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1
Content available remote An alternative approach to initial stability analysis of Kirchhoff plates resting on internal supports by the boundary element method
Guminiak M.
Engineering Transactions
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2015
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Vol. 63, iss. 3
273--296
EN
An initial stability of Kirchhoff plates supported on boundary and resting on internal supports is analysed in this paper. The internal supports are understood to be part of a plate surface or a line belonging to the plate. The proposed approach avoids Kirchhoff forces at the plate corner and equivalent shear forces at the plate boundary. Two unknown and independent variables are always considered at a boundary element node depending on the type of a plate edge such as the shear force and bending moment for a clamped edge, and the shear force and angle of rotation in normal direction for a simply-supported edge. For a free edge, the deflection and angle of rotation in normal direction are considered as two independent variables with additional angle of rotation in tangent direction which depends on boundary deflections. The two governing integral equations are derived using Betti’s theorem. These equations have the form of boundary-domain integral equations. The constant type of boundary element is used. The singular and non-singular formulations of the boundary-domain integral equations with one and two collocation points associated with a single boundary element located slightly outside of a plate edge are presented. To establish a plate curvature by double differentiation of the basic boundary-domain integral equation, the plate domain is divided into rectangular subdomains associated with suitable collocation points. According to the alternative approach, a plate curvature is also established by considering three collocation points located in close proximity to each other along a line parallel to one of the two axes of global coordinate system and establishment of appropriate difference operators.
2
Content available remote An Alternative Approach of Initial Stability Analysis of Kirchhoff Plates by the Boundary Element Method
Guminiak M.
Engineering Transactions
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2014
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Vol. 62, iss. 1
33--59
EN
An initial stability of Kirchhoff plates is analysed in the paper. Proposed approach avoids 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 governing integral equations are derived using Betti theorem. The integral equations have the form of boundary and domain integral equations. The constant type of boundary element are used. The singular and non-singular formulation of the boundary-domain integral equations with one and two collocation points associated with a single boundary element located at a plate edge are presented. To establish a plate curvature by double differentiation of basic boundary-domain integral equation, a plate domain is divided into rectangular sub-domains associated with suitable collocation points. A plate curvature can also be establish by considering three collocation points located in close proximity to each other along line pararel to one of the two axes of global coordinate system and establishment of appropriate differential operators.
3
Analiza stateczności początkowej podczas zatapiania siłowni głównej okrętu
Mironiuk W., Łosiewicz Z.
Logistyka
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2012
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nr 3
PL
Każde uszkodzenie poszycia kadłuba okrętowego wywołuje określone skutki w postaci zalania wodą jednego lub kilku przedziałów wodoszczelnych, i tym samym powoduje zmiany stateczności i położenia okrętu. Określenie tych zmian stanowi sedno obliczeń niezatapialnościowych wiążących się z eksploatacją okrętu uszkodzonego. W referacie przedstawiono metodykę obliczeń wysokości metacentrycznej oraz położenia okrętu podczas zalewania uszkodzonego przedziału. Zaprezentowano opracowany program komputerowy do symulacji zatapiania uszkodzonego przedziału oraz dokonano określenia wysokości metacentrycznej podczas zatapiania siłowni głównej.
EN
The each damage of a ship’s body causes flooding to compartments and changes stability parameters and a ship position. The knowledge of stability parameters is very important for the commanding officer making decisions while fighting for unsinkability and survival of the ship. The paper presents computational method which was designed to provide information about possibility of calculation stability parameters. On the basic of the built computer program, a simulation of the flooding process of damaged compartments engine room was shown.
4
Content available Cassette pontoon bridge of high mobility
Derewenko A., Niezgoda T., Kosiuczenko K., Bogusz P.
Transport Problems
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2011
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T. 6, z. 1
97-103
EN
Looking through the known and used buoyant systems, it can be remarked that the single buoyant segments are the stiff objects made of steel or plastic with variable dimensions and a complex construction. The ready to use buoyant segments, that assure the proper displacement, must have the factory leak-tightness. They take up a big transportation volume and need the assurance of the suitably abundant means of transport. Usually the heavy wheeled vehicles are needed because of high own mass of buoyant segment and large gauges. The exploitation of such constructions is very expensive. A cassette pontoon bridge, presented in this paper, is the proposition of the increase of the mobility of construction. The decrease of the single buoyant segment dimensions with the assurance of the capacity leads that more segments fit into in the same dimensions of the loading compartment of the vehicle and storage accommodation. The application of standardized joints assures the assembly efficiency with not numerous crew.
5
Content available remote Initial stability analysis of plates considering continuous internal supports by the BEM
Guminiak M.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2009
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Vol. 8, nr 1
47-62
EN
An initial stability of Kirchhoff plates is presented in the paper. Using proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown and independent variables are considered at the boundary element node. The Bettie theorem is used to derive the boundary integral equation. The collocation version of boundary element method with "constant" type of elements is presented. The source points are located slightly outside a plate boundary, hence the quasi diagonal integrals of fundamental functions are non-singular. To describe a plate curvature, the set of internal collocation points is introduced.
6
The analysis of internally supported thin plates by the boundary element method. Part 3 - Initial stability analysis
Guminiak M., Jankowiak T.
Foundations of Civil and Environmental Engineering
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2007
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No. 10
51-67
EN
An initial stability of internally supported 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 the plate boundary. Two unknown variables are considered at the boundary clement node. The boundary integral equation is derived using the Bettie theorem. The collocation points arc located slightly outside the plate boundary, hence the quasi-diagonal integrals of fundamental functions are non-singular. The constant type of boundary clement is used.
7
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.
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