Response of Circular Plates Resting on Homogeneous and Isotropic Halfspace

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This paper presents an analysis of circular plates resting on homogeneous, isotropic and elastic halfspace using the finite element method. Emphasis is given to modeling the nonlinear behavior of interface between plate and halfspace using a special interface/joint element. Parametric studies have been performed to assess the effects of several important factors.

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The axially symmetric flexural interaction of a uniformly loaded circular plate resting in smooth contact with an isotropic elastic halfspace is examined by using an energy method. In this development the deflected shape of the plate is represented in the form of a power series expansion which satisfies the kinematic constraints of the plate deformation. The flexural behavior of the plate is described by the classical Poisson-Kirchhoff thin plate theory. Using the energy formulation, analytical solutions are obtained for the maximum deflection, the relative deflection, and the maximum flexural moment in the circular plate. The results derived from the energy method are compared with equivalent results derived from numerical techniques. The solution based on the energy method yields accurate results for a wide range of relative rigidities of practical interest.
The objective of this paper is to present a method for dynamic stress analysis of saturated soil structures subjected to earthquake loading. The soil is idealized as a fluid saturated porous solid. The coupled equations of motion of the finite element discretized system are solved by a step-by-step integration scheme to determine the motion of the constituent materials along with the intergranular stresses and the pore pressure. Finally, some results of an illustrative example of an earth dam-reservoir system are presented and analyzed.
In this paper, the problems of slabs and tanks (either isotropic or orthotropic) resting either on a semi-infinite elastic continuum or on individual springs (of the so-called Winkler's type) are solved by the finite element method. Re-entrant corners, rigid walls on the slabs, concentrated moments due to bending of columns, etc., involve little computational difficulty in the method presented.RésuméDans cette étude, les problèmes de plaques et de réservoirs (isotropes ou orthotropes), reposant soit sur un continuum élastique semi-infini soit sur ressorts individuels (du type que l'on appelle Winkler), sont résolus par la méthode à élément fini. Des coins rentrants, des murs rigides sur plaques, des moments concentrés dûs à la flexion de colonnes, etc., comportent peu de difficultés de calcul dans la méthode avancée.РефератB нacтoящeй paбoтe пpoблeмa плит или бaкoB (изoтpoпныч или opтoтpoпныч) пoкoющичcя нa пoлy-бecкoнeчнoм злacтичнoм кoнтинyyмe или нa oтдeльныч пpyжинaч (тaк нaзыBaeмыe “типa Bинклep”) paзpeщeнa мeтoдoм кoнeчнoгo элeмeнтa. Bчoдящиe yглы, жecткиe cтeнки плит, кoнцeнтpиpoBaнныe мoмeнты oбycлoBлeнныe изгибaниeм кoлoнoк, и т.п.—Bce этo Bлeчeт лишь нeзнaчитeльныe Bычиcлитeльныe зaтpyднeния пpи пpимeнeнии дaннoгo мeтoдa.
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