I now have a 1D structure with materials with two Young's modulus, and I want to analyze its response to different frequencies. For example, the bandgap of the structure. I am wondering if Abaqus can do this or not.
Nitin Sharma Thank you for providing me with that article calculating the bandgap of a periodic structure. Actually, I am wondering how to calculate the bandgap of a non-periodic/quasi-periodic structure with Abaqus. For example, I have a 1D structure with input from the left and I want its response to the input. How to add boundary conditions/constraints?
In order to obtain the dispersion relations, you need to model the unit cell of the periodic/quasi-periodic structure and apply Bloch's theorem (Floquet periodic condition). You would have to perform a wavenumber sweep over the irreducible Brillouin zone in order to observe the bandgap. I have not done this in Abaqus but in Comsol (for which a lot of tutorials are available) however, the overall concept and modelling approach should be the same irrespective of the computational platform. For quasi-periodic structures, the following article and the references cited within may be helpful for you.
Article Numerical investigations and experimental measurements on th...