There is no natural boundary condition at x=0. Here you have to understand the difference between the Natural BCs and the Essential BCs. We are solving in weak form and while solving we can directly use the boundary conditions ( here it happen to be at x=L, it might also be x=0 ) and naturally the BC is taken into your problem. But the prime motive is to solve for u in the weak form of the equation. Here you have to assume shape function and this must satisfy the other BC(the other is already taken into weak form). Since We have to choose shape function based on this BC,it is the Essential Boundary Conditions. Having said about the BC types lets come to the question. If in the weak form we had a term containing the u(x=0),then we can directly substitute u(0)=0 (which is the BC at x=0) and this would be natural BC. But actually we do not have such a term here. So it is not a natural Boundary Condition!
Finally getting the grasp of the method. He is damn good of a teacher. Explain everything so clearly.
How can I contact this smart man? I have several questions about FEM - weak formulation when there is given system of equations.
in 27.27 time, why phi j dash and why a das(x) ?
phi j dash because we have to substitute the assumed u in place of u dash. that a dash is probably wrong
because u' = c*phi'
what about natural boundary condition at x=0 ?
There is no natural boundary condition at x=0.
Here you have to understand the difference between the Natural BCs and the Essential BCs. We are solving in weak form and while solving we can directly use the boundary conditions ( here it happen to be at x=L, it might also be x=0 ) and naturally the BC is taken into your problem. But the prime motive is to solve for u in the weak form of the equation. Here you have to assume shape function and this must satisfy the other BC(the other is already taken into weak form). Since We have to choose shape function based on this BC,it is the Essential Boundary Conditions.
Having said about the BC types lets come to the question. If in the weak form we had a term containing the u(x=0),then we can directly substitute u(0)=0 (which is the BC at x=0) and this would be natural BC. But actually we do not have such a term here. So it is not a natural Boundary Condition!
Paass hua ya fail bhaii???
Is there any other teacher teaching the fea??
The University of Michigan has a FEM course, available on TH-cam or Coursera
Thanks a lot sirrr
th-cam.com/video/vFDMaHQ4kW8/w-d-xo.html 💐..
Bada jhatu subject hai bhai😢
Bro konse college se ho??