Hello ,
Thanks for your time to see this question.
The given conditions are stiffness matrix,destination function and x from
Ax=b,x is movement ,b is force,A is global stiffness matrix.
J(x)=||x||norm-1
There is one equation:
dJ(x,θ)/dθ=∂J(x,θ)/∂θ+∂J(x,θ)/∂x
Hello Wolfgang,
The value of A^-1(θ))(-∂A(θ)/∂θ)x is what I would like to obtain.
Thanks in advance!
Best regards
Lance
On Monday, July 24, 2023 at 7:24:53 PM UTC+2 Lance Zhang wrote:
> Hello Wolfgang,
>
> thanks for your reply.
>
> I will follow your point to see if I could find the
Hello Wolfgang,
thanks for your reply.
I will follow your point to see if I could find the solution.
One moire question,how could I get ∂A(θ)/∂θx,because I did not find any
information about density vector like θ=[θ1,θ2,...,θm],may I know if I
have to set density vector value in this finite
The given conditions are stiffness matrix,destination function and x from
Ax=b,x is movement ,b is force,A is global stiffness matrix.
J(x)=||x||norm-1
This is a questionable choice because dJ/dx is not defined at x=0.
There is one equation:
dJ(x,θ)/dθ=∂J(x,θ)/∂θ+∂J(x,θ)/∂x
On 7/24/23 11:24, Lance Zhang wrote:
One moire question,how could I get ∂A(θ)/∂θx,because I did not find any
information about density vector like θ=[θ1,θ2,...,θm],may I know if I have
to set density vector value in this finite element?
Lance -- I have no idea. I don't know the program,
Hello Wolfgang,
thanks for your reply.
Currently,I would like to get the sensitivity by using gradient of
objective function with respect to density.
The Objective function is a vector of movement which is calculated from
Ax=b.
J=|x|norm1 is the objective function.
dJ(x,Θ)/dΘ is the gradient
