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How can we prove Topology Optimization method by Analytically/ Mathematical modelling. If not complex any Simple structures to show results matching with CAE techniques. ?
You could refer to below video where presenter talk about simple beam with mathematical approach.(Topic covered from 14:00-20:00)
Please refer free Optimization eBook /online tutorials and example guide for topology optimization.
https://altairuniversity.com/free-ebooks/free-ebook-practical-aspects-of-structural-optimization-a-study-guide/