No, I dont approximate shear with hermites. Sher is derivative of moment so it isn't approximated with cubic function. But shear appears as a nodal parameter. M and Q are like deflections w and slope fi in dispalement method.
Sorry I mean linear functions only for moment. In this case the Shear should have been omitted.
Just a few second ago I have tried my algorithm without uniform load q (only with concentrated force). The solution was exact for all quantities, even for M and Q!!! I think this is because of strong...
I am learning from "Advanced Finite Element Methods (ASEN 5367)" Carlos A. Felippa
http://www.colorado.edu/engineering/CAS/courses.d/AFEM.d/Home.html
, but I discretize Hellinger-Reissner functional by myself so I can't be sure that it is good. Why can't I use cubic functions to approximate the...
Maybe I have to big requirements to convergence. w and fi are exact even for one element at the end of cantilever. I though that for this simple problem also M and Q will have such a good convergence in fixed end, but for exemple when I have 10 elements there should be 17 kN but I have only...
I use Hermite interpolation also for Moment and Shear. I use mixed methods for thin beam formulation becouse I'm only learning about FEM :) and I'm very curious why it isn't working well. Thank you for your replies!
Stiffness matrix of element is 8x8 K={{Dmm,Dwm},{Dwm^T,0}} Dmm and Dwm and 0 is 4x4 and the rank of K is 6 but after enforce kinematic boundary conditions (w1=fi1=0)the rank of K is of course 8. Vector d=[Mi,Qi,Mj,Qj,wi,(fi)i,wj,(fi)j]^T and f=[0,0,0,0,f1,f2,f3,f4]^T and K.d=f. I don't enforce...
Hello everyone, I have one problem:
I'm trying to make a FEM algorithm for Euler-Bernoulli cantilever beam based on Hellinger-Reissner principle with Hermite interpolation. Even though I obtain a very good convergence for displacements and quite good for rotations, the convergence for bending...
