Size-Dependent Bending Response of Perforated Nanobeams on Winkler-Pasternak Foundation

Abstract

This study investigates the bending response of perforated nanobeams resting on Winkler-Pasternak elastic foundation (WPEF), using Eringen's theory of nonlocal elasticity (ENET). The analysis examines how various parameters affect the mechanical response of the nanobeam, including the nonlocal parameter, foundation parameters, filling ratio, and number of holes. Results indicate that an increase in the nonlocal parameter produces larger transverse displacements compared to classical beam theory, while the stiffness decreases due to nanoscale effects. The elastic foundation parameters significantly influence beam behavior, with the Pasternak model proving more effective than the Winkler model (WEF) in reducing displacement. Analysis of hole properties reveals that higher filling ratios increase beam stiffness, while an increase in the number of holes decreases nanobeam stiffness. These findings are crucial for optimizing the design of nanoelectromechanical systems and other nanostructured devices where bending behavior affects performance.

Keywords

• Nonlocal Elasticity
• Perforated Nanobeam
• Winkler-Pasternak Foundation
• Filling Ratio

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