New Method Advances Perforated Nanobeam Bending Analysis

This research presents a new method for analyzing the bending behavior of perforated nanobeams using a Physics-Informed Functional Link Constrained Framework with Domain Mapping (DFL-TFC). The study focuses on the relationship between static bending responses and dynamic deflections for various perforation cases, utilizing a combination of the FL-TFC method and the Galerkin approach. The innovative method ensures strict satisfaction of boundary conditions and enhances computational efficiency without resorting to complex deep learning architectures.

The implications of this research are significant for the fields of material science and structural engineering, as it provides a robust framework for better understanding the mechanical properties of nanostructures under varying conditions. The ability to model both static and dynamic behaviors accurately enables engineers and researchers to improve material designs, potentially leading to advancements in applications such as nanocomposites and microelectromechanical systems (MEMS).