Instability Analysis
Very often a structure fails to meet expected
static load limits predicted by a linear static
analysis. This is because there is an additional
factor to deal with: the structure's elastic
instability.
This
phenomenon becomes more apparent as the structure
being studied becomes slimmer. In such cases small
deformations, caused by a load unbalance, unsymmetrical
residual stress, small pre-existent deformations,
are unable to be balanced by the elastic forces
of the system, increasing until the collapse of
the structure itself.
While simple geometric cases can be foreseen
using analytical formulas, like the classical
example of a pole loaded at the tip, others with
more complexity need a finite element approach.
With this type of analysis, together with the
static linear analysis, the risk can be avoided.
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