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Guenfoud, Salah
Preferred name
Guenfoud, Salah
Official Name
Guenfoud, Salah
Research Output
Now showing 1 - 4 of 4
- PublicationDynamic analysis of a plate resting on elastic half-space with distributive properties(2014-08-28)
; ; This work gives a semi-analytical approach for the dynamic analysis of a plate resting on an elastic, half-space with distributive properties. Such calculations have been associated with significant mathematical challenges, often leading to unrealizable computing processes. Therefore, the dynamic analysis of beams and plates interacting with the surfaces of elastic foundations has to date not been completely solved. To advance this work, the deflections of the plate are determined by the Ritz method, and the displacements of the surface of elastic foundation are determined by studying Green's function. The coupling of these two studies is achieved by a mixed method, known in the theory of elasticity as Zhemochkin’s method, which allows determination of reactive forces in the contact zone and, hence, the determination of other physical magnitudes. The obtained solutions can be applied to study the dynamic interaction between soils and structures and to assess numerical computations through various numerical methods programs. Natural frequencies, natural shapes, and the dynamic response of a plate due to external harmonic excitation are determined. Validation with a Winkler problem illustrates the distributive property effects on the results of the dynamic analysis.169 - PublicationDynamic analysis of a beam resting on an elastic half-space with inertial propertiesThis work gives a semi-analytical approach for the dynamic analysis of beams and plates rest-ing on an elastic half-space with inertial properties. Such calculations have been associated with significant mathematical challenges, often leading to unrealizable computing processes. Therefore, this paper presents a detailed analysis of Green’s function defining surface displacements of such a space in the contact zone with structures, which allows determination of reactive forces and other physical responses. The obtained solutions can be applied to (i) study dynamic interaction between soil and structures, (ii) determine transient wave fields caused by a seismic source, and (iii) assess numerical computations with different numerical methods programs. Natural frequencies, natural shapes, and the dynamic response of a beam due to external harmonic excitation are determined. Eigenfrequencies and Eigenshapes are presented. Validation with a Boussinesq problem illustrates the inertia effect on the results of the dynamic analysis.
1181Scopus© Citations 5 - PublicationA Ritz’s method based solution for the contact problem of a deformable rectangular plate on an elastic quarter-spaceIn this article, Ritz’s method is used to calculate with unprecedented accuracy the displacements related to a deformable rectangular plate resting on the surface of an elastic quarter-space. To achieve this required three basic steps. The first step involved the study of Green’s function describing the vertical displacements of the surface of an elastic quarter-space due to vertical force applied on its surface. For this case, an explicit formula was obtained by analytically resolving a complicated integral that did not previously have an analytical solution. The second step involved the study of the coupled system of a plate and an elastic quarter-space. This portion focused on determining reactive forces in the contact zone based on Hetenyi’s solution. After determination of the reactive forces, certain features were attributed to the plate’s edges. The final step involved the application of Ritz’s method to determine the deflections of the plate resting on the surface of the quarter-space. Finally, an example calculation and validation of results are given. This is the first semi-analytical solution proposed for this type of contact problem.
1645Scopus© Citations 16 - PublicationHomogenization of a Composite, Multi-Girder Bridge Deck as an Equivalent Orthotropic Plate(2014-12-04)
; ; ; Most bridge decks are orthotropic, because of the orthotropic nature of their component parts (e.g. isotropic slabs, grillages, T-beam bridge decks, multi-beam bridge decks, multi-cell boxbeam bridge, and slabs stiffened with ribs of box section). Thus, the orthotropic plate theory plays an important role in the static and dynamic analysis of bridges. For example, a multicellular Fiber Reinforced Polymer (FRP) composite bridge deck can be modeled as an orthotropic plate with equivalent stiffnesses that account for the size, shape, and constituent materials of the cellular deck. Thus, the complexity of material anisotropy of the panels and orthotropic structure of the deck system can be reduced to an equivalent orthotropic plate with global elastic properties in two orthogonal directions – parallel and transverse to the longitudinal axis of the deck cell. This paper investigates a homogenization of composite, orthotropic, three-span, multi-girder bridge to explore the concept of the volumetric and mass fractions of a reinforced composite material. This homogenization takes into account all properties of this composite structure (deck slab, girders and diaphragms). From those, all the equivalent orthotropic plate properties were obtained. The work is highly relevant with respect to evaluating the dynamic interaction between bridges and vehicles.166