Exact straight-line elements
- 1 April 1980
- journal article
- research article
- Published by SAGE Publications in The Journal of Strain Analysis for Engineering Design
- Vol. 15 (2) , 89-96
- https://doi.org/10.1243/03093247v152089
Abstract
A method of obtaining exact finite element stiffnesses directly from governing differential equations is explained; another method which uses the column analogy is indicated. These can both be modified by matrix manipulation to allow for relaxed restraint conditions. Exact stiffness matrices are given for the straight prismatic beam, the beam-column (or tie), the vibrating beam-column (or tie), the tapered beam and the annular slab. They are compared briefly with matrices obtained from simple polynomial approximations. Further exact finite elements are possible; they minimize convergence problems and their wider usage is advocated.Keywords
This publication has 2 references indexed in Scilit:
- Framework instability analysis using Blaszkowiak's stiffness functionsInternational Journal of Mechanical Sciences, 1979
- ANALYSIS OF AXISYMMETRICAL SHELLS BY THE DIRECT STIFFNESS METHODAIAA Journal, 1963