Non-Linear Stiffnesses in Analysis of Planar Frames
Resource
Computer Methods in Applied Mechanics and Engineering, v.117 p.233-247
Journal
Computer Methods in Applied Mechanics and Engineering
Journal Volume
v.117 p.233-247
Pages
-
Date Issued
1994
Date
1994
Author(s)
Yang, Yeong-Bin
Abstract
This paper presents an approach for analyzing the geometrically non-linear behavior of elastic planar frames based on continuum mechanics principles. With the inclusion of non-linear stiffness matrices, the effects of bowing and rotation are taken into account in the calculation of element forces. Such non-linear stiffness matrices have also enabled the element, which in general is acted upon by a set of self-equilibrating nodal forces, to pass the rigid body test in the non-linear sense. In an incremental-iterative non-linear analysis, distinction must be made between the 'predictor' and 'corrector' phase. The former deals with the solution of structural displacements from the structure equations, while the latter is concerned with the calculation of element forces from element displacements. It is the latter that governs the accuracy of an incremental-iterative non-linear analysis. Numerical examples demonstrate that equations of higher-order accuracy should be used in the corrector phase to avoid possible errors. © 1994.
Type
journal article