ISSN:
1069-8299
Keywords:
non-linear structural analysis
;
incremental-iterative solution
;
conjugate gradient-like method
;
arc length algorithm
;
snap-through
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A special incremental-iterative solution method for non-linear finite element structural analysis including snap-through is presented. As an alternative to the direct solution methods, a special iterative strategy along with the pseudoload method is employed within each Newton-Raphson iteration step. Two new developments concerning the pseudoload method and the special iterative strategy, which were originally conceived and applied for the non-linear analysis of shells of revolution using a semi-analytical method, are presented. Firstly, the underlying principles of the method are utilized in solving general non-linear structural mechanics problems. Secondly, the capability of the method is enhanced for tracing the load-displacement curve beyond the critical load by integrating the arc length method. Special modifications are proposed to handle situations with a non-positive-definite tangential stiffness matrix. Numerical examples with snap-through and snap-back phases in the load-deflection path are presented to demonstrate the applicability and accuracy of this approach. Results obtained from this numerical study verify the usefulness of this method as an alternative to the conventional direct methods or iterative methods of solving linearized equations in an incremental non-linear analysis.
Additional Material:
7 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1640110809
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