What Equations Are Solved in Different FEA Analyses?

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Discussion Overview

The discussion revolves around the basic equations solved in various types of Finite Element Analysis (FEA), including Linear Static Analysis, Nonlinear Analysis, Dynamic Analysis, Crash Analysis, Computational Fluid Dynamics (CFD), and Noise, Vibration, and Harshness (NVH) analysis. Participants seek to clarify the fundamental equations associated with these analyses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that in Linear Static Analysis, the basic equation is Kd=f, and for modal analysis, it is M*ddot(x)+ K*x=0.
  • Another participant suggests that the question encompasses a wide scope and implies that multiple equations may exist for each topic listed.
  • There is a suggestion that to understand the equations relevant to CFD and NVH, one should study those subjects in more detail.
  • A request for fundamental references is made to support further study on the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific equations for each type of analysis, and multiple views regarding the breadth of the question remain evident.

Contextual Notes

The discussion highlights the complexity of FEA topics and the potential for multiple equations applicable to each analysis type, indicating that further exploration of each subject may be necessary to gain clarity.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the foundational equations used in various FEA analyses, particularly students or professionals in engineering and applied sciences.

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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