Dynamic-relaxation solutions of elastic-plate problems
- 1 January 1968
- journal article
- Published by SAGE Publications in Journal of Strain Analysis
- Vol. 3 (1) , 23-32
- https://doi.org/10.1243/03093247v031023
Abstract
The analysis of the static deformation of elastic plates is achieved by studying the dynamic problem of the damped oscillation of the plate and arranging that the oscillations are rapidly reduced to zero by a suitable choice of the damping factor. This damped-wave equation, when written in an explicit finite-difference form, can readily be solved on a digital computer. The computer programme has been designed to determine automatically the critical damping factor for a rectangular plate carrying any load distribution and with any combination of edge conditions. The extension of the method to include elastic foundations is also described.Keywords
This publication has 4 references indexed in Scilit:
- Computations for prestressed concrete reactor pressure vessels using dynamic relaxationNuclear Structural Engineering, 1965
- BENDING OF A SQUARE PLATE WITH TWO ADJACENT EDGES FREE AND THE OTHERS CLAMPED OR SIMPLY SUPPORTEDAIAA Journal, 1963
- A Study of the Cantilevered Square Plate Subjected to a Uniform LoadingJournal of the Aerospace Sciences, 1962
- A Study of the Various Boundary Conditions for Electrical Analogue Solutions of the Extension and Flexure of Flat PlatesAeronautical Quarterly, 1961