Finite element result in arbitrary point

In summary, the conversation discusses the best approach for calculating results in arbitrary points from a finite element analysis. Suggestions include using shape functions or a weighted average based on integration points or nodes. The use of interpolation is also mentioned as a viable option.
  • #1
johan_ekh
4
0
Hi all,
I have to write a small program that reads the results from a finite
element analysis and calculates some results in arbitrary points.
The results could be either nodal or element based.

What would be the best approach to do this?

I've thought about using the shape functions to calculate the
results but in a general 3D model with curved element edges I
don't even know how to determine what element the arbitrary
point belongs to.

Another idea would be to forget about the shape functions and
use a weighted average based on either the integration points
or the nodes, but would that be accurate?

Any suggestions are welcome!


Johan
 
Engineering news on Phys.org
  • #2
hihi johan, IMO the interpolation method is a good try, and the result is good enough for engineering purpose(as long as the FE result set is good enough). Most stresses are smooth and it is reasonable to interpolate
 

1. What is meant by "finite element result in arbitrary point"?

"Finite element result in arbitrary point" refers to the numerical calculation of the physical behavior of a system at a specific point using the finite element method. This method breaks down a complex system into smaller, simpler parts to analyze its behavior.

2. How is the finite element method used to calculate results at arbitrary points?

The finite element method uses mathematical equations and algorithms to calculate the behavior of a system at a specific point. It divides the system into smaller, simpler elements, and then solves the equations for each element. The results from each element are combined to determine the behavior at the arbitrary point.

3. What are the advantages of using the finite element method to calculate results at arbitrary points?

The finite element method allows for a more accurate and detailed analysis of the behavior of a system. It can handle complex geometries and boundary conditions, and can also account for material properties and loading conditions. Additionally, the method is computationally efficient and can be easily adapted for different types of systems.

4. Are there any limitations to using the finite element method for calculating results at arbitrary points?

While the finite element method is a powerful tool, it does have some limitations. For example, it may not be suitable for systems with extreme nonlinear behavior or discontinuities. It also requires a significant amount of computational resources and expertise to set up and analyze the results.

5. How can the accuracy of finite element results at arbitrary points be verified?

The accuracy of finite element results at arbitrary points can be verified through experimental testing and comparison to analytical solutions. Additionally, the results can be checked by refining the mesh and ensuring convergence of the solution. Sensitivity analyses can also be performed to assess the impact of different parameters on the results.

Similar threads

The 8 Mode Shapes of a plane finite element
    • Mechanical Engineering
Replies
2
Views
841
A When should you use more mesh elements in the finite element method?
    • Differential Equations
Replies
9
Views
2K
Corrugated tube (bellow) under axial load
    • Mechanical Engineering
Replies
2
Views
885
Tetrahedron Simplex Shape Functions in FEA
    • Mechanical Engineering
Replies
2
Views
709
Modal mass and kinetic energy in FEM modal analysis
    • Mechanical Engineering
Replies
3
Views
2K
ANSYS Workbench and MESH200 Elements: EMODIF
    • Mechanical Engineering
Replies
1
Views
7K
Stiffness Matrix for Linear Tetrahedral Element
    • Mechanical Engineering
Replies
5
Views
6K
Dynamic Structural Analysis Using Finite Element Method
    • Mechanical Engineering
Replies
7
Views
4K
Stiffness matrix in finite element method
    • Mechanical Engineering
Replies
3
Views
9K
Maple Boundary finite element method in Maple
    • MATLAB, Maple, Mathematica, LaTeX
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top