
2
Content available remote Dynamika dachów pływających w zbiornikach na ciecze od wpływów sejsmicznych
Sygulski R., Kaczor A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
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2008
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z. 74 [258]
309-320
EN
Seismic response of a floating roof covering a cylindrical liquid storage tank is considered. The analysed problem is a coupled problem of the fluid-structure type. A boundary integral equation is used to describe a hydrodynamic pressure of a liquid in the tank. The bottom of the tank and the floating roof surface are discretized using the triangular curvilinear 6-node boundary elements. The BEM is used to find the fluid mass matrix. The flexibility matrix of the roof is calculated using the finite element method computer program. Hydrostatic lift is modeled by analogy to forces of the Winkler foundation. The liquid is assumed to be inviscid and incompressible, the bottom of the tank is treated as rigid. The floating roof of a real structure consisting of a pontoon and a plate is analysed. Having found the natural frequencies and their corresponding mode shapes, the modal analysis of the vibrations of the roof excited horizontally by an earthquake is performed. The equation of motion is integrated using Newmark method. Numerical results of the liquid free surface waves and vibration of the floating roof in a storage tank subjected to real earthquake accelerograms are presented.
3
The analysis of internally supported thin plates by the boundary element method. Part 2 - Free vibration analysis
Guminiak M., Sygulski R.
Foundations of Civil and Environmental Engineering
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2007
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No. 9
43-74
EN
A free vibration analysis of internally supported Kirchhoff plates has been presented in the paper. Using the proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at the plate boundary [26], [31], [32], [34]. Two unknown and independent variables have been considered at the boundary element node. The Bettie theorem has been used to derive the boundary integral equation. The collocation version of boundary element method with elements of "constant" type has been presented. The source points are located slightly outside the plate boundary, hence the quasi-diagonal integrals of fundamental functions are non-singular [27], [31], [32], [34].
4
The analysis of internally supported thin plates by the boundary element method. Part 1 - Static analysis
Guminiak M., Sygulski R.
Foundations of Civil and Environmental Engineering
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2007
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No. 9
17-41
EN
A static analysis of Kirchhoff plates rested on the column supports has been presented in the paper. Using the proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at the plate boundary [14], [18], [19], [22]. Two unknown and independent variables have been considered at the boundary element node. The boundary integral equation has been derived using the Bettie theorem. The collocation points are located slightly outside a plate boundary, hence the quasi-diagonal integrals of fundamental functions are non-singular [15], [18], [19], [22], The constant types boundary element have been used.
5
Content available remote Analysis of free vibrations of floating roofs in tanks
Kaczor A., Sygulski R.
Vibrations in Physical Systems
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2006
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Vol. 22
161--166
6
The initial stability of Kirchhoff plates by the boundary element method using a modified formulation of a boundary condition
Guminiak M., Sygulski R.
Foundations of Civil and Environmental Engineering
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2006
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No. 7
171-186
EN
The initial stability of Kirchhoff plates has been analysed in the paper. Using the proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element node. The boundary integral equations are derived using Bettie theorem. The collocation points arc located slightly outside a plate boundary, hence the quasi-diagonal integrals of fundamental functions arc non-singular. [3], [5], [6], [7], [8]. The constant type of boundary element has been used.
7
Content available Analysis of free vibrations of a plate and fluid in container
Kaczor A., Sygulski R.
Civil and Environmental Engineering Reports
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2005
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No. 1
75-83
EN
The paper concerns the free vibrations of a plate in contact with a fluid in a container. The plate is supported at container walls. The analysed problem is a coupled problem of the structure-liquid type. It is assumed that the fluid is inviscid and incompressible. The side walls of the container are treated as rigid. Action of the fluid on the vibrating plate was described by the boundary integral equation. To solve it the boundary element method was used. Elements of constant type were applied. The plate mass was modelled by the masses concentrated in nodes. The plate flexibility matrix was determined using the FEM program. Numerical examples of the free vibrations of rectangular plates are solved.
