I want program thin plate for natural frequencies with EFG with penelty method.I have some questions:
1-Is four gauss point enough for programming?
2-I want to find natural frequencies for Fully free thin plate.(ffff)I think for this boundary conditions i dont need use penalty factor.Is it true?(because we dont have to impose b.c there fore we dont need penalty factor)
3-I can not write program for finding gauss point for 10 gauss point in 2D problems.but i saw a program for 4 gauss point.how can i write program for more than 4 gauss point?
Has any one program for thin plate?(with EFG or other methods)
I would say write your integral in the polar form and then you get a rectangular domain. If your origina integrand was f(x,y), your new integrand will be f(x(r,theta),y(r,theta)*r. Then do one more domain transformation to convert to the biunit square. Then you know the qudrature points and their weights.
Re: Evaluation of Gauss Quadratures for a unit circle
You can try the approach in
http://www.math.tamu.edu/~gpetrova/BBGP2.pdf
In reply to Re: Evaluation of Gauss Quadratures for a unit circle by Biswajit Banerjee
Gauss Quadratures
mech.iust.ac.ir
I want program thin plate for natural frequencies with EFG with penelty method.I have some questions:
1-Is four gauss point enough for programming?
2-I want to find natural frequencies for Fully free thin plate.(ffff)I think for this boundary conditions i dont need use penalty factor.Is it true?(because we dont have to impose b.c there fore we dont need penalty factor)
3-I can not write program for finding gauss point for 10 gauss point in 2D problems.but i saw a program for 4 gauss point.how can i write program for more than 4 gauss point?
Has any one program for thin plate?(with EFG or other methods)
(excuse me for my writing!)
Re: Gauss quadrature for a unit circle
I would say write your integral in the polar form and then you get a rectangular domain. If your origina integrand was f(x,y), your new integrand will be f(x(r,theta),y(r,theta)*r. Then do one more domain transformation to convert to the biunit square. Then you know the qudrature points and their weights.