What Equations Are Solved in Different FEA Analyses?

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The discussion focuses on the basic equations solved in various Finite Element Analysis (FEA) types, including Linear Static, Nonlinear, Dynamic, Crash, CFD, and NVH analyses. The main equation for Linear Static Analysis is Kd=f, while for modal analysis, it is M*ddot(x)+ K*x=0. The conversation highlights that each analysis type may involve multiple equations and emphasizes the need for deeper study into each specific area. Participants suggest consulting references, including those listed at the end of the Wikipedia article on the Finite Element Method, for further information. Understanding the fundamental equations in FEA requires a targeted approach to each analysis type.
sunny110
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Hello; I have a basic question from FEA theory.
What are the basic equations solved during ..
a. Linear Static Analysis
b. Nonlinear analysis
b. Dynamic Analysis
c. Crash analysis
d. CFD
e. NVH

I also have a look at a wikipedia article about FEM (http://en.wikipedia.org/wiki/Finite_element_method) but my question is what is the basic equation solved during NVH analysis?

As you know, in linear static analysis the basic equation is Kd=f; or for modal analysis we have M*ddot(x)+ K*x=0;

Thanks in advance.
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You have asked for a pretty wide scope of information. It's like asking someone to list every equation used in physics in a blog post.

In some of the topics you list, there may be more than one equation or type of equation which is being solved.

The finite element method is a tool. If you want to know what equations apply to what topic (CFD, NVH, etc.), then study that particular subject in more detail.
 
SteamKing said:
If you want to know what equations apply to what topic (CFD, NVH, etc.), then study that particular subject in more detail.

Thanks for your reply. I followe your advice but could you introduce me some fundamental references?
 
sunny110 said:
Thanks for your reply. I followe your advice but could you introduce me some fundamental references?

You could take a look at the references at the end of the wikipedia article on the Finite Element Method. It should be a good starting point.
 
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