PL
W pracy analizuje się drgania płyty w kontakcie z cieczą znajdująca się w zbiorniku. Płyta zamocowana jest w ścianach bocznych zbiornika. Rozważany problem zalicza się do zagadnień drgań sprzężonych typu konstrukcja-ciecz. Przyjęto, że ciecz jest nieściśliwa, a ściany boczne zbiornika są sztywne. Oddziaływanie cieczy na drgającą płytę opisano brzegowym równaniem całkowym. Do jego rozwiązania wykorzystano metodę elementów brzegowych. Zastosowano elementy brzegowe typu "constans". Przyjęto model płyty z masami skupionymi w węzłach. Do wyznaczenia macierzy podatności płyty zastosowano program MES. Zamieszczono przykłady liczbowe drgań własnych prostokątnej płyty w kontakcie z cieczą w zbiorniku. Wpływ cieczy na drgania własne płyty jest duży.
8
Content available remote Free Vibrations of Plate and Fluid in Container
Kaczor A., Sygulski R.
Vibrations in Physical Systems
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2004
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Vol. 21
191--194
9
Content available remote Experimental investigation of membrane structures vibrations in air flow
Sygulski R.
Vibrations in Physical Systems
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2002
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Vol. 20
276--277
10
Content available remote Drgania płyt mostowych pod inercyjnym obciążeniem ruchomym
Litewka P., Sygulski R.
Vibrations in Physical Systems
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2000
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Vol. 19
193--194
11
Content available remote Static and dynamic analysis of bridge slabs by the finite stript method
Litewka P., Sygulski R.
Archives of Civil Engineering
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1999
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Vol. 45, nr 2
259-273
EN
The paper deals with numerical analysis of the statics and free vibration of bridge slabs by the Finite Strip Method. The multi-span slabs are considered. The intermediate supports are provided in the form of columns. In the numerical analysis the reactions from the column onto the slab are modelled as the equivalent uniformly distributed patch loads. In that way the singularity of the bending moment distribution occuring under the point load can be avoided. The equation of free vibration with the flexibility matrix is adopted. The mass model is the simplest possible with masses concentrated in the nodes of rectangular mesh. The numerical results concern several schemes and prove the efficiency of the method.
PL
Praca dotyczy analizy numerycznej statyki i drgań swobodnych płyt mostowych przy zastosowaniu metody pasm skończonych. Rozważa się płyty wieloprzęsłowe. Podporami pośrednimi są słupy. W analizie numerycznej oddziaływanie słupów na płytę zostało modelowane w postaci obciążenia równomiernie rozłożone na powierzchni prostokątnej. W ten sposób uniknięto osobliwości rozkładu momentów zginających występującej pod obciążeniem skupionym. Przyjęto równanie drgań swobodnych z macierzą podatności oraz najprostszy model z masami skupionymi w węzłach siatki prostokątnej. Wyniki numeryczne dotyczą różnych schematów płyt i wskazują na skuteczność metody.
12
Content available remote Drgania własne płyt mostowych metodą pasm skończonych
Litewka P., Sygulski R.
Vibrations in Physical Systems
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1998
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Vol. 18
191--192
13
Content available FEM-BEM coupling in the membrane structure-air interaction problem
Sygulski R.
Journal of Theoretical and Applied Mechanics
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1998
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nr 2
513-520
EN
This paper deals with the interaction problems between the lightweight membrane structure and surrounding air. The coupling of FEM and BEM is described and applied to analysis of aerodynamics of membrane structures. Three methods of FEM-BEM coupling are presented.
PL
Praca dotyczy problemów interakcji lekkich przekryć membranowych i otaczającego powietrza. Omawia się połączenie metody elementów skończonych (MES) i metody elementów brzegowych (MEB) do analizy zagadnień aerodynamiki powłok membranowych. Przedstawiono trzy metody połączenia MES i MEB.
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