Application of the homogenization techniques to the determination of the effective flexure constants of plate structural systems

Samartín, Avelino and Lobo, Miguel and García Palacios, Jaime (2002). Application of the homogenization techniques to the determination of the effective flexure constants of plate structural systems. In: "International IASS symposium on lightweight structures in civil engineering", 24-28 de Junio, 2002, Varsovia (Polonia). ISBN 83-908867-6-6. pp. 334-345.

Description

Title: Application of the homogenization techniques to the determination of the effective flexure constants of plate structural systems
Author/s:
  • Samartín, Avelino
  • Lobo, Miguel
  • García Palacios, Jaime
Item Type: Presentation at Congress or Conference (Article)
Event Title: International IASS symposium on lightweight structures in civil engineering
Event Dates: 24-28 de Junio, 2002
Event Location: Varsovia (Polonia)
Title of Book: Lightweight structures in civil engineering : Proceedings of the international IASS symposium on lightweight structures in civil engineering
Date: 2002
ISBN: 83-908867-6-6
Subjects:
Freetext Keywords: Reissner-Mindlin plate, Finite elements, homogenization, effective constants
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A Mindlin plate with periodically distributed ribs patterns is analyzed by using homogenization techniques based on asymptotic expansion methods. The stiffness matrix of the homogenized plate is found to be dependent on the geometrical characteristics of the periodical cell, i.e. its skewness, plan shape, thickness variation etc. and on the plate material elastic constants. The computation of this plate stiffness matrix is carried out by averaging over the cell domain some solutions of different periodical boundary value problems. These boundary value problems are defined in variational form by linear first order differential operators on the cell domain and the boundary conditions of the variational equation correspond to a periodic structural problem. The elements of the stiffness matrix of homogenized plate are obtained by linear combinations of the averaged solution functions of the above mentioned boundary value problems. Finally, an illustrative example of application of this homogenization technique to hollowed plates and plate structures with ribs patterns regularly arranged over its area is shown. The possibility of using in the profesional practice the present procedure to the actual analysis of floors of typical buildings is also emphasized.

More information

Item ID: 41660
DC Identifier: http://oa.upm.es/41660/
OAI Identifier: oai:oa.upm.es:41660
Deposited by: Biblioteca ETSI Caminos
Deposited on: 23 Jun 2016 05:33
Last Modified: 23 Jun 2016 05:33
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