Nonlinear finite elements/Buckling of beams
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Nonlinear post-buckling[edit | edit source]
Newton-Raphson[edit | edit source]
Standard Newton-Raphon methods perform poorly for bucking problems.
Arc length method[edit | edit source]
- Also called Modified Riks Method.
- Control the size of the load step using a parameter .
- Solve for both and in each Newton iteration.
Assume = independent of geometry. Then
can be thought of as a normalized load parameter.
The load increment is computed using
The reference arc length