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Learning the art/science of structural idealization

Computational Science Asked on June 12, 2021

I am a mechanical engineer working in the field of aerospace structures. During the course of my studies, I have studied a course on structural analysis in which I learned 3D Euler-Bernoulli beam theory, thin-walled beam theory, plane stress and plane strain formulations, and a graduate level course on finite element method. I have not studied any shear deformable beam theory or plate theory.

I want to learn the art/science of structural idealization, i.e., reduction of 3D models to a combination of 1D and 2D elements. For example, a long, slender member subjected to axial loads can be modeled as a rod (CROD element in Nastran), or if it is subjected to transverse loads, then beam elements (CBAR or CBEAM in Nastran) can be used. However, I don’t know how to idealize complex structures like wing. There are number of modeling approaches available in literature. Some reference suggest membrane elements for wing skins, while others suggest the use of shell elements. Similar "modeling discrepancies" exist for modeling of spar/rib webs.

I was wondering what is the best book/references/approach to use for learning structural idealization?

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