Higher-order shear deformation theory and Ritz method for analysis of functionally graded sandwich curved beams
Ngoc-Duong Nguyen, Van-Tai Bui, Trung-Kien Nguyen, Thuc P. Vo
Abstract
This study introduces a higher-order shear deformation theory integrated with the Ritz method for analyzing buckling, free vibration, and bending responses of functionally graded (FG) sandwich curved beams. The governor equations are derived using the Lagrange equation, and Ritz shape functions are developed to solve the problem. The investigation covers three configurations of FG sandwich curved beams with symmetric and non-symmetric material distributions. Numerical simulations validate the proposed model and methodology. A comprehensive analysis is conducted to assess the effects of slenderness, radius of curvature, power-law index, axial force and boundary conditions on the structural responses of FG sandwich curved beams. The findings show that the proposed theory and approach effectively capture the complex behavior of FG sandwich curved beams. Key contributions include the integration of higher-order shear deformation theory with the Ritz method, providing an accurate structural analysis, and the in-depth exploration of factors like slenderness, curvature, and material distribution in influencing beam performance. These insights advance the design of systems using FG sandwich curved structures and contribute to the engineering community’s understanding of their structural behavior.