I just want to know which tool is used more for the fea non linear simulations. And the reason behind why we use that tool.
I would recommend you either Matlab/SIMULINK or Maple, depends on whether you are more interested in the simulations or in the computations.
If you only need to simulate how nonlinear systems behave, without for example knowing really a solution to some nonlinear equations, then Matlab is better.
If you need to find for example an (analytic/numeric) solution to some nonlinear (differential) equation(s), Maple is more suitable.
Hi pal, well as a matter of fact I think non linear analysis could be challenging and if you don't use appropriate tools when there are too many variables of interest it can become really time consuming. So I suggest to use parallel programming algorithms for solving these kind of problems. When you have the parallel programing code it can be use in Maple software for solving these kind of problems.
I corroborate Amir Adib, really there are many variables of interest in a nonlinear dynamics. However if you know what you inspect in a system such as bifurcation, synchronizaiton, stability, you would be able to narrowed your subject. I suggest XPPAUT program for phase plane analysis, stability, bifurcation diagram, etc. You will find many documents about it. Also I suggest a popular nonlinear dynamics book from Steven H. Strogatz.
http://www.math.pitt.edu/~bard/xpp/xpp.html
http://www.stevenstrogatz.com/books/nonlinear-dynamics-and-chaos-with-applications-to-physics-biology-chemistry-and-engineering
Lyapunov stability analysis should be also mentioned. Or are you asking about software?
I would recommend you either Matlab/SIMULINK or Maple, depends on whether you are more interested in the simulations or in the computations.
If you only need to simulate how nonlinear systems behave, without for example knowing really a solution to some nonlinear equations, then Matlab is better.
If you need to find for example an (analytic/numeric) solution to some nonlinear (differential) equation(s), Maple is more suitable.
Your question mentioned nonlinear FEA analysis, and was tagged with automotive engineering, but didn't say what you hope to learn from your analysis. So I'm going to assume that you're interested in modeling and simulation of nonlinear pde models as they would arise in materials, heat transfer, and fluid flow problems.
With that assumption, ANSYS, COMSOL, and ABAQUS are commonly used tools with excellent support in these types of applications, and solvers specifically tuned to FEA methods. The COMSOL scripting language is similar to Matlab. COMSOL and Matlab are frequently used together to provide interactive pre- and post-processing in Matlab, and efficient modeling and simulation in COMSOL.
COMSOL has a made a lot of inroads in universities in recent years and is known for its 'multiphysics' approach.
http://www.ansys.com/
http://www.comsol.com/
http://www.3ds.com/products-services/simulia/products/abaqus/latest-release/
Ramesh, no disagreements from here. That's a factor that should be considered along with how the tool fits the intended application, cost of acquisition, training, and support.
This paper may be useful:
https://www.researchgate.net/publication/267482608_Wavelet-Based_Method_for_Damage_Detection_of_Nonlinear_Structures?ev=prf_pub
Article Wavelet-Based Method for Damage Detection of Nonlinear Structures
I would like to suggest ANSYS 14.0 Mechanical APDL or ETABS for non linear simulations are both are robust and have wide range of options. You can get all kind of results required through it.
http://static.aminer.org/pdf/PDF/000/367/460/automatic_analysis_of_composite_solvers.pdf
https://www.youtube.com/watch?v=7ePBKlkGFqE
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