Triangular thick plate stiffness matrix transformation

AI Thread Summary
The discussion centers on the use of a specific shape function, Ni = ai + bi*x + ci*y, for formulating the stiffness matrix of thick triangular plates. There is uncertainty about whether this stiffness matrix needs to be transformed into global coordinates, especially since the local edges of the triangle are consistently aligned with the global X-axis in the illustrations. The poster questions if this alignment is coincidental or if a transformation is necessary for accuracy. Additionally, they seek guidance on how to perform this transformation, particularly regarding the selection of a base point for rotation. Clarification on these points would enhance understanding of the stiffness matrix application in this context.
Ronankeating
Messages
62
Reaction score
0
Hi community member,

Regarding the book that I'm reading original writer has used Ni = ai + bi*x + ci*y shape function for the formulation of stiffness matrix for thick triangular plates.

The writer has not mentioned in the article that the resulting stiffness matrix is required to be transformed to global coordinates. What arised my suspicion was, in the illustrations local 1-2 edge of triangle is always aligned to global X-axis. Is it coincidental or "must" to perform the transformation to that specific shape function?

If transformation is required at all to match the exact illustrations, how should be performed, I mean how to choose the base point for rotation, rotation around any arbitrary vertex will work ?


Best Regards,
 
Engineering news on Phys.org
Any comment will be appreciated!
 

Thread 'Race car suspension Class'

Posted June 2024 - 15 years after starting this class. I have learned a whole lot. To get to the short course on making your stock car, late model, hobby stock E-mod handle, look at the index below. Read all posts on Roll Center, Jacking effect and Why does car drive straight to the wall when I gas it? Also read You really have two race cars. This will cover 90% of problems you have. Simply put, the car pushes going in and is loose coming out. You do not have enuff downforce on the right...
View full post »

Thread 'Cantilever help'

I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
View full post »
Thread 'What's the most likely cause for this carbon seal crack?'

Thread 'What's the most likely cause for this carbon seal crack?'

We have a molded carbon graphite seal that is used in an inline axial piston, variable displacement hydraulic pump. One of our customers reported that, when using the “A” parts in the past, they only needed to replace them due to normal wear. However, after switching to our parts, the replacement cycle seems to be much shorter due to “broken” or “cracked” failures. This issue was identified after hydraulic fluid leakage was observed. According to their records, the same problem has occurred...
View full post »

Similar threads

Stiffness matrix of bending plate
Replies
4
Views
5K
FEM derivation for plates on elastic foundation ?
Replies
4
Views
4K
What is the CORDIC Algorithm and How Does it Work?
Replies
1
Views
3K
Chemically regenerating my auto's catalytic converter?
Replies
19
Views
7K
Which Papers Will Shape Future Quantum Gravity Research?
Replies
2
Views
3K
Is there a quatum of torsion in Cartan Einstein Gravity? What is its spin?
Replies
12
Views
6K
Could New Materials Propel China's Industry to Bill Gates-Level Success?
Replies
4
Views
10K
Which Morelia audios are available?
Replies
6
Views
3K
Are Women and New Researchers Shaping the Future of Quantum Gravity Studies?
Replies
24
Views
8K
Do Movies Teach Us Realistic Life Skills?
Replies
1
Views
10K

Hot Threads

Recent Insights

Back
Top