Finite Element Analysis for simple structures in MATLAB vs. SolidWorks vs. Abaqus скачать в хорошем качестве

Finite Element Analysis for simple structures in MATLAB vs. SolidWorks vs. Abaqus

In this video, which I have produced primarily to assist undergraduate learners on the 43018 Dynamic Systems and Control B subject at UTS but which can also be useful to others, I investigate the use of MATLAB, SolidWorks and Abaqus for the prediction of frequencies and mode shapes. The question is a relatively simple beam in steel with a cross-section of 50 mm w by 3 mm deep. We can, therefore determine the area, A, and second moment of area ("inertia"), I. Using these, MATLAB can readily predict the frequencies by building the transverse equations of motion from the mass and stiffness matrix formulations for transverse beam elements. Subsequently, I model the same structure using SolidWorks Simulation and extract the frequencies and shapes for a coarse mesh (not great agreement) and for a finer mesh (better agreement). Lastly, in Abaqus, I show how a beam element formulation can be used to get quite close agreement for the lower frequency mode shape but that for higher frequencies the agreement is less good. Using a quadratic formulation element (i.e. with mid-side nodes, allowing some more complex shape than for a linear equivalent) the agreement of the frequencies is improved and for a mesh with greater than two elements (I use 10), the agreement is further improved also for the higher frequencies, more spatially complex shapes. Ultimately, we are able to compare Abaqus with SolidWorks with MATLAB with an analytical results showing excellent agreement for the first three bending modes. We are also able to see the mode shapes for higher frequencies and for motions other than only the bending modes, i.e. for torsional, "in-plane" and longitudinal modes.