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An alternative approach for large deflection analysis of axisymmetric plates on elastic foundation

Research output: Contribution to journalJournal article

Published

Journal publication date08/1994
JournalCommunications in numerical methods in engineering
Journal number8
Volume10
Number of pages10
Pages623-632
Original languageEnglish

Abstract

The geometric non-linear behaviour of thin axisymmetric circular plates on an elastic foundation is studied in the paper by using a boundary integral equation approach. A plate analogue procedure is suggested to simplify the solution. With such simplification, the foundation reaction can be arbitrary functions of plate deflection, rotation and curvatures. The boundary integral equation of thin plates and the fundamental solution of a biharmonic equation are employed for both bending and plane stress analysis. A number of numerical examples are given in the paper to show the effectiveness of the proposed method.