team:gdeliege:nnm
Differences
This shows you the differences between two versions of the page.
Both sides previous revisionPrevious revisionNext revision | Previous revisionNext revisionBoth sides next revision | ||
team:gdeliege:nnm [2015/08/13 11:43] – geoffrey | team:gdeliege:nnm [2015/08/14 07:25] – geoffrey | ||
---|---|---|---|
Line 6: | Line 6: | ||
This is one of the research topics of the | This is one of the research topics of the | ||
[[http:// | [[http:// | ||
- | Actually, I knew nothing | + | Actually, I knew nothing |
told me about it | told me about it | ||
and about the nonlinear equations he wanted to solve with finite elements. | and about the nonlinear equations he wanted to solve with finite elements. | ||
Line 62: | Line 62: | ||
I also attempted to solve a 6-DOF system corresponding to a cantilever beam. This requires the solution of a system of 10 equations with 10 unknown fields. | I also attempted to solve a 6-DOF system corresponding to a cantilever beam. This requires the solution of a system of 10 equations with 10 unknown fields. | ||
Although my code has been designed to allow the definition of an arbitrary number of unknown fields, I had never tried more than 2 or 3 fields coupled in one single formulation. The Jacobian matrix for the Newton-Raphson algorithm is written below; I wrote a Python script to define this formulation in my code avoiding copy-paste errors. | Although my code has been designed to allow the definition of an arbitrary number of unknown fields, I had never tried more than 2 or 3 fields coupled in one single formulation. The Jacobian matrix for the Newton-Raphson algorithm is written below; I wrote a Python script to define this formulation in my code avoiding copy-paste errors. | ||
- | To my own surprise, it worked, although efficiency issues | + | To my own surprise, it worked, although efficiency issues |
{{ : | {{ : | ||
Line 69: | Line 69: | ||
[1] L. Renson, G. Deliége, G. Kerschen. //An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems.// Meccanica, vol. 49(8), pp. 1901-1916, 2014. \\ | [1] L. Renson, G. Deliége, G. Kerschen. //An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems.// Meccanica, vol. 49(8), pp. 1901-1916, 2014. \\ | ||
[2] L. Renson. //Nonlinear Modal Analysis of Conservative and Nonconservative Aerospace Structures.// | [2] L. Renson. //Nonlinear Modal Analysis of Conservative and Nonconservative Aerospace Structures.// | ||
+ | \\ | ||
+ | [[team: | ||
team/gdeliege/nnm.txt · Last modified: 2016/03/30 15:23 by 127.0.0.1