Thanks JStephen
Yes indeed, the results of my FE analysis are indeed exact (apart from small numerical errors) and only 1 element should be enough. When using 1 element the derivatives I compute (using Global Finite Differences or the Discrete Semi-Analytical method or the Discrete Analytical...
With exact result, I refer to the derivatives of the analytical Timoshenko beam equations. The elements I use are also of the Timoshenko type, so the results of the FEA should be close to the analytical results. The derivatives I compute by two different methods: 1)Global Finite Differences and...
Thanks Themesgen for your effort. However it's certainly true and useful what you are telling me, it's not what I'm actually looking for. I'm looking for derivatives w.r.t. parameters of my problem. For my simple beam problem these parameters are e.g. the length L of the beam, the...
Maybe somebody can help me out with this (theoretical) question:
When from a Finite Element model you want to calculate derivatives of a nodal displacement w.r.t. a parameter of your model (e.g. you have a simple beam and you want to calculate the derivative of the nodal displacement of the...
Maybe somebody can help me out with this:
When from a Finite Element model you want to calculate derivatives of a nodal displacement w.r.t. a parameter of your model (e.g. you have a simple beam and you want to calculate the derivative of the nodal displacement of the node at the free tip...