Physics-Informed Neural Network for Perforated Nanobeam Bending Analysis
A new computational method, the Domain-mapped Functional Link Tensor-Product Constrained Framework (DFL-TFC), has been developed to analyze the bending behavior of perforated nanobeams under sinusoidal loading. The study compares static bending responses obtained via the FL-TFC method with dynamic deflections computed using the Galerkin method. The approach uses the Theory of Functional Connections (TFC) to embed governing differential equations into constrained expressions that exactly satisfy initial and boundary conditions. The domain of the differential equation is mapped to orthogonal polynomials. The research aims to determine the relationship between static and dynamic responses for various perforation cases. The work is published on arXiv (ID: 2604.24768).
Key facts
- arXiv paper ID: 2604.24768
- Method: Domain-mapped Functional Link Tensor-Product Constrained Framework (DFL-TFC)
- Analyzes bending of perforated nanobeam under sinusoidal loading
- Static bending via FL-TFC, dynamic deflection via Galerkin method
- Uses Theory of Functional Connections (TFC) to embed constraints
- Domain mapped to orthogonal polynomials
- Compares static and dynamic responses for various perforation cases
- Published on arXiv
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- arXiv