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Geometric nonlinearity

I am trying to write my own code for geometrically nonlinear analysis of mixed structures (cables, trusses, beams...). I would like to have it as general as possible ie. applicable also to 2D and 3D solids. I am trying to follow nonincremental Newton Raphson procedure from Ansys theory manual, but my computation are not converging.. Can I kindly ask you for advice ?

Here is my flow:

=== Linear analysis ===

(1) inv Kt *F = du

resluts are correct comparing to Ansys

=== Nonlinear analysis ===

while (F_ext - F_int) < 1e-3

(2) u = u +du

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