Create pde as structural dynamic problem
1 次查看(过去 30 天)
显示 更早的评论
Hello all again:
I have a system of PDEs described as follows:
syms pres
syms u1(x,y,t) u2(x,y,t)
pdeeq = [-laplacian(u1,[x y])+u2; D*laplacian(u2,[x y])+ mass*diff(u1,t,t)-pres];
symcoeffs = pdeCoefficients(pdeeq,[u1,u2],'Symbolic',true);
c2=symcoeffs.c;
And as I need to apply Craig-Bampton reduction method, I was thinking whether it could be possible to define the model as model = createpde("structural","transient-plainstress");
REading the documentation, I think I have understood that the analysis of structural PDE follows the formulas o Linear elacticity : −∇·σ=f.
In that expression the laplacian is not used, so I guess I cannot express my problem in terms that will allow me to use the command: createpde("structural","transient-plainstress");
Is there any way of being able to use that command?
Thanks very much
0 个评论
采纳的回答
Raghav
2023-8-4
Hi Jorge,
The “createpde” function in MATLAB is primarily used for solving linear elasticity problems in the context of structural mechanics. The equation you have provided, which involves the Laplacian operator, does not directly fit into the framework of linear elasticity.
To use the “createpde” function with the "structural" option, you would need to express your problem in terms of the linear elasticity equation, which is of the form:
−∇·σ = f
This equation represents the balance of linear momentum, where σ is the stress tensor and f is the body force.
There are other alternative approaches you can consider for solving your system of PDEs like Finite Element Method.
Please refer to the below documentation:
Hope it helps,
Best Regards,
Raghav Bansal
MathWorks Technical Support
0 个评论
更多回答(0 个)
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 General PDEs 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!