Tracing postbuckling paths of structures containing multi-loops. (English) Zbl 0835.73092
Summary: Most incremental-iterative methods for tracing the postbuckling paths of structures have failed to achieve convergent solutions when the paths make sharp turns in regions where nearby equilibrium paths exist. This is largely due to the fact that iterations are not performed along a correct direction in these regions. To overcome this issue, two parameters for detecting the change in direction of loading and for guiding the direction of iteration are proposed. Also, a unit conversion factor is introduced into the constraint (arc length) equation to make it physically consistent. With these modifications, the present method is capable of tracing the postbuckling paths of structures with multi-loops. A two-member truss, well-known for its looping characteristics in the post-buckling repsonse, has been solved as an illustration.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74G60 | Bifurcation and buckling |
Keywords:
arc length method; snap-through; incremental-iterative methods; direction of loading; direction of iteration; unit conversion factor; two-member trussReferences:
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